2013/02/10 by Fabrizio Catanese, Catanese, Fabrizio, Antonio J. Di Scala +1
Mathematics · #Algebraic Geometry and Number Theory #Algebraic and Geometric Analysis #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1302.2350
We give two characterizations of varieties whose universal cover is a bounded\nsymmetric domain without ball factors in terms of the existence of a\nholomorphic endomorphism s of the tensor product T\⊗ T' of the tangent\nbundle T with the cotangent bundle T'. To such a curvature type tensor s one\nassociates the first Mok characteristic cone S, obtained by projecting on T the\nintersection of ker ( s) with the space of rank 1 tensors. The simpler\ncharacterization requires that the projective scheme associated to S be a\nfinite union of projective varieties of given dimensions and codimensions in\ntheir linear spans which must be skew and generate.\n