Geodesic
Projective Plane Bundles Over an Elliptic Curve
Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 201-210

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DOI

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.
DOI : 10.4153/CMB-2017-025-8
Mots-clés : 14J10, 14J30, 14D15, projective plane bundle, vector bundle, elliptic curve, deformation, Kodaira-Spencer map 
Takahashi, Tomokuni. Projective Plane Bundles Over an Elliptic Curve. Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 201-210. doi: 10.4153/CMB-2017-025-8
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     title = {Projective {Plane} {Bundles} {Over} an {Elliptic} {Curve}},
     journal = {Canadian mathematical bulletin},
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     year = {2018},
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     doi = {10.4153/CMB-2017-025-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-025-8/}
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