arXiv Analytics

Sign in

arXiv:1001.3340 [math.AG]AbstractReferencesReviewsResources

Pluricanonical systems for 3-folds and 4-folds of general type

Lorenzo Di Biagio

Published 2010-01-19, updated 2011-09-28Version 2

We explicitly find lower bounds on the volume of threefolds and fourfolds of general type in order to have nonvanishing of pluricanonical systems and birationality of pluricanonical maps. In the case of threefolds of large volume, we also give necessary and sufficient conditions for the fourth canonical map to be birational.

Comments: 25 pages. Minor corrections and improved exposition. To appear in Mathematical Proceedings of the Cambridge Philosophical Society
Journal: Math. Proc. Camb. Phil. Soc. (2012), vol. 152, issue 01, pp. 9-34
Categories: math.AG
Subjects: 14E05, 14J30, 14J35
Related articles: Most relevant | Search more
arXiv:1206.2804 [math.AG] (Published 2012-06-13)
On 6-canonical map of irregular threefolds of general type
arXiv:math/0512617 [math.AG] (Published 2005-12-28)
The 5-canonical system on 3-folds of general type
arXiv:math/0110012 [math.AG] (Published 2001-10-01, updated 2003-09-16)
Inequalities of Noether type for 3-folds of general type

Links

Toolbox