Moduli spaces of sheaves in mixed characteristic
Adrian Langer
Source: Duke Math. J. Volume 124, Number 3
(2004), 571-586.
Abstract
We prove a precise bound on the number of sections of a pure sheaf on a projective scheme. Our result strengthens the Le Potier-Simpson estimate and generalizes it to schemes defined over a field of any characteristic. This is used to construct the moduli space of semistable sheaves in mixed characteristic via Simpson's method.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1093984108
Digital Object Identifier: doi:10.1215/S0012-7094-04-12434-0
Mathematical Reviews number (MathSciNet): MR2085175
Zentralblatt MATH identifier: 02113314
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