V. Batyrev

activity

19932024

most citedDual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

988 citations · 2k across the 45 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.AG2009

On generalisations of Losev-Manin moduli spaces for classical root systems

Victor Batyrev, Mark Blume

Losev and Manin introduced fine moduli spaces $L ˉ_{n}$ of stable $n$ -pointed chains of projective lines. The moduli space $L ˉ_{n + 1}$ is isomorphic to the toric variety $X(A…

math.AG2009★ 2 cited

The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces

Victor Batyrev, Mark Blume

A root system $R$ of rank $n$ defines an $n$ -dimensional smooth projective toric variety $X (R)$ associated with its fan of Weyl chambers. We give a simple description of the functo…

math.AG2009

Classification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension

Victor Batyrev, Dorothee Juny

A $n$ -dimensional Gorenstein toric Fano variety $X$ is called Del Pezzo variety if the anticanonical class $- K_{X}$ is a $(n - 1)$ -multiple of a Cartier divisor. Our purpose is to give…