In this article, we consider finite G-equivariant morphisms F:X→Y of irreducible affine G-varieties. First we determine under which conditions on Y the induced map F G:X//G→Y//G of quotient varieties is also finite. This result is reformulated in terms of kernels of derivations on k...
Let \alpha :H\rightarrow {\mathbb {Z}} be an epimorphism and N=\ker \alpha . Then, the ring {{\,\mathrm{{\mathcal {D}}}\,}}_{K[N]}H generated by {{\,\mathrm{{\mathcal {D}}}\,}}_{K[N]} and H is isomorphic to a crossed product {{\,\mathrm{{\mathcal {D}}}...
a dominant finite morphism (between F-finite and noetherian schemes). How does the F-regularity of (M,C) pull-back along f? Following [6], we see that a precise, natural way to formulate this question is: How does the F-regularity of (M,C) and ⁎(f!M,f⁎C) compare to each...
(It is not an abelian category, since morphisms may not be strictly compatible with the filtration.) Theorem 1.1.2 (Colmez–Fontaine) If K is a finite extension of \mathbf {Q}_p, the subcategory of “weakly admissible” filtered (\varphi , N, G_K)-modules is equivalent to the ...
08 Yuki Kanabuko - Inequalities defining polyhedral realizations of affine types an 43:37 Rinat Kedem - Quantum relativistic Toda Hamiltonians associated with a family of 39:07 Marcus Khuri - Spacetime harmonic functions and applications 46:22 Sven Hirsch - Stability of Llarull’s theorem in all...
Moreover, the orbit of e under L (or R) consists of the evaluation morphisms at all points of G. Therefore both [Math Processing Error] and [Math Processing Error] separate points in [Math Processing Error], so that [Math Processing Error] by the Urysohn lemma. A version of [17, ...
9 files Mathlib.Algebra.Category.Ring.Epi Mathlib.AlgebraicGeometry.AffineSpace Mathlib.AlgebraicGeometry.Fiber Mathlib.AlgebraicGeometry.Morphisms.Finite Mathlib.AlgebraicGeometry.Morphisms.Proper Mathlib.AlgebraicGeometry.ValuativeCriterion Mathlib.FieldTheory.LinearDisjoint Mathlib.RingTheory.LinearDisjoint ...
The method is based o... Gorelik,Maria - 《Journal of Nonlinear Mathematical Physics》 被引量: 29发表: 2004年 A non-squeezing theorem for convex symplectic images of the Hilbert ball We prove that the non-squeezing theorem of Gromov holds for symplectomorphisms on an infinite-dimensional ...
[27]B. B. Venkov, Characteristic classes for finite groups (in Russian), Dokl. Akad. Nauk. SSSR 137 (1961), 1274–1277.Search in Google Scholar [28]W. C. Waterhouse, Introduction to Affine Group Schemes, Grad. Texts in Math. 66, Springer, New York, 1979.10.1007/978-1-4612-6217-...
This leads to set and develop basic notions on ringed finite spaces and morphisms, as being affine, schematic, semi-separated, etc, focusing on its cohomological properties. Finally, we see how to embed the category of quasi-compact and quasi-separated schemes in a localization of the ...