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

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Showing 2020 · math.AGShow all

3 papers · 2 filters

math.AG2020

Canonical models of toric hypersurfaces

Victor V. Batyrev

Let $Z$ be a nondegenerate hypersurface in $d$ -dimensional torus $(C^{*})^{d}$ defined by a Laurent polynomial $f$ with a $d$ -dimensional Newton polytope $P$ . The subset $F(P)…

math.AG2020★ 2 cited

On the stringy Hodge numbers of mirrors of quasi-smooth Calabi-Yau hypersurfaces

Victor V. Batyrev

Mirrors $X^{\lor}$ of quasi-smooth Calabi-Yau hypersurfaces $X$ in weighted projective spaces $P (w_{0}, \dots, w_{d})$ can be obtained as Calabi-Yau compactifications of non-de…

math.AG2020★ 5 cited

Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces

Victor Batyrev, Karin Schaller

We consider a $d$ -dimensional well-formed weighted projective space $P (w)$ as a toric variety associated with a fan $Σ (w)$ in $N_{\overline{w}} \otim…