A note on adjoint linear systems
Author:
Seunghun Lee
Journal:
Proc. Amer. Math. Soc. 133 (2005), 19591964
MSC (2000):
Primary 14C20; Secondary 14E25
Published electronically:
January 31, 2005
MathSciNet review:
2137861
Fulltext PDF Free Access
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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.
 1.
Lawrence
Ein, Multiplier ideals, vanishing theorems and applications,
Algebraic geometry—Santa Cruz 1995, Proc. Sympos. Pure Math.,
vol. 62, Amer. Math. Soc., Providence, RI, 1997,
pp. 203–219. MR 1492524
(98m:14006)
 2.
Lawrence
Ein and Robert
Lazarsfeld, Global generation of pluricanonical
and adjoint linear series on smooth projective threefolds, J. Amer. Math. Soc. 6 (1993), no. 4, 875–903. MR 1207013
(94c:14016), http://dx.doi.org/10.1090/S08940347199312070135
 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. 4245.
 4.
Seunghun
Lee, On Maşek’s criterion on very ampleness,
Comm. Algebra 30 (2002), no. 9, 4383–4399. MR 1936478
(2003m:14009), http://dx.doi.org/10.1081/AGB120013326
 5.
Seunghun
Lee, Linear systems on Fano threefolds. I, Comm. Algebra
32 (2004), no. 7, 2711–2721. MR 2099929
(2005h:14101), http://dx.doi.org/10.1081/AGB120037411
 6.
Igor
Reider, Vector bundles of rank 2 and linear systems on algebraic
surfaces, Ann. of Math. (2) 127 (1988), no. 2,
309–316. MR
932299 (89e:14038), http://dx.doi.org/10.2307/2007055
 1.
 L. Ein, Multiplier ideals, Vanishing theorem and Applications Proc. Sympos. Pure. Math. Part1. 62, Amer. Math. Soc., Providence, RI, (1997) pp. 203219. 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. 875903. 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. 4245.
 4.
 S. Lee, On Masek's criterion on very ampleness Comm. Algebra 30 (2002), pp. 43834399. MR 1936478 (2003m:14009)
 5.
 S. Lee, Linear system on Fano threefold I Comm. Algebra 32 (2004), pp. 27112721. MR 2099929
 6.
 I. Reider, Vector bundles of rank 2 and linear systems on algebraic surfaces Ann. of Math. 127 (1988), pp. 309316.MR 0932299 (89e:14038)
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Additional Information
Seunghun Lee
Affiliation:
Department of Mathematics, Konkuk University (143701), KwangjinGu Hwayangdong 1, Seoul, Korea
Email:
mbrs@kkucc.konkuk.ac.kr
DOI:
http://dx.doi.org/10.1090/S0002993905078688
PII:
S 00029939(05)078688
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 2002007010010(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.
