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A note on adjoint linear systems

Author: Seunghun Lee
Journal: Proc. Amer. Math. Soc. 133 (2005), 1959-1964
MSC (2000): Primary 14C20; Secondary 14E25
Published electronically: 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 [Enhancements On Off] (What's this?)

  • 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)
  • 5. 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

Received by editor(s): February 15, 2003
Received by editor(s) in revised form: April 4, 2004
Published electronically: January 31, 2005
Additional Notes: The author was supported in part by KOSEF Grant #R14 -2002-007-01001-0(2002).
Communicated by: Michael Stillman
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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