Steklov Mathematical Institute

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19912026

most citedQuantum Inverse Scattering Method and Correlation Functions

866 citations

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Showing 2004 · math.AGShow all

8 papers · 2 filters

math.AG2004

Double cubics and double quartics

Ivan Cheltsov

We study a double cover $ψ : X \to V \subset P^{n}$ branched over a smooth divisor $R \subset V$ such that $R$ is cut on $V$ by a hypersurface of degree $2 (n - deg (V))$ ,…

math.AG2004★ 18 cited

Gromov-Witten invariants of Fano threefolds of genera 6 and 8

Victor Przyjalkowski

The aim of this paper is to prove Golyshev's conjecture in the cases of Fano threefolds $V_{10}$ and $V_{14}$ . This conjecture states modularity of D3 equations for smooth Fano thr…

math.AG2004★ 2 cited

Double spaces with isolated singularities

Ivan Cheltsov

We prove the non-rationality of a double cover of $P^{n}$ branched over a hypersurface $F \subset P^{n}$ of degree $2 n$ having isolated singularities such that $n\g…

math.AG2004★ 1 cited

On factoriality of nodal threefolds

Ivan Cheltsov

We prove the $Q$ -factoriality of a nodal hypersurface in $P^{4}$ of degree $n$ with at most $\frac{( n - 1 ) ^{2}}{4}$ nodes and the $Q$ -factoriality of a d…

math.AG2004★ 76 cited

Birational geometry of Fano direct products

Aleksandr V. Pukhlikov

We prove birational superrigidity of direct products $V = F_{1} \times ... \times F_{K}$ of primitive Fano varieties of the following two types: either $F_{i} \subset P^{M}$ is a genera…

math.AG2004★ 26 cited

Mirror symmetry for weighted projective planes and their noncommutative deformations

Denis Auroux, Ludmil Katzarkov, Dmitri Orlov

We study the derived categories of coherent sheaves of weighted projective spaces and their noncommutative deformations, and the derived categories of Lagrangian vanishing cycles o…