988 citations · 2k across the 45 of their papers we have counts for
50 papers
On the classification of smooth toric surfaces with exactly one exceptional curve
Victor Batyrev
We classify all smooth projective toric surfaces containing exactly one exceptional curve. We show that every such surface is isomorphic to either or a surfa…
Spherical amoebae and a spherical logarithm map
Victor Batyrev, Megumi Harada, Johannes Hofscheier +1
Let be a connected reductive algebraic group over with a maximal compact subgroup . Let be a (quasi-affine) spherical homogeneous space. In the first part…
Hodge Theory of Hypersurfaces in Toric Varieties and Recent Developments in Quantum Physics
Victor V. Batyrev
This is the author's Habilitation which took place at University of Essen on July 11, 1993. The manuscript contains two parts. The first one is devoted to the author's combinatoria…
Projecting lattice polytopes according to the Minimal Model Program
Victor V. Batyrev
The Fine interior of a -dimensional lattice polytope is the set of all points having integral distance at least to any integral suppo…
Canonical models of toric hypersurfaces
Victor V. Batyrev
Let be a nondegenerate hypersurface in -dimensional torus defined by a Laurent polynomial with a -dimensional Newton polytope . The subset $F(P)…
On the stringy Hodge numbers of mirrors of quasi-smooth Calabi-Yau hypersurfaces
Victor V. Batyrev
Mirrors of quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces can be obtained as Calabi-Yau compactifications of non-de…