Steklov Mathematical Institute

most citedCriticality for branching processes in random environment

172 citations

Showing math.AGShow all

6 papers · 1 filter

math.AG2005★ 1 cited

Elliptic structures on weighted three-dimensional Fano hypersurfaces

Ivan Cheltsov

We classify birational maps into elliptic fibrations of a general quasismooth hypersurface in $P (1, a_{1}, a_{2}, a_{3}, a_{4})$ of degree $\sum_{i = 1}^{4} a_{i}$ that has termi…

math.AG2005★ 3 cited

Homological Projective Duality

Alexander Kuznetsov

We introduce a notion of Homological Projective Duality for smooth algebraic varieties in dual projective spaces, a homological extension of the classical projective duality. If al…

math.AG2005★ 5 cited

Derived equivalences by quantization

D. Kaledin

We assume given a smooth symplectic (in the algebraic sense) resolution $X$ of an affine algebraic variety $Y$ , and we prove that, possibly after replacing $Y$ with an etale neighb…

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★ 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…