Hodge level for weighted complete intersections

Abstract

We give lower bounds for Hodge numbers of smooth well formed Fano weighted complete intersections. In particular, we compute their Hodge level, that is, the maximal distance between non-trivial Hodge numbers in the same row of the Hodge diamond. This allows us to classify varieties whose Hodge numbers are like that of a projective space, of a curve, or of a Calabi--Yau variety of low dimension.

26 pages; due to existing terminology, the notion "Hodge complexity" was replaced by "Hodge level", in particular, in the title

References in corpus (3)

• On linear sections of the spinor tenfold, I
• Hori--Vafa mirror models for complete intersections in weighted projective spaces and weak Landau--Ginzburg models
• Embedding derived categories of Enriques surfaces into derived categories of Fano varieties

Cited by in corpus (2)

• Automorphisms of weighted complete intersections
• The classification of smooth well-formed Fano weighted complete intersections