Misha Verbitsky
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Russian mathematician
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Misha Verbitskymathematics Degrees
Mathematics
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#1356
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Geometry
#28
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#56
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Algebraic Geometry
#175
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#183
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Measure Theory
#3127
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#3708
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Mathematics
Misha Verbitsky's Degrees
- PhD Mathematics Moscow State University
Why Is Misha Verbitsky Influential?
(Suggest an Edit or Addition)According to Wikipedia, Misha Verbitsky is a Russian mathematician. He works at the Instituto Nacional de Matemática Pura e Aplicada in Rio de Janeiro. He is primarily known to the general public as a controversial critic, political activist and independent music publisher.
Misha Verbitsky's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A global Torelli theorem for hyperkahler manifolds (2009) (158)
- Mapping class group and a global Torelli theorem for hyperkähler manifolds (2013) (158)
- Cohomology of compact hyperkähler manifolds and its applications (1996) (86)
- Hyperkaehler manifolds with torsion, supersymmetry and Hodge theory (2001) (82)
- STRUCTURE THEOREM FOR COMPACT VAISMAN MANIFOLDS (2003) (72)
- Holomorphic symplectic geometry and orbifold singularities (1999) (71)
- Locally conformal Kähler manifolds with potential (2010) (70)
- Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds (2008) (65)
- Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry (2007) (61)
- Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry (2005) (60)
- Rational curves on hyperkahler manifolds (2014) (60)
- Morse–Novikov cohomology of locally conformally Kähler manifolds (2007) (51)
- Ergodic complex structures on hyperkähler manifolds (2013) (50)
- Non-Hermitian Yang-Mills connections (1996) (49)
- Period Map for Non-Compact Holomorphically Symplectic Manifolds (2000) (44)
- Sasakian structures on CR-manifolds (2006) (43)
- A report on locally conformally Kahler manifolds (2010) (41)
- Morrison-Kawamata cone conjecture for hyperkahler manifolds (2014) (39)
- LCK rank of locally conformally Kähler manifolds with potential (2016) (38)
- Hyperkähler Syz Conjecture and Semipositive Line Bundles (2008) (37)
- An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry (2005) (36)
- Rational curves and special metrics on twistor spaces (2012) (35)
- Topology of Locally Conformally Kähler Manifolds with Potential (2009) (35)
- Trihyperkähler reduction and instanton bundles on $\mathbb{C}\mathbb{P}^{3}$ (2011) (34)
- Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds (2008) (33)
- An immersion theorem for Vaisman manifolds (2003) (33)
- Coherent sheaves on general K3 surfaces and tori (2002) (29)
- Manifolds with parallel differential forms and Kähler identities for G2-manifolds. (2005) (28)
- Locally conformally Kähler metrics obtained from pseudoconvex shells (2012) (27)
- Vanishing theorems for locally conformal hyperkaehler manifolds (2003) (27)
- Embeddings of compact Sasakian manifolds (2006) (26)
- Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum (2019) (25)
- Hyperholomorphic sheaves and new examples of hyperkaehler manifolds (1997) (25)
- Hodge theory on nearly Kaehler manifolds (2005) (24)
- Trianalytic Subvarieties of the Hilbert Scheme of Points on a K3 Surface (1997) (23)
- Hypercomplex manifolds with trivial canonical bundle and their holonomy (2004) (23)
- Coherent sheaves on generic compact tori (2003) (22)
- Oeljeklaus-Toma manifolds admitting no complex subvarieties (2010) (21)
- Automorphisms of locally conformally Kahler manifolds (2009) (21)
- Quaternionic Dolbeault complex and vanishing theorems on hyperkähler manifolds (2006) (21)
- Blow-ups of locally conformally Kahler manifolds (2011) (20)
- Hyperkahler manifolds with torsion obtained from hyperholomorphic bundles (2003) (20)
- Partial resolutions of Hilbert type, Dynkin diagrams, and generalized Kummer varieties (1998) (20)
- Teichmuller space for hyperkahler and symplectic structures (2015) (19)
- Tri-analytic subvarieties of hyperkaehler manifolds (1995) (18)
- Stable bundles on positive principal elliptic fibrations (2004) (18)
- Kuga-Satake construction and cohomology of hyperkähler manifolds (2017) (18)
- Cohomology of compact hyperkaehler manifolds (1995) (18)
- Deformations of trianalytic subvarieties of hyperkähler manifolds (1996) (17)
- Complex geometry of moment-angle manifolds (2013) (17)
- Hypercomplex Varieties (1997) (16)
- Hypercomplex structures on Kähler manifolds (2005) (15)
- Existence of HKT metrics on hypercomplex manifolds of real dimension 8 (2014) (15)
- Locality in the Fukaya category of a hyperkähler manifold (2018) (14)
- Embedding of LCK Manifolds with Potential into Hopf Manifolds Using Riesz-Schauder Theorem (2017) (13)
- Classification of non-Kähler surfaces and locally conformally Kähler geometry (2018) (13)
- Compact Kahler 3-manifolds without non-trivial subvarieties (2013) (13)
- Plurisubharmonic functions in calibrated geometry and q-convexity (2007) (13)
- Einstein-Weyl structures on complex manifolds and conformal version of Monge-Ampère equation (2006) (12)
- Positive forms on hyperkahler manifolds (2008) (12)
- Construction of automorphisms of hyperkähler manifolds (2016) (12)
- Kobayashi pseudometric on hyperkähler manifolds (2013) (12)
- Locally conformally Kaehler manifolds with potential (2004) (11)
- Positivity of LCK Potential (2017) (11)
- Contraction centers in families of hyperkähler manifolds (2019) (11)
- Multiplicity of singularities is not a bi-Lipschitz invariant (2018) (11)
- Calibrations in hyperkahler geometry (2010) (11)
- Subvarieties in non-compact hyperkaehler manifolds (2003) (11)
- Degenerate twistor spaces for hyperkahler manifolds (2013) (10)
- Unobstructed symplectic packing for tori and hyper-Kähler manifolds (2014) (10)
- Families of Lagrangian fibrations on hyperkähler manifolds (2012) (10)
- Hyperkaehler and holomorphic symplectic geometry (1993) (9)
- Collections of Orbits of Hyperplane Type in Homogeneous Spaces, Homogeneous Dynamics, and Hyperkähler Geometry (2016) (8)
- Holomorphic bundles on diagonal Hopf manifolds (2004) (8)
- Projective bundles over hyperkaehler manifolds and stability of Fourier-Mukai transform (2001) (8)
- Stable bundles on hypercomplex surfaces (2006) (8)
- Hyperbolic geometry of the ample cone of a hyperkähler manifold (2015) (8)
- Moduli spaces of framed instanton bundles on CP^3 and twistor sections of moduli spaces of instantons on C^2 (2010) (7)
- Algebraic dimension of complex nilmanifolds (2016) (7)
- Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential (2015) (7)
- A CR twistor space of a G2-manifold (2010) (7)
- On non-Kähler degrees of complex manifolds (2016) (7)
- Subvarieties of hypercomplex manifolds with holonomy in SL(n,H) (2012) (6)
- Parabolic nef currents on hyperkaehler manifolds (2009) (6)
- Holography principle for twistor spaces (2012) (6)
- Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space (2010) (6)
- Hopf surfaces in locally conformally Kähler manifolds with potential (2016) (6)
- Trianalytic subvarieties of generalized Kummer varieties (1998) (6)
- Algebraically hyperbolic manifolds have finite automorphism groups (2017) (6)
- Locally conformally Kähler manifolds admitting a holomorphic conformal flow (2010) (5)
- Ergodic complex structures on hyperkahler manifolds: an erratum (2017) (5)
- Mirror Symmetry for hyperkähler manifolds (1995) (5)
- Positive toric fibrations (2007) (5)
- Hyperholomorphic bundles (1993) (5)
- Pseudoholomorphic Curves on Nearly Kähler Manifolds (2012) (5)
- Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds (2019) (5)
- k-symplectic structures and absolutely trianalytic subvarieties in hyperkähler manifolds (2014) (5)
- Algebraic structures on hyperkähler manifolds (1996) (4)
- A formally Kähler structure on a knot space of a G2-manifold (2010) (4)
- Pullbacks of hyperplane sections for Lagrangian fibrations are primitive (2016) (4)
- MBM loci in families of hyperkahler manifolds and centers of birational contractions (2018) (3)
- Flat affine subvarieties in Oeljeklaus–Toma manifolds (2017) (3)
- The Moser isotopy for holomorphic symplectic and C-symplectic structures (2021) (3)
- Principles of Locally Conformally Kahler Geometry (2022) (2)
- Cohomology of compact hyperkaehler manifolds and its applications (1995) (2)
- Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations (2020) (2)
- Wirtinger numbers and holomorphic symplectic immersions (1998) (2)
- Hyperholomorphic connections on coherent sheaves and stability (2001) (2)
- Holomorphic Lagrangian Fibrations on Hypercomplex Manifolds (2013) (2)
- Holomorphic Symplectic Geometry Ii (1994) (2)
- Deformations and BBF form on non-Kahler holomorphically symplectic manifolds (2019) (2)
- Compact pluricanonical manifolds are Vaisman (2015) (2)
- Desingularization of singular hyperkähler varieties II (2008) (2)
- Rigid hyperholomorphic sheaves remain rigid along twistor deformations of the underlying hyparkähler manifold (2017) (2)
- On the Kobayashi Pseudometric, Complex Automorphisms and Hyperkähler Manifolds (2016) (2)
- Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds (2021) (2)
- Hypercomplex structures on Kaehler manifolds (2004) (1)
- Rational Curves and MBM Classes on Hyperkähler Manifolds: A Survey (2020) (1)
- Algebraic cones of LCK manifolds with potential (2022) (1)
- Oeljeklaus-Toma manifolds with no subvarieties (2017) (1)
- Transcendental Hodge algebra (2015) (1)
- Rigidity of Lagrangian embeddings into symplectic tori and K3 surfaces (2021) (1)
- MBM classes and contraction loci on low-dimensional hyperkähler manifolds of K3${}^{[n]}$ type (2019) (1)
- Algebraic non-hyperbolicity of hyperkahler manifolds with Picard rank greater than one (2016) (1)
- Lee classes on LCK manifolds with potential (2021) (1)
- A Calabi-Yau theorem for Vaisman manifolds (2022) (1)
- Flat affine subvarieties in Oeljeklaus–Toma manifolds (2018) (1)
- TWISTED DOLBEAULT COHOMOLOGY OF NILPOTENT LIE ALGEBRAS (2019) (1)
- Mirror Symmetry for hyperkaehler manifolds (1995) (1)
- Stable Higgs bundles over positive principal elliptic fibrations (2018) (0)
- Unobstructed symplectic packing by ellipsoids for tori and hyperkähler manifolds (2017) (0)
- Compact homogeneous locally conformally Kahler manifolds are Vaisman. A new proof (2021) (0)
- Non-linear Hopf Manifolds are Locally Conformally Kähler (2022) (0)
- Moduli spaces of framed instanton bundles and twistor sections of moduli spaces of instantons (2010) (0)
- symplectic Hyperk¨ahler embeddings and holomorphic symplectic geometry (2021) (0)
- Einstein-Weyl structures on complex manifolds (2006) (0)
- Special Hermitian structures on suspensions (2022) (0)
- Closed orbits of Reeb fields on compact Sasakian manifolds (2021) (0)
- Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kähler geometry (2019) (0)
- Teichmuller spaces, ergodic theory and global Torelli theorem (2014) (0)
- Mall bundles and flat connections on Hopf manifolds (2022) (0)
- Roundness of the ample cone and existence of double Lagrangian fibrations on hyperkahler manifolds (2021) (0)
- Unobstructed symplectic packing by ellipsoids for tori and hyperkähler manifolds (2017) (0)
- Algebraic Structures on Hyperkähler Manifolds Algebraic Structures on Hyperkähler Manifolds (1996) (0)
- Complex geometry of moment-angle manifolds (2016) (0)
- A simple proof of stability of Fourier-Mukai transform (2002) (0)
- Positivity of LCK Potential (2018) (0)
- Hopf surfaces in locally conformally Kähler manifolds with potential (2019) (0)
- Derived brackets and generalized complex manifolds (2013) (0)
- Derived brackets and generalized complex manifolds (2013) (0)
- A report on locally conformally K (2010) (0)
- Special Hermitian structures obtained from hyperbolic suspensions (2022) (0)
- Classification of holomorphic Pfaff systems on Hopf manifolds (2020) (0)
- Desingularization of singular hyperkaehler varieties II (1996) (0)
- SINGULARITIES IN HYPERKÄHLER GEOMETRY (2001) (0)
- Multiplicity of singularities is not a bi-Lipschitz invariant (2020) (0)
- Hyperkaehler Embeddings II (1994) (0)
- Cohomology of Compact Hyperkk Ahler... (applications) Cohomology of Compact Hyperkk Ahler Manifolds and Its Applications (2008) (0)
- Kahler-type embeddings of balls into symplectic manifolds (2022) (0)
- Classification of holomorphic Pfaff systems on Hopf manifolds (2021) (0)
- Holomorphic tensors on Vaisman manifolds (2023) (0)
- Algebraic structures on hyperkaehler manifold (1996) (0)
- Deformations of Trianalytic Subvarieties Deformations of Trianalytic Subvarieties of Hyperkk Ahler Manifolds (2007) (0)
- TWISTED DOLBEAULT COHOMOLOGY OF NILPOTENT LIE ALGEBRAS (2020) (0)
- Do products of compact complex manifolds admit LCK metrics? (2022) (0)
- Locally conformally Kähler manifolds admitting a holomorphic conformal flow (2012) (0)
- Algebraic Structures on Hyperkk Ahler Manifolds Algebraic Structures on Hyperkk Ahler Manifolds (2007) (0)
- Transcendental Hodge algebra (2017) (0)
- Desingularization of singular hyperkaehler varieties I (1996) (0)
- Editors’ preface for the topical issue “Instantons, coherent sheaves and their moduli spaces” (2012) (0)
- Parabolic automorphisms of hyperkahler manifolds (2021) (0)
- Period Maps and Cohomology Cohomology of Compact Hyperkk Ahler Manifolds (1995) (0)
- Non-commutative Barge-Ghys quasimorphisms (2022) (0)
- Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds (2021) (0)
- Blow-ups of locally conformally (2011) (0)
- Holography Principle for Twistor Spaces 327 1 Introduction 1 . 1 Quasilines on complex manifolds (2014) (0)
- Blow-ups of locally conformally (2011) (0)
- Bimeromorphic geometry of LCK manifolds (2023) (0)
- Rigid hyperholomorphic sheaves remain rigid along twistor deformations of the underlying hyparkähler manifold (2019) (0)
- Hyperbolic geometry of the ample cone of a hyperkähler manifold (2016) (0)
- Rigid currents on compact hyperkahler manifolds (2023) (0)
- A formally Kähler structure on a knot space of a G2-manifold (2011) (0)
- Pseudoholomorphic Curves on Nearly Kähler Manifolds (2013) (0)
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