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环面簇的收缩像

代数几何 2023-09-26 v3

作者: Hiromu Tanaka

在 arXiv 上查看 ↗ PDF ↗

摘要

设 $f:X \to Y$ 为正规簇间的真态射，满足 $f_*\mathcal{O}_X = \mathcal{O}_Y$ 。若 $X$ 为环面簇，则 $Y$ 为环面簇，且对于 $X$ 与 $Y$ 上的某些环面结构， $f$ 为环面态射。

关键词

环面簇真态射环面态射正规簇

引用

@article{arxiv.2208.01454,
  title  = {Contraction images of toric varieties},
  author = {Hiromu Tanaka},
  journal= {arXiv preprint arXiv:2208.01454},
  year   = {2023}
}

备注

This preprint has been withdrawn by the author, because the main theorem is included another preprint by the author: arXiv:2208.09680