988 citations · 2k across the 45 of their papers we have counts for
4 papers · 1 filter
On Calabi-Yau Complete Intersections in Toric Varieties
Victor V. Batyrev, Lev A. Borisov
We investigate Hodge-theoretic properties of Calabi-Yau complete intersections of semi-ample divisors in -dimensional toric Fano varieties having at most Gorenstein sing…
Strong McKay Correspondence, String-theoretic Hodge Numbers and Mirror Symmetry
Victor V. Batyrev, Dimitrios I. Dais
In the revised version of the paper, we correct misprints and add some new statements.
Rational Points of Bounded Height on Compactifications of Anisotropic Tori
Victor V. Batyrev, Yuri Tschinkel
We investigate the analytic properties of the zeta-function associated with heights on equivariant compactifications of anisotropic tori over number fields. This allows to verify c…
Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
Victor V. Batyrev, Lev A. Borisov
We introduce a special class of convex rational polyhedral cones which allows to construct generalized Calabi-Yau varieties of dimension , where is a positive int…