环面三维流形中超曲面的皮卡群
代数几何
2013-05-29 v3
摘要
我们证明，光滑射影簇中一般超曲面具有与周围簇相同皮卡数的通常充分判据，可以推广到完全单纯环面簇中的超曲面。这一充分条件总是被嵌入法诺环面三维流形中的一般K3曲面所满足。
引用
@article{arxiv.1011.1003,
title = {Picard group of hypersurfaces in toric 3-folds},
author = {Ugo Bruzzo and Antonella Grassi},
journal= {arXiv preprint arXiv:1011.1003},
year = {2013}
}
备注
14 pages. v2: some typos corrected. v3: Slightly changed title. Final version to appear in Int. J. Math., incorporates many (mainly expository) changes suggested by the referee