A pr 2 00 4 Bundles near a negative curve
نویسنده
چکیده
We study rank 2 bundles E on a two dimensional neighborhood of an irreducible curve C ≃ P1 with C2 = −k. Section 1 calculates bounds on the numerical invariants of E. Section 2 describes “balancing”, and proves the existence of families of bundles with prescribed numerical invariants. Section 3 studies rank 2 bundles on OP1(−k), giving an explicit construction of their moduli as stratified spaces.
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