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

Full-text PDF Free Access

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.**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****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**, 10.1090/S0894-0347-1993-1207013-5**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.**Seunghun Lee,*On Maşek’s criterion on very ampleness*, Comm. Algebra**30**(2002), no. 9, 4383–4399. MR**1936478**, 10.1081/AGB-120013326**5.**Seunghun Lee,*Linear systems on Fano threefolds. I*, Comm. Algebra**32**(2004), no. 7, 2711–2721. MR**2099929**, 10.1081/AGB-120037411**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**, 10.2307/2007055

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:
http://dx.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.