988 citations · 2k across the 45 of their papers we have counts for
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math.AG1998★ 4 cited
Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds
Victor V. Batyrev, Ionut Ciocan-Fontanine, Bumsig Kim +1
In this paper we propose and discuss a mirror construction for complete intersections in partial flag manifolds . This construction includes our previous mirro…
math.AG1998★ 11 cited
Non-Archimedian integrals and stringy Euler numbers of log terminal pairs
Victor V. Batyrev
Using non-Archimedian integration over spaces of arcs of algebraic varieties, we define stringy Euler numbers associated with arbitrary Kawamata log terminal pairs. There is a natu…
math.AG1998★ 4 cited
On the Classification of Toric Fano 4-folds
Victor V. Batyrev
In this paper we explain the complete biregular classification of all 4-dimensional smooth toric Fano varieties. The main result states that there exist exactly 123 different types…