Pluricanonical systems for 3-folds and 4-folds of general type-Reference-Cited by-同舟云学术

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

Published:2011-10-19 Issue:1 Volume:152 Page:9-34
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

DI BIAGIO LORENZO

Abstract

AbstractWe explicitly find lower bounds on the volume of threefolds and fourfolds of general type in order to have non-vanishing 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference21 articles.

1. The classification of surfaces of general type with nonbirational bicanonical map

2. Explicit birational geometry of 3-folds of general type, II

3. [19] McKernan J. Boundedness of log terminal Fano pairs of bounded index. arXiv:math/0205214v1, (2002). Available at http://arxiv.org/abs/math/0205214.

4. Asymptotic invariants of base loci

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A snapshot of the Minimal Model Program;Proceedings of Symposia in Pure Mathematics;2017

2. A reduction of canonical stability index of 4 and 5 dimensional projective varieties with large volume;Annales de l’institut Fourier;2017

3. The third and fourth pluricanonical maps of threefolds of general type;Mathematical Proceedings of the Cambridge Philosophical Society;2014-06-19

4. Adjoint pluricanonical systems on varieties of general type;advg;2013-07

5. A survey of some recent results concerning polyhedral products;Configuration Spaces;2012