English

Multigraded Cayley-Chow forms

Algebraic Geometry 2017-08-14 v1

Abstract

We introduce a theory of multigraded Cayley-Chow forms associated to subvarieties of products of projective spaces. Two new phenomena arise: first, the construction turns out to require certain inequalities on the dimensions of projections; and second, in positive characteristic the multigraded Cayley-Chow forms can have higher multiplicities. The theory also provides a natural framework for understanding multifocal tensors in computer vision.

Keywords

Cite

@article{arxiv.1708.03335,
  title  = {Multigraded Cayley-Chow forms},
  author = {Brian Osserman and Matthew Trager},
  journal= {arXiv preprint arXiv:1708.03335},
  year   = {2017}
}

Comments

20 pages, 1 figure