Frobenius amplitude and strong vanishing theorems for vector bundles
نویسندگان
چکیده
منابع مشابه
Vanishing theorems for ample vector bundles
Since the seminal paper published by P.A. Griffiths in 1969 [7], a whole series of vanishing theorems have been established for the Dolbeault cohomology of ample vector bundles on smooth projective varieties, mainly due to the efforts of J. Le Potier, M. Schneider, A. Sommese, J-P. Demailly, L. Ein and R. Lazarsfeld, the author, and more recently W. Nahm [2, 5, 11, 15, 16, 18, 19, 21]. This abu...
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Let C be a smooth curve, and Mr(C) the coarse moduli space of vector bundles of rank r and trivial determinant on C. We discuss the generalized Verschiebung map Vr : Mr(C) 99K Mr(C) induced by pulling back under Frobenius. We begin with a survey of general background results on the Verschiebung, as well as certain more specialized work in fixed genus, characteristic, and rank. We then discuss t...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2004
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-04-12122-0