Fujita's Conjecture and Frobenius amplitude

Fujita's Conjecture and Frobenius amplitude

Amer. J. Math. 130 (2008), no. 5, 1327-1336, Erratum: Amer. J. Math. 141 (2019), no. 5, 1477-1478 We prove a version of Fujita's Conjecture in arbitrary characteristic, generalizing results of K.E. Smith. Our methods use the Frobenius morphism, but avoid tight closure theory. We also obtain ver...

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1. Verfasser: Keeler, Dennis S
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung:Amer. J. Math. 130 (2008), no. 5, 1327-1336, Erratum: Amer. J. Math. 141 (2019), no. 5, 1477-1478 We prove a version of Fujita's Conjecture in arbitrary characteristic, generalizing results of K.E. Smith. Our methods use the Frobenius morphism, but avoid tight closure theory. We also obtain versions of Fujita's Conjecture for coherent sheaves with certain ampleness properties.
DOI:10.48550/arxiv.math/0606406