Ample filters of invertible sheaves

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Ample Filters of Invertible Sheaves

Let X be a scheme, proper over a commutative noetherian ring A. We introduce the concept of an ample filter of invertible sheaves on X and generalize the most important equivalent criteria for ampleness of an invertible sheaf. We also prove the Theorem of the Base for X and generalize Serre’s Vanishing Theorem. We then generalize results for twisted homogeneous coordinate rings which were previ...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2003

ISSN: 0021-8693

DOI: 10.1016/s0021-8693(02)00557-4