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DEURING'S MASS FORMULA OF A MUMFORD FAMILY.

Authors :
MAO SHENG
KANG ZUO
Source :
Transactions of the American Mathematical Society. Jan2016, Vol. 368 Issue 1, p169-207. 39p.
Publication Year :
2016

Abstract

We study the Newton polygon jumping locus of a Mumford family in char p. Our main result says that, under a mild assumption on p, the jumping locus consists of only supersingular points and its cardinality is equal to (pr - 1)(g - 1), where r is the degree of the defining field of the base curve of a Mumford family in char p and g is the genus of the curve. The underlying technique is the p-adic Hodge theory. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029947
Volume :
368
Issue :
1
Database :
Academic Search Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
110521107
Full Text :
https://doi.org/10.1090/s0002-9947-2015-06312-0