Restriction of stable rank two vector bundles
نویسنده
چکیده
Let X be a smooth variety deened over an algebraically closed eld of arbitrary characteristic and O X (H) be a very ample line bundle on X. We show that for a semistable X-bundle E of rank two, there exists an integer m depending only on (E):H dim(X)?2 and H dim(X) such that the restriction of E to a general divisor in jmHj is again semistable. As corollaries we obtain boundedness results, and weak versions of Bogomolov's theorem and Kodaira's vanishing theorem for surfaces in arbitrary characteristic.
منابع مشابه
Restriction of stable rank two vector bundles in arbitrary characteristic
Let X be a smooth variety de ned over an algebraically closed eld of arbitrary characteristic and OX H be a very ample line bundle on X We show that for a semistable X bundle E of rank two there exists an integer m depending only on E H X and H X such that the restric tion of E to a general divisor in jmH j is again semistable As corollaries we obtain boundedness results and weak versions of Bo...
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تاریخ انتشار 1999