Non-vanishing for Koszul cohomology of curves

• Autores: Marian Aprodu, J. Nagel
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 82, Nº 3, 2007, págs. 617-628
• Idioma: inglés
• DOI: 10.4171/cmh/104
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• Resumen

  • We study the relationship between rank p?+?2 Koszul classes and rank 2 vector bundles on a smooth curve. We show that every rank p?+?2 Koszul class is obtained from a rank 2 vector bundle and give an explicit nonvanishing theorem for Koszul classes arising in this way.