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6 papers · 2 filters
Exceptional del Pezzo hypersurfaces
Ivan Cheltsov, Jihun Park, Constantin Shramov
We compute global log canonical thresholds of a large class of quasismooth well-formed del Pezzo weighted hypersurfaces in . As a corollary we…
On some Fano--Enriques threefolds
Ilya Karzhemanov
We give a classification of Fano threefolds with canonical Gorenstein singularities such that possess a regular involution, which acts freely on some smooth surface in $|-K…
Factorial threefold hypersurfaces
Ivan Cheltsov
Let be a hypersurface in of degree that has at most isolated ordinary double points. We prove that is factorial in the case when has at most $(d-1)…
An update on semisimple quantum cohomology and F-manifolds
C. Hertling, Yu. Manin, C. Teleman
In the first section of this note we show that the Theorem 1.8.1 of Bayer--Manin ([BaMa]) can be strengthened in the following way: {\it if the even quantum cohomology of a project…
Local moduli of holomorphic bundles
Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe
We study moduli of holomorphic vector bundles on non-compact varieties. We discuss filtrability and algebraicity of bundles and calculate dimensions of local moduli. As particularl…
Halphen pencils on quartic threefolds
Ivan Cheltsov, Ilya Karzhemanov
For every smooth quartic threefold, we classify all pencils on it whose general element is an irreducible surface birational to a smooth surface of Kodaira dimension zero.