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On genus change in algebraic curves over imperfect fields
Author(s):
Stefan
Schröer
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1239-1243.
MSC (2000):
Primary 14H20
Posted:
October 9, 2008
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Abstract:
We give a new proof, in scheme-theoretic language, of Tate's classical result on genus change of curves over imperfect fields in characteristic  . Namely, for normal geometrically integral curves, the difference between arithmetic and geometric genus over the algebraic closure is divisible by  .
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Additional Information:
Stefan
Schröer
Affiliation:
Mathematisches Institut, Heinrich-Heine-Universität, 40225 Düsseldorf, Germany
Email:
schroeer@math.uni-duesseldorf.de
DOI:
10.1090/S0002-9939-08-09712-8
PII:
S 0002-9939(08)09712-8
Received by editor(s):
April 11, 2007,
Received by editor(s) in revised form:
April 17, 2008
Posted:
October 9, 2008
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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