Self-dual projective algebraic varieties associated with symmetric spaces

dc.creatorPopov, Vladimir L.
dc.creatorTevelev, Evgueni A.
dc.date2004-09-23
dc.date.accessioned2026-07-07T05:12:30Z
dc.date.available2026-07-07T05:12:30Z
dc.descriptionWe discover a class of projective self-dual algebraic varieties. Namely, we consider actions of isotropy groups of complex symmetric spaces on the projectivized nilpotent varieties of isotropy modules. For them, we classify all orbit closures $X$ such that $X=\check X$ where $\check X$ is the projective dual of $X$. We give algebraic criteria of projective self-duality for the considered orbit closures.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0409444
dc.identifierhttp://arxiv.org/abs/math/0409444
dc.identifierAlgebraic Transformation Groups and Algebraic Varieties, Enc. Math. Sci., Vol. 132, Subseries Invariant Theory and Algebraic Transformation Groups, Vol. III, Springer Verlag, 2004, pp. 131-167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72596
dc.subjectAnalysis of PDEs
dc.subjectAlgebraic Geometry
dc.subject14L; 14M17; 17B70
dc.titleSelf-dual projective algebraic varieties associated with symmetric spaces
dc.typetext

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