Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format 		Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

On tensor products of $k$-very ample line bundles

Author(s): Yukitoshi Hinohara; Kazuyoshi Takahashi; Hiroyuki Terakawa
Journal: Proc. Amer. Math. Soc. 133 (2005), 687-692.
MSC (2000): Primary 14E25, 14C20; Secondary 13E10
Posted: September 20, 2004
MathSciNet review: 2113916
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: In this paper, we show that the tensor product of $a$-very ample and $b$-very ample line bundles on a complete algebraic variety is $(a+b)$-very ample.

References:

1.
E. Ballico and M. C. Beltrametti, On $2$-spannedness for the adjunction mapping, Manuscripta Math. 61 (1988), 447-458. MR 0952089 (89i:14003)

2.
M. C. Beltrametti, P. Francia and A. J. Sommese, On Reider's method and higher order embeddings, Duke Math. J. 58 (1989), 425-439. MR 1016428 (90h:14021)

3.
M. C. Beltrametti and A. J. Sommese, On $k$-spannedness for projective surfaces, Algebraic Geometry, Proc. L'Aquila 1988, Lecture Notes in Math. 1417, Springer-Verlag, 1990, pp.24-51. MR 1040549 (91g:14029)

4.
M. C. Beltrametti and A. J. Sommese, (with an appendix by L. Göttsche), Zero cycles and $k$-th order embeddings of smooth projective surfaces, Proc. Projective Surfaces and their Classification, Cortona 1988, Sympos. Math. 32, INDAM, Academic Press, 1992, pp.33-48. MR 1273371 (95d:14005)

5.
M. C. Beltrametti and A. J. Sommese, On $k$-jet ampleness, Complex Analysis and Geometry, Plenum Press, 1993, pp.355-376. MR 1211891 (94g:14006)

6.
M. C. Beltrametti and A. J. Sommese, On the preservation of $k$-very ampleness under adjunction, Math. Z. 212 (1993), 257-283. MR 1202811 (94a:14002)

7.
W. Bruns and J. Herzog, Cohen-Macaulay Rings, Cambridge Stud. Adv. Math. 39, Cambridge Univ. Press, 1993. MR 1251956 (95h:13020)

8.
I. Kaplansky, Commutative Rings, Revised Edition, The Univ. of Chicago Press, 1974. MR 0345945 (49:10674)

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 14E25, 14C20, 13E10

Retrieve articles in all Journals with MSC (2000): 14E25, 14C20, 13E10

Additional Information:

Yukitoshi Hinohara
Affiliation: Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan
Address at time of publication: 389-3, Higashi-Koiso, Oiso-Mati, Naka-Gun Kanagawa, 255-0004, Japan
Email: hinohara@waseda.jp

Kazuyoshi Takahashi
Affiliation: Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan
Address at time of publication: School of Social Sciences, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan
Email: ktaka@asagi.waseda.jp

Hiroyuki Terakawa
Affiliation: Tsuru University, 3-8-1 Tahara Tsuru-shi, Yamanashi 402-8555, Japan
Email: terakawa@tsuru.ac.jp

DOI: 10.1090/S0002-9939-04-07648-8
PII: S 0002-9939(04)07648-8
Keywords: $k$-very ampleness, tensor product, $0$-dimensional scheme, socle
Received by editor(s): December 21, 2000
Received by editor(s) in revised form: November 9, 2003
Posted: September 20, 2004
Communicated by: Michael Stillman
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia