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Jet schemes of the commuting matrix pairs scheme
Author(s):
B.
A.
Sethuraman;
Klemen
Sivic
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3953-3967.
MSC (2000):
Primary 14M99
Posted:
July 30, 2009
MathSciNet review:
2538555
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Additional information
Abstract:
We show that for all  there exists an integer  such that for all  the  -th order jet scheme over the commuting  matrix pairs scheme is reducible. At the other end of the spectrum, it is known that for all  the  -th order jet scheme over the commuting  matrices is irreducible; we show that the same holds for  .
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Additional Information:
B.
A.
Sethuraman
Affiliation:
Department of Mathematics, California State University, Northridge, Northridge, California 91330
Email:
al.sethuraman@csun.edu
Klemen
Sivic
Affiliation:
Institute of Mathematics, Physics, and Mechanics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia
Email:
klemen.sivic@fmf.uni-lj.si
DOI:
10.1090/S0002-9939-09-10029-1
PII:
S 0002-9939(09)10029-1
Received by editor(s):
November 4, 2008,
Received by editor(s) in revised form:
February 19, 2009
Posted:
July 30, 2009
Additional Notes:
The first author was supported by the National Science Foundation grant DMS-0700904.
The second author was supported by the Slovenian Research Agency.
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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