代数三维簇的 Noether 不等式（附 János Kollár 的附录）
代数几何
2020-06-09 v4
摘要
我们建立了射影 -fold 的 Noether 不等式。更确切地说，我们证明不等式 对所有一般型的射影 -fold 成立，只要 或 ，其中 为几何亏格， 为典则体积。由于 M. Kobayashi 在 1992 年发现的已知例子，该不等式是最优的。
关键词
引用
@article{arxiv.1803.05553,
title = {The Noether inequality for algebraic threefolds (With an Appendix by J\'{a}nos Koll\'{a}r)},
author = {Jungkai A. Chen and Meng Chen and Chen Jiang},
journal= {arXiv preprint arXiv:1803.05553},
year = {2020}
}
备注
v1: 48 pages, comments are welcome; v2: defn. 2.4 corrected, minor changes made to the proofs of 5.9, 5.10; v3: 34 pages, original sect. 3 and appendix were replaced by an appendix by J\'{a}nos Koll\'{a}r, which simplified the proof and improved the main result; v4: 36 pages, final version to appear in Duke Math. J