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Newton-Hodge filtration for self-dual F-crystals

✍ Scribed by N. E. Csima


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
151 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

In this paper we study F‐crystals with self‐dual structure over base schemes of characteristic p. We generalize Katz's Newton‐Hodge Filtration Theorem to F‐crystals with self‐dual structure. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim


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Permutability property for self-dual Yan
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A permutability property for Bgcklund transformations of the self-dual SU(2) Yang-Mills fields is shown to exist. We give a superposition-type formula, whose iteration permits the simple algebraic construction of solutions of the self-dual Yang-Mills equations.