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A characterization of varieties whose universal cover is a bounded symmetric domain without ball factors

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 نشر من قبل Di Scala Antonio J.
 تاريخ النشر 2013
  مجال البحث
والبحث باللغة English
 تأليف Fabrizio Catanese




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We give two characterizations of varieties whose universal cover is a bounded symmetric domain without ball factors in terms of the existence of a holomorphic endomorphism s of the tensor product Totimes T of the tangent bundle T with the cotangent bundle T. To such a curvature type tensor s one associates the first Mok characteristic cone S, obtained by projecting on T the intersection of ker (s) with the space of rank 1 tensors. The simpler characterization requires that the projective scheme associated to S be a finite union of projective varieties of given dimensions and codimensions in their linear spans which must be skew and generate.

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