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A note on adjoint linear systems
Author(s):
Seunghun
Lee
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1959-1964.
MSC (2000):
Primary 14C20;
Secondary 14E25
Posted:
January 31, 2005
MathSciNet review:
2137861
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Abstract:
In this note, we give a weak estimate on the separation of tangent directions of the conjecture of Fujita for adjoint linear systems on smooth varieties.
References:
-
- 1.
- L. Ein, Multiplier ideals, Vanishing theorem and Applications Proc. Sympos. Pure. Math. Part1. 62, Amer. Math. Soc., Providence, RI, (1997) pp. 203-219. MR 1492524 (98m:14006)
- 2.
- L. Ein and R. Lazarsfeld, Global generation of pluricanonical and adjoint linear series on smooth projective threefold J. Amer. Math. Soc., 6 (1993), pp. 875-903. MR 1207013 (94c:14016)
- 3.
- T. Fujita, Birational geometry of algebraic varieties: Open problem The 23rd International Symposium of the Division of Mathematics of the Taniguchi Foundation, Katata, (1988), pp. 42-45.
- 4.
- S. Lee, On Masek's criterion on very ampleness Comm. Algebra 30 (2002), pp. 4383-4399. MR 1936478 (2003m:14009)
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- S. Lee, Linear system on Fano threefold I Comm. Algebra 32 (2004), pp. 2711-2721. MR 2099929
- 6.
- I. Reider, Vector bundles of rank 2 and linear systems on algebraic surfaces Ann. of Math. 127 (1988), pp. 309-316.MR 0932299 (89e:14038)
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Additional Information:
Seunghun
Lee
Affiliation:
Department of Mathematics, Konkuk University (143-701), Kwangjin-Gu Hwayang-dong 1, Seoul, Korea
Email:
mbrs@kkucc.konkuk.ac.kr
DOI:
10.1090/S0002-9939-05-07868-8
PII:
S 0002-9939(05)07868-8
Received by editor(s):
February 15, 2003
Received by editor(s) in revised form:
April 4, 2004
Posted:
January 31, 2005
Additional Notes:
The author was supported in part by KOSEF Grant \#R14 -2002-007-01001-0(2002).
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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