Hassett-Tschinkel correspondence: Modality and projective hypersurfacesстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:In 1999, B.Hassett and Yu.Tschinkel introduced a remarkable correspondence between generically transitive actions of the commutative unipotent algebraic group G_a^n and finite-dimensional local algebras. In this paper we develop Hassett-Tschinkel correspondence and calculate
modality of generically transitive G_a^n-actions on projective spaces, classify actions of modality one, and characterize generically transitive G_a^n-actions on projective hypersurfaces of given degree. In particular, actions on degenerate projective quadrics are studied.