摘要翻译:
对于光滑映射f的一个芽和任一马瑟群G的一个子群G_V,其源或目标差同态在源或目标中保持V的一定体积,我们研究了f的G_v-模空间,该空间参数化了f的G-轨道内的G_v-轨道。例如,我们发现,对于保持体积的目标微分同态和A-稳定映射f的A-等价性,以及对于保持体积的源微分同态和K-简单映射f的K-等价性,该模空间消失。另一方面,对于与保体积源微分同态A-等价的无穷维模空间A-稳定映射f。
---
英文标题:
《Volume preserving subgroups of A and K and singularities in unimodular
geometry》
---
作者:
W. Domitrz and J. H. Rieger
---
最新提交年份:
2009
---
分类信息:
一级分类:Mathematics 数学
二级分类:Differential Geometry 微分几何
分类描述:Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
复形,接触,黎曼,伪黎曼和Finsler几何,相对论,规范理论,整体分析
--
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
---
英文摘要:
For a germ of a smooth map f and a subgroup G_V of any of the Mather groups G for which the source or target diffeomorphisms preserve some given volume form V in the source or in the target we study the G_V-moduli space of f that parameterizes the G_V-orbits inside the G-orbit of f. We find, for example, that this moduli space vanishes for A-equivalence with volume-preserving target diffeomorphisms and A-stable maps f and for K-equivalence with volume-preserving source diffeomorphisms and K-simple maps f. On the other hand, there are A-stable maps f with infinite-dimensional moduli space for A-equivalence with volume-preserving source diffeomorphisms.
---
PDF链接:
https://arxiv.org/pdf/0804.2596