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Splitting criterion for reflexive sheaves
Author(s):
Takuro
Abe;
Masahiko
Yoshinaga
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1887-1891.
MSC (2000):
Primary 14J60
Posted:
February 11, 2008
MathSciNet review:
2383493
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Additional information
Abstract:
We give a criterion for a reflexive sheaf to split into a direct sum of line bundles.
References:
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- 1.
- R. Hartshorne, Ample subvarieties of algebraic varieties. Lecture Notes in Mathematics, 156, Springer-Verlag, Berlin, 1970. MR 0282977 (44:211)
- 2.
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- 3.
- R. Hartshorne, Stable reflexive sheaves. Math. Ann. 254 (1980), 121-176. MR 597077 (82b:14011)
- 4.
- H. Matsumura, Commutative Algebra. W. A. Benjamin Co., New York, 1970. MR 0266911 (42:1813)
- 5.
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- M. Yoshinaga, Characterization of a free arrangement and conjecture of Edelman and Reiner. Invent. Math. 157 (2004), no. 2, 449-454. MR 2077250 (2005d:52044)
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Additional Information:
Takuro
Abe
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060--0810, Japan
Email:
abetaku@math.sci.hokudai.ac.jp
Masahiko
Yoshinaga
Affiliation:
The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste 34014, Italy
Address at time of publication:
Department of Mathematics, Kobe University, Kobe 657-8501, Japan
Email:
myoshina@ictp.it, myoshina@math.kobe-u.ac.jp
DOI:
10.1090/S0002-9939-08-09367-2
PII:
S 0002-9939(08)09367-2
Keywords:
Splitting criterion,
reflexive sheaves,
hyperplane arrangement
Received by editor(s):
May 22, 2006
Posted:
February 11, 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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