3 citations · 11 across the 10 of their papers we have counts for
8 papers · 2 filters
On nodal sextic fivefold
Ivan Cheltsov
We prove the birational superrigidity and nonrationality of a hypersurface in of degree 6 having at most isolated ordinary double points.
Double cubics and double quartics
Ivan Cheltsov
We study a double cover branched over a smooth divisor such that is cut on by a hypersurface of degree ,…
Factorial threefolds and Shokurov vanishing
Ivan Cheltsov
We prove the factoriality of the following nodal threefolds: a complete intersection of hypersurfaces and of degree and respectively, where …
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…
Double spaces with isolated singularities
Ivan Cheltsov
We prove the non-rationality of a double cover of branched over a hypersurface of degree having isolated singularities such that $n\g…
Non-rational nodal quartic threefolds
Ivan Cheltsov
The -factoriality of a nodal quartic 3-fold implies its non-rationality. We prove that a nodal quartic 3-fold with at most 8 nodes is -factorial, and we sho…