Victor Batyrev
#86,248
Most Influential Person Now
Russian mathematician
Victor Batyrev's AcademicInfluence.com Rankings
Victor Batyrevmathematics Degrees
Mathematics
#4605
World Rank
#6524
Historical Rank
Algebraic Geometry
#171
World Rank
#179
Historical Rank
Measure Theory
#3028
World Rank
#3596
Historical Rank

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Mathematics
Why Is Victor Batyrev Influential?
(Suggest an Edit or Addition)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.
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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