Nef line bundles on flag bundles on a curve over F-p

作者:Biswas Indranil*; Mehrotra Sukhendu; Parameswaran A J
来源:Archiv der Mathematik, 2013, 101(2): 105-110.
DOI:10.1007/s00013-013-0541-0

摘要

Let E be a vector bundle of rank r over an irreducible smooth projective curve X defined over the field . For fixed integers with , let be the corresponding flag bundle over X associated to E. Let be a line bundle such that for every pair of the form , where C is an irreducible smooth projective curve defined over and is a nonconstant morphism, the inequality holds. We prove that the line bundle is ample.

  • 出版日期2013-8

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