Victor V. Batyrev
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
1993/10/05 by Victor V. Batyrev, Batyrev, Victor V. · 84 citations
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Advanced Algebra and Geometry
- Sur le nombre des points rationnels de hauteur borné des variétés algébriques
1990/03/01 by V. V. Batyrev, Victor V. Batyrev, Yu. I. Manin · 14 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Mathematics and Applications #Polynomial and algebraic computation
- Stringy Hodge numbers of varieties with Gorenstein canonical singularities
1997/11/06 by Victor V. Batyrev, Batyrev, Victor V. · 8 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #alg-geom #hep-th #math.AG
- Tamagawa numbers of polarized algebraic varieties
1997/12/01 by Victor V. Batyrev, Yu. Tschinkel, Batyrev, Victor V. +1 · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG
- Non-Archimedian integrals and stringy Euler numbers of log terminal\n pairs
1998/03/16 by Victor V. Batyrev, Batyrev, Victor V. · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th)
- On Calabi-Yau Complete Intersections in Toric Varieties
1994/12/18 by Victor V. Batyrev, Batyrev, Victor V., Lev Borisov +1 · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
- Manin's conjecture for toric varieties
1995/10/26 by Victor V. Batyrev, Batyrev, Victor V., Yuri Tschinkel +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics
- On the Classification of Toric Fano 4-folds
1998/01/22 by Victor V. Batyrev, Batyrev, Victor V. · 2 citations
Mathematics · #14M25 (Primary) #52B20 (Secondary) #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:14M25 #msc:52B20
- Rational Points of Bounded Height on Compactifications of Anisotropic Tori
1994/11/15 by Victor V. Batyrev, Yuri Tschinkel, Batyrev, Victor V. +1 · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics
- On the Hodge Structure of Projective Hypersurfaces in Toric Varieties
1993/06/25 by Victor V. Batyrev, Batyrev, Victor V., Cox, David A. · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
- Strong McKay Correspondence, String-theoretic Hodge Numbers and Mirror Symmetry
1994/10/04 by Victor V. Batyrev, Dimitrios I. Dais, Batyrev, Victor V. +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics
- Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds
1998/03/24 by Victor V. Batyrev, Batyrev, Victor V., Ionuţ Ciocan-Fontanine +5 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics
- Einstein-Kaehler Metrics on Symmetric Toric Fano Manifolds
1999/01/01 by Victor V. Batyrev, Elena N. Selivanova, Batyrev, Victor V. +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.AP #math.CV #math.DG
- Satellites of spherical subgroups
2016/10/24 by Victor V. Batyrev, Batyrev, Victor, Anne Moreau +1 · 1 citation
Mathematics · #14L30 #14M27 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)
- Spherical amoebae and a spherical logarithm map
2024/03/14 by Victor V. Batyrev, Batyrev, Victor, Megumi Harada +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · #14M27 #14T20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Legionella and Acanthamoeba research #Protist diversity and phylogeny