广义Hasse-Schmidt簇及其喷流空间
Generalised Hasse-Schmidt varieties and their jet spaces
摘要：
本文通过引入“迭代Hasse环和方案”理论，为差分和（Hasse-）微分代数几何的研究提供了一个统一的形式。作为一个应用，哈塞喷流空间一般构造，允许发展的理论为任意系统的代数偏差分/微分方程，其中建设由早期作者只适用于有限维的情况。特别是，它表明，在适当的可分性假设下，哈塞品种是由它的喷流空间在一个点。
英文摘要：
This work provides a unified formalism for studying difference and (Hasse-) differential algebraic geometry, by introducing a theory of "iterative Hasse rings and schemes". As an application, Hasse jet spaces are constructed generally, allowing the development of the theory for arbitrary systems of algebraic partial difference/differential equations, where constructions by earlier authors applied only to the finite dimensional case. In particular, it is shown that under appropriate separability assumptions a Hasse variety is determined by its jet spaces at a point.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
