V. Batyrev

activity

19972009

most citedIntegral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds

47 citations · 68 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.CO2007★ 2 cited

Combinatorial aspects of mirror symmetry

Victor Batyrev, Benjamin Nill

The purpose of this paper is to review some combinatorial ideas behind the mirror symmetry for Calabi-Yau hypersurfaces and complete intersections in Gorenstein toric Fano varietie…

math.CO2006

Lattice polytopes with a given $h^{*}$ -polynomial

Victor Batyrev

Let $Δ \subset R^{n}$ be an $n$ -dimensional lattice polytope. It is well-known that $h_{Δ}^{*} (t) := (1 - t)^{n + 1} \sum_{k \geq 0} ∣ k Δ \cap Z^{n} ∣ t^{k}$ is a polynomial of degree $d \leq n$ …

Combinatorial aspects of mirror symmetry

Lattice polytopes with a given h∗-polynomial

Lattice polytopes with a given $h^{*}$ -polynomial