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Stable reduction of X0(p4).

Authors :
Takahiro Tsushima
Source :
Journal für die Reine und Angewandte Mathematik. Oct2015, Vol. 2015 Issue 707, p1-43. 43p.
Publication Year :
2015

Abstract

R. Coleman and K. McMurdy calculated the stable reduction of X0(p3) (p ≥ 13) on the basis of the rigid geometry in [8]. In the present paper, we determine the stable reduction of X0(p4) for primes p ≥ 13 on the basis of their idea. As irreducible components in the stable reduction of X0(p4), a certain number of copies of the Hermitian curve, with an affine equation ap - a = tp+1, appear. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00754102
Volume :
2015
Issue :
707
Database :
Academic Search Index
Journal :
Journal für die Reine und Angewandte Mathematik
Publication Type :
Academic Journal
Accession number :
110140860
Full Text :
https://doi.org/10.1515/crelle-2013-0081