Volume: 15, Issue: 1(2004)
pp. 13-45 DOI: 10.1142/S0129167X0400220X
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Abstract |
Full Text (PDF, 422KB)
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References
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| Title: |
RATIONAL FAMILIES OF VECTOR BUNDLES ON CURVES |
| Author(s): |
ANA-MARIA CASTRAVET
University of Texas at Austin,
Mathematics Department, 1, University Station/C1200, Austin,
TX 78712, USA
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| History: |
Received 20 August 2003
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| Abstract: |
Let C be a smooth projective complex curve of genus g≥2 and let
M be the moduli space of rank 2, stable vector bundles on C,
with fixed determinant of degree 1. For any k≥1, we find all
the irreducible components of the space of rational curves on M, of
degree k. In particular, we find the maximal rationally connected
fibrations of these components. We prove that there is a one-to-one
correspondence between moduli spaces of rational curves on M and
moduli spaces of rank 2 vector bundles on ℙ1×C. |
| Keywords: |
Rational curves; free curves; rationally connected; rank 2 vector bundles
AMSC numbers:
14H60, 14J60, 14H10, 14D20, 14E
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