Preprints of Prof. Batyrev
-
Combinatorial aspects of mirror symmetry
March 2007
with: Benjamin Nill
-
Lattice polytopes with a given $h^*$-polynomial
February 2006
Algebraic and geometric combinatorics, 1--10,
Contemp. Math., 423, Amer. Math. Soc., Providence, RI, 2006.
-
Multiples of lattice polytopes without interior lattice points
February 2006
Mosc. Math. J. 7 (2007), no. 2, 195--207
with: Benjamin Nill
-
Integral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds
May 2005
Mirror symmetry. V, 255--270, AMS/IP Stud. Adv. Math.,
38, Amer. Math. Soc., Providence, RI, 2006.
with: Maximilian Kreuzer
-
The Cox ring of a Del Pezzo surface
September 2003
Arithmetic of higher-dimensional algebraic varieties
(Palo Alto, CA, 2002), 85--103, Progr. Math., 226,
Birkhäuser Boston, Boston, MA, 2004.
with: Oleg N. Popov
-
Mixed toric residues and Calabi-Yau complete intersections
June 2002
Calabi-Yau varieties and mirror symmetry (Toronto, ON, 2001),
3--26, Fields Inst. Commun., 38, Amer. Math. Soc., Providence, RI, 2003
with: Evgeny N. Materov
-
Toric Residues and Mirror Symmetry
March 2002
Mosc. Math. J. 2 (2002), no. 3, 435--475
with: Evgeny N. Materov
-
Canonical abelianization of finite group actions
September 2000
-
Einstein-Kaehler Metrics on Symmetric Toric Fano Manifolds
January 1999
J. Reine Angew. Math. 512 (1999), 225--236.
with: Elena N. Selivanova
-
Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds
March 1998
Acta Math. 184 (2000), no. 1, 1--39
with: Ionut Ciocan-Fontanine, Bumsig Kim, Duco van Straten
-
Non-Archimedian integrals and stringy Euler numbers of log terminal pairs
March 1998
J. Eur. Math. Soc. (JEMS) 1 (1999), no. 1, 5--33
-
On the Classification of Toric Fano 4-folds
January 1998
J. Math.
Sci. (New York) 94 (1999), no. 1, 1021--1050
-
Toric Degenerations of Fano Varieties and Constructing Mirror
Manifolds
December 1997
The Fano Conference, 109--122, Univ. Torino, Turin, 2004.
-
Tamagawa numbers of polarized algebraic varieties
November 1997
Astérisque No. 251 (1998), 299--340
with: Yu. Tschinkel
-
Stringy Hodge numbers and Virasoro algebra
November 1997
Math. Res. Lett. 7 (2000), no.
2-3, 155--164
-
Stringy Hodge numbers of varieties with Gorenstein canonical singularities
November 1997
Integrable systems and algebraic geometry (Kobe/Kyoto, 1997), 1--32, World Sci. Publishing, River Edge, NJ,
1998.
-
Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete
Intersections in Grassmannians
October 1997
Nuclear Phys. B 514
(1998), no. 3, 640--666.
with: Ionut Ciocan-Fontanine, Bumsig Kim, Duco van Straten
-
Birational Calabi--Yau n-folds have equal Betti numbers
October 1997
New trends in
algebraic geometry (Warwick, 1996), 1--11, London Math. Soc. Lecture Note Ser., 264, Cambridge Univ. Press,
Cambridge, 1999
-
Height Zeta Functions of Toric Varieties
June 1996
J.
Math. Sci. 82 (1996), no. 1, 3220--3239
with: Yuri Tschinkel
-
Rational points on some Fano cubic bundles
Februar 1996
C. R. Acad.
Sci. Paris Sér. I Math. 323 (1996), no. 1, 41--46
with: Yuri Tschinkel
-
Manin's conjecture for toric varieties
October 1995
J. Algebraic Geom.
7 (1998), no. 1, 15--53
with: Yuri Tschinkel
-
Mirror duality and string-theoretic Hodge numbers
September 1995
Invent.
Math. 126 (1996), no. 1, 183--203
with: Lev A. Borisov
-
On Calabi-Yau Complete Intersections in Toric Varieties
December 1994
Higher-dimensional complex varieties (Trento, 1994),
39--65, de Gruyter, Berlin, 1996
with: Lev A. Borisov
-
Rational Points of Bounded Height on Compactifications of Anisotropic Tori
November 1994
Internat. Math. Res. Notices 1995, no. 12, 591--635
with: Yuri Tschinkel
-
Strong McKay Correspondence, String-theoretic Hodge Numbers
and Mirror Symmetry
October 1994
Topology 35 (1996), no. 4, 901--929
with: Dimitrios I. Dais
-
Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
Februar 1994
Mirror symmetry, II, 71--86, AMS/IP Stud. Adv.
Math., 1, Amer. Math. Soc., Providence,
RI, 1997
with: Lev A. Borisov
-
Quantum Cohomology Rings of Toric Manifolds
October 1993
Astérisque No. 218 (1993), 9--34
-
Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces
in Toric Varieties
October 1993
J. Algebraic Geom. 3 (1994), no. 3, 493--535
-
Generalized Hypergeometric Functions and Rational Curves on
Calabi-Yau Complete Intersections in
Toric Varieties
July 1993
Comm. Math. Phys. 168 (1995), no. 3, 493--533
with: Duco van Straten
-
On the Hodge Structure of Projective Hypersurfaces in Toric Varieties
June 1993
Duke Math. J. 75 (1994), no. 2, 293--338
with: David A. Cox
Some other publications:
- Batyrev, Victor V.
Mirror symmetry and toric geometry Proceedings of the International
Congress of Mathematicians, Vol. II (Berlin, 1998).
Doc. Math. 1998, Extra Vol. II, 239--248
- Batyrev, Victor V.
Variations of the mixed Hodge structure of affine hypersurfaces in algebraic
tori. Duke Math. J. 69 (1993), no. 2, 349--409
-
Batyrev, Victor V. The cone of effective divisors of threefolds.
Proceedings of the International
Conference on Algebra, Part 3 (Novosibirsk, 1989), 337--352, Contemp. Math., 131, Part 3, Amer. Math. Soc.,
Providence, RI, 1992
-
Batyrev, Victor V. On the classification of smooth
projective toric varieties.
Tohoku Math. J. (2)
43 (1991), no. 4, 569--585
-
Batyrev, V. V.; Manin, Yu. I. Sur le nombre des
points rationnels de hauteur borné des variétés
algébriques. (French) [On the number of rational points of bounded
height of algebraic varieties] Math. Ann. 286
(1990), no. 1-3, 27--43.
-
Batyrev, V. V.; Mel'nikov, D. A. A theorem on nonextendability
of toric varieties.
(Russian) Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1986, no. 3, 20--24, 118
-
Batyrev, V. V. Some numerical characteristics of multidimensional
Fano varieties. (Russian)
Izv. Akad. Nauk SSSR Ser. Mat. 49 (1985), no. 2, 445--459, 463
-
Batyrev, V. V. Boundedness of the degree of multidimensional toric Fano
varieties. (Russian)
Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1982, no. 1, 22--27, 76--77.
-
Batyrev, V. V. Toric Fano threefolds. (Russian) Izv. Akad.
Nauk SSSR Ser. Mat. 45 (1981), no.
4, 704--717, 927.
-
Batyrev, V. V. Rational equivalence and K-theory on toric varieties.
(Russian) Algebra, logic
and number theory (Russian), 15--17, Moskov. Gos. Univ., Moscow, 1986