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Mathematical Instantons in Characteristic Two

Published online by Cambridge University Press:  04 December 2007

A. P. RAO
A. P. RAO
Affiliation:
Department of Mathematics, University of Missouri, St. Louis, St. Louis, MO 63121, U.S.A.; e-mail: [email protected]
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Abstract

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On P$^3$, we show that mathematical instantons in characteristic two are unobstructed. We produce upper bounds for the dimension of the moduli space of stable rank two bundles on P$^3$ in characteristic two. In cases where there is a phenomenon of good reduction modulo two, these give similar results in characteristic zero. We also give an example of a nonreduced component of the moduli space in characteristic two.

Keywords

Vector bundlesmathematical instantonsmoduli spaces.
Type
Research Article
Information
Compositio Mathematica , Volume 119 , Issue 2 , November 1999 , pp. 169 - 184
Copyright
© 1999 Kluwer Academic Publishers