Vanishing theorems on toric varieties
Mustaţă, Mircea
Tohoku Math. J. (2), Tome 54 (2002) no. 1, p. 451-470 / Harvested from Project Euclid
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We use Cox's description for sheaves on toric varieties and results about local cohomology with respect to monomial ideals to give a characteristic-free approach to vanishing results on toric varieties. As an application, we give a proof of a strong version of Fujita's Conjecture in the case of toric varieties. We also prove that every sheaf on a toric variety corresponds to a module over the homogeneous coordinate ring, generalizing Cox's result for the simplicial case.
Publié le : 2002-09-14
Classification:  Toric varieties,  homogeneous coordinate ring,  vanishing theorems,  Fujita's Conjecture,  14F17,  14M25 
@article{1113247605,
     author = {Musta\c t\u a, Mircea},
     title = {Vanishing theorems on toric varieties},
     journal = {Tohoku Math. J. (2)},
     volume = {54},
     number = {1},
     year = {2002},
     pages = { 451-470},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113247605}
}

Mustaţă, Mircea. Vanishing theorems on toric varieties. Tohoku Math. J. (2), Tome 54 (2002) no. 1, pp.  451-470. http://gdmltest.u-ga.fr/item/1113247605/