Ample Vector Bundles on Curves
نویسندگان
چکیده
منابع مشابه
A Positivity Property of Ample Vector Bundles
Using Fujita-Griffiths method of computing metrics on Hodge bundles, we show that for every semi-ample vector bundle E on a compact complex manifold, and every positive integer k, the vector bundle SE ⊗ detE has a continuous metric with Griffiths semi-positive curvature. If E is ample, the metric can be made smooth and Griffiths positive.
متن کاملNote: Vector Bundles on Curves
The information above on email or mailbox is obsolete. Thanks to Ulrich Görtz for providing me with a copy of the original postscript file. Lectures by Gerd Faltings held in Bonn 1995 Notes by Michael Stoll Comments, remarks, questions etc. inserted by me are set in slanted. Contributions by other people are set in sans serif and marked by their initials: ck] Christian Kaiser Since these notes ...
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For all integers r ≥ 2 and any smooth and connected projective curve X, let ρX(r) denote the minimal integer d such that there is a morphism φ : X → P birational onto its image and such that deg(φ(X)) = d and φ(X) spans Pr. Fix integers d, g such that d ≥ 8 and d2/6 < g ≤ d2/4−d. Here we prove the existence of a smooth genus g curveX such that ρX(3) = d. Mathematics Subject Classification: 14H5...
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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 E be an ample vector bundle of rank r on a projective variety X with only log-terminal singularities. We consider the nefness of adjoint divisors KX + (t − r) detE when t ≥ dimX and t > r. As a corollary, we classify pairs (X, E) with cr-sectional genus zero. Introduction. Let X be a smooth projective variety and KX the canonical bundle of X . For the study of X , it is useful to consider a...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1971
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000014379