English

On Hodge level of weighted complete intersections of general type

Algebraic Geometry 2024-10-01 v2

Abstract

We show that smooth varieties of general type which are well formed weighted complete intersections of Cartier divisors have maximal Hodge level, that is, their the rightmost middle Hodge numbers do not vanish. We show that this does not hold in the quasi-smooth case.

Keywords

Cite

@article{arxiv.2103.07106,
  title  = {On Hodge level of weighted complete intersections of general type},
  author = {Victor Przyjalkowski},
  journal= {arXiv preprint arXiv:2103.07106},
  year   = {2024}
}

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14 pages