Small toric degenerations of Fano threefolds

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arxiv 1809.02705 v1 pith:W3DATZ6Q submitted 2018-09-07 math.AG

Sergey Galkin This is my paper · ORCID

classification math.AG

keywords fanothreefoldsdegenerationstoricadmitclassifydoubleordinary

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We classify smooth Fano threefolds that admit degenerations to toric Fano threefolds with ordinary double points.

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Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$
math.AG 2025-06 reject novelty 6.0 of 10

The cohomology and intersection form of smooth hypersurfaces in weighted projective spaces are computed explicitly via Alexander duality and a covering by ordinary projective space.