Weak Lefschetz theorems and the topology of zero loci of ample 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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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.
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2014
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2014.v22.n4.a1