A note on adjoint linear systems

Author:
Seunghun Lee

Journal:
Proc. Amer. Math. Soc. **133** (2005), 1959-1964

MSC (2000):
Primary 14C20; Secondary 14E25

DOI:
https://doi.org/10.1090/S0002-9939-05-07868-8

Published electronically:
January 31, 2005

MathSciNet review:
2137861

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.**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)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC (2000):
14C20,
14E25

Retrieve articles in all journals with MSC (2000): 14C20, 14E25

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:
https://doi.org/10.1090/S0002-9939-05-07868-8

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.