喷射概型的Nash爆破
代数几何
2020-01-29 v2
摘要
给定任意射影双有理态射的代数簇，我们提供了一种自然且显式的方法来构造其在喷射概型主分量上所诱导映射的相对紧化。当该态射为某个代数簇的Nash爆破时，此类相对紧化被证明由喷射概型主分量的Nash爆破给出。
引用
@article{arxiv.1712.00911,
title = {Nash blow-ups of jet schemes},
author = {Tommaso de Fernex and Roi Docampo},
journal= {arXiv preprint arXiv:1712.00911},
year = {2020}
}
备注
Lemma 2.4 was incorrect and has been removed, and the proof of Lemma 2.1 has been adjusted; to appear in Ann. Inst. Fourier