有限群情形的差分零点定理
交换代数
2010-10-22 v2
摘要
我们为具有给定自同构群的差分方程发展了几何理论。为了解决这个问题，我们将差分域类扩展到称为伪域的绝对平坦简单差分环类。我们证明了伪域上的零点定理，并研究了伪簇的几何性质。
引用
@article{arxiv.0908.3863,
title = {Difference Nullstellensatz in the case of finite group},
author = {Dima Trushin},
journal= {arXiv preprint arXiv:0908.3863},
year = {2010}
}
备注
43 pages. In Proposition 25 (Statement 25), condition (3) was added. Propositions 26, 34 were added. For Proposition 31 (Statement 29), a second proof was added. Sections 4.6-4.10 were added. For Proposition 42 (Statement 37), a complete proof was added. Propositions 44, 46 (Statement 39, 40) were generalized. Additionally, some typos were corrected. The abstract was slightly modified