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Vanishing theorems and syzygies for K3 surfaces and Fano varieties.

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Gallego Rodrigo, Francisco Javier and Purnaprajna, Bangere P. (2000) Vanishing theorems and syzygies for K3 surfaces and Fano varieties. Journal of Pure and Applied Algebra, 146 (3). pp. 251-265. ISSN 0022-4049

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022404998000978


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Abstract

In this article we prove results concerning the vanishing of Koszul cohomology groups on K3 surfaces and n-dimensional Fano varieties of index n - 2. As an application of these vanishings we obtain results on projective normality and syzygies for K3 surfaces and Fano varieties.


Item Type:Article
Uncontrolled Keywords:Vanishing theorems; Syzygies; K3 surface; Fano n-folds; Line bundle
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:15413
Deposited On:30 May 2012 08:46
Last Modified:22 Aug 2018 09:23

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