On Hodge numbers of complete intersections and Landau--Ginzburg models

Victor Przyjalkowski; Constantin Shramov

On Hodge numbers of complete intersections and Landau--Ginzburg models

Algebraic Geometry 2017-03-20 v5

Authors: Victor Przyjalkowski , Constantin Shramov

Abstract

We prove that the Hodge number $h^{1,N-1}(X)$ of an $N$ -dimensional ( $N\geqslant 3$ ) Fano complete intersection $X$ is less by one then the number of irreducible components of the central fiber of (any) Calabi--Yau compactification of Givental's Landau--Ginzburg model for $X$ .

Keywords

hodge numbers complete intersections fano varieties landau--ginzburg models calabi--yau compactification central fiber

Cite

@article{arxiv.1305.4377,
  title  = {On Hodge numbers of complete intersections and Landau--Ginzburg models},
  author = {Victor Przyjalkowski and Constantin Shramov},
  journal= {arXiv preprint arXiv:1305.4377},
  year   = {2017}
}

Comments

23 pages, some misprints are corrected and improvements are made, comments are welcome

Related papers

View all related →