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On the Connectedness of the Real Part of Moduli Spaces of Vector Bundles on Real Algebraic Surfaces

Part of: Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  09 April 2009

Edoardo Ballico
Edoardo Ballico
Affiliation:
Department of Mathematics University of Trento38050 Povo (TN)Italy e-mail: ballico@science.unitn.it
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Abstract

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Let X be a smooth projective surface with q(X) = 0 defined over R and M(X;r;c1;c2;H) the moduli space of H-stable rank r vector bundles on X with Chern classes c1 and c2. Assume either r = 3 and X(R) connected or r = 3 and X(R) =ø or r=2 and X(R) = ø. We prove that quite often M is connected.

MSC classification

Secondary: 14P99: None of the above, but in this section 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 68 , Issue 1 , February 2000 , pp. 41 - 54
Copyright
Copyright © Australian Mathematical Society 2000

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