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Projective plane bundles over an elliptic curve

  • Tomokuni Takahashi,
    National Institute of Technology, Ichinoseki College, Ichinoseki, 021-8511, Japan
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Abstract

We calculate the dimension of cohomology groups for the holomorphic tangent bundles of each isomorphism class of the projective plane bundle over an elliptic curve. As an application, we construct the families of projective plane bundles, and prove that the families are effectively parametrized and complete.
Keywords: projective plane bundle, vector bundle, elliptic curve, deformation, Kodaira-Spencer map projective plane bundle, vector bundle, elliptic curve, deformation, Kodaira-Spencer map
MSC Classifications: 14J10, 14J30, 14D15 show english descriptions Families, moduli, classification: algebraic theory
$3$-folds [See also 32Q25]
Formal methods; deformations [See also 13D10, 14B07, 32Gxx]
14J10 - Families, moduli, classification: algebraic theory
14J30 - $3$-folds [See also 32Q25]
14D15 - Formal methods; deformations [See also 13D10, 14B07, 32Gxx]
 

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