researcher

V. Batyrev

50 papers hereh-index 315.8k citations80 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author16
first author32

Across the 48 of 50 papers where every author was matched, so the position is known.

fields

math.AG29
alg-geom16
math.CO5

identity via Semantic Scholar / OpenAlex

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 2006Show all

2 papers · 1 filter

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 $d \leq n$ …

math.CO2006

Multiples of lattice polytopes without interior lattice points

Victor Batyrev, Benjamin Nill

Let $Δ$ be an $n$ -dimensional lattice polytope. The smallest non-negative integer $i$ such that $k Δ$ contains no interior lattice points for $1 \leq k \leq n - i$ we call the degr…

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Data

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Lattice polytopes with a given h∗-polynomial

Multiples of lattice polytopes without interior lattice points

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