Hodge level for weighted complete intersections
Algebraic Geometry
2020-08-13 v3
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.
Keywords
Cite
@article{arxiv.1801.10489,
title = {Hodge level for weighted complete intersections},
author = {Victor Przyjalkowski and Constantin Shramov},
journal= {arXiv preprint arXiv:1801.10489},
year = {2020}
}
Comments
26 pages; due to existing terminology, the notion "Hodge complexity" was replaced by "Hodge level", in particular, in the title