Representable Chow classes of a product of projective spaces

Federico Castillo; Binglin Li; Naizhen Zhang

Representable Chow classes of a product of projective spaces

Algebraic Geometry 2020-05-20 v2 Combinatorics

Authors: Federico Castillo , Binglin Li , Naizhen Zhang

Abstract

Inside a product of projective spaces, we try to understand which Chow classes come from irreducible subvarieties. The answer is closely related to the theory of integer polymatroids. The support of a representable class can be (partially) characterized as some integer point inside a particular polymatroid. If the class is multiplicity-free, we obtain a complete characterization in terms of representable polymatroids. We also generalize some of the results to the case of products of Grassmannians.

Keywords

Chow classes product of projective spaces integer polymatroids representable class irreducible subvariety multiplicity-free Grassmannian product

Cite

@article{arxiv.1612.00154,
  title  = {Representable Chow classes of a product of projective spaces},
  author = {Federico Castillo and Binglin Li and Naizhen Zhang},
  journal= {arXiv preprint arXiv:1612.00154},
  year   = {2020}
}

Comments

This has been generalized and expanded in another paper that also includes additional coauthors, available at arXiv:2005.07808

Representable Chow classes of a product of projective spaces

Abstract

Keywords

Cite

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