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arXiv · 1307.6085

Additive Structures on Cubic Hypersurfaces

Ivan Bazhov
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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.

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Ivan Bazhov. 2013-07-23. Additive Structures on Cubic Hypersurfaces. https://arxiv.org/abs/1307.6085

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