Hassett-Tschinkel correspondence and automorphisms of the quadric

2009/02/26 by Elena V. Sharoyko, Sharoyko, Elena V. · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Finite Group Theory Research #math.AC #math.AG #math.RT #msc:13H99 #msc:14N99 #msc:20C25

paper · pdf · doi:10.48550/arxiv.0902.4529

13 pages

arxiv created 2009/02/26 · arxiv updated 2009/12/01

Abstract

We study locally transitive actions of the commutative unipotent group \Gan on a nondegenerate quadric in the projective space ¶ⁿ⁺¹. It is shown that for each n such an action is unique up to isomorphism.

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• Calabi-Yau manifolds and generic Hodge groups
• Limit points of one-parameter subgroups for additive actions on hypersurfaces

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