Fujita's conjecture and Frobenius amplitude

• Autores: Dennis S. Keeler
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 5, 2008, págs. 1327-1336
• Idioma: inglés
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• Resumen

  • 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.