Cohomology of vector bundles from a double cover of the projective plane
Huang, I-Chiau
Osaka J. Math., Tome 43 (2006) no. 2, p. 557-579 / Harvested from Project Euclid
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The paper deals with locally free sheaves $\mathcal{F}_{p,q}$ on $\mathbb{P}^{2}$ obtained from a morphism $\mathbb{P}^{1}\times\mathbb{P}^{1}\to\mathbb{P}^{2}$. Bases of $\mathrm{H}^{i}(\mathbb{P}^{2},\mathcal{F}_{p,q})$ are explicitly given in terms of elements of certain local cohomology modules, which built up canonically a complex for computing cohomology modules of locally free sheaves on $\mathbb{P}^{2}$.
Publié le : 2006-09-14
Classification:  14F05,  14J60,  13D45 
@article{1159190001,
     author = {Huang, I-Chiau},
     title = {Cohomology of vector bundles from a double cover of the projective plane},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 557-579},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1159190001}
}

Huang, I-Chiau. Cohomology of vector bundles from a double cover of the projective plane. Osaka J. Math., Tome 43 (2006) no. 2, pp.  557-579. http://gdmltest.u-ga.fr/item/1159190001/