Hirzebruch曲面F_1上某些三重折叠卷的Hilbert概形
代数几何
2012-09-26 v2
摘要
本文研究了Hirzebruch曲面F_1上低次数的适当光滑射影流形（即三重折叠卷）的Hilbert概形。证明了参数化此类簇的Hilbert概形的一个不可约分支是具有预期维数的通有光滑的，并描述了该分支的一般点。
引用
@article{arxiv.1110.5464,
title = {Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1},
author = {Gian Mario Besana and Maria Lucia Fania and Flaminio Flamini},
journal= {arXiv preprint arXiv:1110.5464},
year = {2012}
}
备注
23 pages; title changed, as suggested by the referee; elementary transformation approach contained in new Section 4, as suggested by the refeeree; to appear in Journal of the Mathematical Society of Japan