I. Cheltsov

activity

20002005

most citedWeighted Fano threefold hypersurfaces

3 citations · 11 across the 10 of their papers we have counts for

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11 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

Weighted Fano threefold hypersurfaces

Ivan Cheltsov, Jihun Park

We study birational transformations into elliptic fibrations and birational automorphisms of quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces having terminal…

math.AG2004

On nodal sextic fivefold

Ivan Cheltsov

We prove the birational superrigidity and nonrationality of a hypersurface in $P^{6}$ of degree 6 having at most isolated ordinary double points.

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

Factorial threefolds and Shokurov vanishing

Ivan Cheltsov

We prove the factoriality of the following nodal threefolds: a complete intersection of hypersurfaces $F$ and $G \subset P^{5}$ of degree $n$ and $k$ respectively, where $G$ …

math.AG2004★ 1 cited

Hyperelliptic and trigonal Fano threefolds

Ivan Cheltsov, Constantin Shramov, Victor Przyjalkowski

We classify Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system has no base points but does not give an embedding, and we classify anticanonicall…