English

The continuous rank function for varieties of maximal Albanese dimension and its applications

Algebraic Geometry 2022-08-09 v1

Abstract

In this note, I review an aspect of some new techniques introduced recently in collaboration with Miguel \'Angel Barja and Rita Pardini: the construction of the continuous rank function. I give a sketch of how to use this function to prove the Barja-Clifford-Pardini-Severi inequalities for varieties of maximal Albanese dimension and to obtain the classification of varieties satisfying the equalities.

Keywords

Cite

@article{arxiv.2102.04147,
  title  = {The continuous rank function for varieties of maximal Albanese dimension and its applications},
  author = {Lidia Stoppino},
  journal= {arXiv preprint arXiv:2102.04147},
  year   = {2022}
}