Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

   

 

Cohomological support loci of varieties of Albanese fiber dimension one


Authors: Zhi Jiang and Hao Sun
Journal: Trans. Amer. Math. Soc. 367 (2015), 103-119
MSC (2010): Primary 14E05
Published electronically: June 16, 2014
MathSciNet review: 3271255
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ X$ be a smooth projective variety of Albanese fiber dimension 1 and of general type. We prove that the translates through 0 of all components of $ V^0(\omega _X)$ generate $ \operatorname {Pic}^0(X)$. We then study the pluricanonical maps of $ X$. We show that $ \vert 4K_X\vert$ induces a birational map of $ X$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 14E05

Retrieve articles in all journals with MSC (2010): 14E05


Additional Information

Zhi Jiang
Affiliation: Mathématiques Bâtiment 425, Université Paris-Sud, F-91405 Orsay, France
Email: Zhi.Jiang@math.u-psud.fr

Hao Sun
Affiliation: Department of Mathematics, Huazhong Normal University, Wuhan 430079, People’s Republic of China
Address at time of publication: Department of Mathematics, Shanghai Normal University, Shanghai 200234, People’s Republic of China
Email: hsun@mail.ccnu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9947-2014-05997-7
Keywords: Irregular variety, pluricanonical map, $M$-regularity
Received by editor(s): April 13, 2012
Received by editor(s) in revised form: September 21, 2012
Published electronically: June 16, 2014
Additional Notes: The second author was partially supported by the Mathematical Tianyuan Foundation of China (No. 11126192).
Article copyright: © Copyright 2014 American Mathematical Society



Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia