Additive Structures on Cubic Hypersurfaces
Algebraic Geometry
2013-07-24 v1
Abstract
By an additive structure on a hypersurface S in projective space we mean an effective action of commutative unipotent group on projective space which leaves S invariant and acts on S with an open orbit. It is known that these structures correspond to pairs (R,H) of local finite-dimensional algebra R and a hyperplane H in the maximal ideal of R. We show when a projective hypersurface of degree 3 has an additive structure and when structure is unique.
Cite
@article{arxiv.1307.6085,
title = {Additive Structures on Cubic Hypersurfaces},
author = {Ivan Bazhov},
journal= {arXiv preprint arXiv:1307.6085},
year = {2013}
}
Comments
8 pages