Victor Batyrev

Q: What Schools Are Affiliated With Victor Batyrev

Victor Batyrev is affiliated with the following schools: University of Tübingen, Moscow State University

Victor Batyrev's AcademicInfluence.com Rankings

Victor Batyrev

Mathematics

#4605

World Rank

#6524

Historical Rank

Algebraic Geometry

#171

World Rank

#179

Historical Rank

Measure Theory

#3028

World Rank

#3596

Historical Rank

mathematics Degrees

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Mathematics

Why Is Victor Batyrev Influential?

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According to Wikipedia, Victor Vadimovich Batyrev is a Russian mathematician, specializing in algebraic and arithmetic geometry and its applications to mathematical physics. He is a professor at the University of Tübingen.

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Victor Batyrev'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

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties (1993) (1207)
Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties (1993) (404)
Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori (1993) (249)
Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry (1994) (239)
On the Hodge structure of projective hypersurfaces in toric varieties (1993) (223)
Stringy Hodge numbers of varieties with Gorenstein canonical singularities (1997) (208)
Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs (1998) (204)
Quantum Cohomology Rings of Toric Manifolds (1993) (196)
Mirror duality and string-theoretic Hodge numbers (1995) (189)
On the classification of toric Fano 4-folds (1998) (171)
Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians (1997) (170)
Manin's conjecture for toric varieties (1995) (165)
Mirror symmetry and toric degenerations of partial flag manifolds (1998) (160)
New Trends in Algebraic Geometry: Birational Calabi–Yau n -folds have equal Betti numbers (1997) (153)
ON THE CLASSIFICATION OF SMOOTH PROJECTIVE TORIC VARIETIES (1991) (152)
Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds (1994) (146)
Tamagawa numbers of polarized algebraic varieties (1997) (113)
The Cox Ring of a Del Pezzo Surface (2003) (110)
Rational points on some Fano cubic bundles (1996) (89)
Rational Points of Bounded Height on Compactifications of Anisotropic Tori (1994) (87)
Combinatorial aspects of mirror symmetry (2007) (84)
TOROIDAL FANO 3-FOLDS (1982) (65)
Einstein-Kaehler Metrics on Symmetric Toric Fano Manifolds (1999) (64)
Integral cohomology and mirror symmetry for Calabi-Yau 3-folds (2005) (59)
Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions (2008) (56)
Multiples of lattice polytopes without interior lattice points (2006) (56)
Height zeta functions of toric varieties (1996) (55)
Toric Degenerations of Fano Varieties and Constructing Mirror Manifolds (1997) (52)
The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces (2009) (35)
Toric Residues and Mirror Symmetry (2002) (30)
Lattice polytopes with a given $h^*$-polynomial (2006) (27)
Stringy Hodge numbers and Virasoro algebra (1997) (23)
The arc space of horospherical varieties and motivic integration (2012) (22)
Mixed toric residues and Calabi-Yau complete intersections (2002) (18)
The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality (2017) (17)
On the Betti numbers of birationally isomorphic projective varieties with trivial canonical bundles (1997) (17)
Classification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension (2009) (15)
On the geometry of SL(2)-equivariant flips (2008) (14)
Stringy Chern classes of singular toric varieties and their applications (2016) (10)
On generalisations of Losev-Manin moduli spaces for classical root systems (2009) (10)
Canonical abelianization of finite group actions (2000) (10)
A generalization of a theorem of G. K. White (2010) (8)
Lattice polytopes, finite abelian subgroups in $\SL(n,\C)$ and coding theory (2013) (8)
Canonical models of toric hypersurfaces (2020) (8)
On the Fine Interior of Three-dimensional Canonical Fano Polytopes (2019) (6)
Algebraic and Geometric Combinatorics (2007) (6)
Conifold degenerations of Fano 3-folds as hypersurfaces in toric varieties (2012) (5)
On the stringy Hodge numbers of mirrors of quasi-smooth Calabi-Yau hypersurfaces (2020) (4)
Calabi-Yau Varieties and Mirror Symmetry (4)
Rational points on toric varieties (1995) (4)
Satellites of spherical subgroups (2016) (3)
Mirror symmetry for quasi-smooth Calabi–Yau hypersurfaces in weighted projective spaces (2020) (3)
NUMBER THEORY AND PHYSICS AT THE CROSSROADS (2011) (2)
Stringy -functions of canonical toric Fano threefolds and their applications (2018) (2)
On the algebraic stringy Euler number (2016) (2)
COHOMOLOGY, PERIODS AND THE HODGE STRUCTURE OF TORIC HYPERSURFACES (2003) (1)
Non-commensurability of the AC Stark spectrum components of N two-level atoms in a resonance self-consistent radiation field (1989) (1)
ON SOME NUMERICAL CHARACTERISTICS OF MULTIDIMENSIONAL FANO VARIETIES (1986) (1)
Convex and Algebraic Geometry (2006) (1)
Toric varieties and smooth convex approximation of a polytope (1992) (1)
O ct 1 99 5 MIRROR DUALITY AND STRING-THEORETIC HODGE NUMBERS (2008) (0)
ON THE CLASSIFICATION OF SMOOTH PROJECTIVE (2007) (0)
5 S ep 2 00 0 Canonical abelianization of finite group actions (2008) (0)
Spherical varieties and arc spaces (2017) (0)
ON THE CLASSIFICATION OF SMOOTH PROJECTIVE (2007) (0)
A G ] 2 0 M ar 2 00 2 TORIC RESIDUES AND MIRROR SYMMETRY (2002) (0)
On the classification of smooth complete toric varieties with Picard number 3(Geometry of Toric Varieties and Convex Polytopes) (1992) (0)
Radiation, Chemical and Biological Protection of the Population: Coal, Objectives and Directions of Improvement for the Period up to 2020 (2014) (0)
HEIGHT ZETA FUNCTIONS OF TORIC VARIETIESVICTOR (0)
Current requirements for self-rescuers – small filtering respiratory protection devices for the population in emergency situations (2021) (0)
Rational points of bounded height on toric varieties(Geometry of Toric Varieties and Convex Polytopes) (1992) (0)
Book Review: Mirror symmetry and algebraic geometry (2000) (0)

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What Schools Are Affiliated With Victor Batyrev?

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Victor Batyrev's Academic­Influence.com Rankings

Why Is Victor Batyrev Influential?

Victor Batyrev's Published Works

Published Works

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What Schools Are Affiliated With Victor Batyrev?

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Victor Batyrev's AcademicInfluence.com Rankings