Multigraded Cayley-Chow Forms

Brian Osserman (1) , Matthew Trager (2)

1 UC Davis - University of California [Davis]
2 WILLOW - Models of visual object recognition and scene understanding

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.

Domaines: Géométrie algébrique [math.AG]

Brian Osserman, Matthew Trager. Multigraded Cayley-Chow Forms. 2018. ⟨hal-01856190⟩