Group schemes with strict o-action
WebGroup schemes with strict O-action MPS-Authors Faltings, Gerd Max Planck Institute for Mathematics, Max Planck Society; External Resource No external resources are shared. … WebDec 27, 2024 · 3. Let X be a K -scheme and L K be a Galois extension with Galois group G = G a l ( L, K). Let consider the base change X L := X ⊗ K L := X × S p e c ( K) S p e c ( L). Since X L is a L -scheme G can act on it. My problems are following: I see some ways G acting on X L and on it's structure sheaf but I'm not sure if they all coinside ...
Group schemes with strict o-action
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WebMar 31, 2024 · A finite group scheme G is a group scheme which is finite over S, which is not the same as being of finite type over S. It means that locally, e.g. for G = Spec ( A) and S = Spec ( k), the ring A is finitely generated as a k -module. If k is a field, it means that A is a finite dimensional vector space. WebDefinition. A group scheme is a group object in a category of schemes that has fiber products and some final object S.That is, it is an S-scheme G equipped with one of the …
WebAug 2, 2024 · As you suggest, if G is a group, then there is a constant group scheme G S associated to G over any base S. Explicitly, this group scheme is just a disjoint union of copies of S indexed by the elements of G, with the group operations defined using the group operations of G on the index set of the copies of S. WebJun 25, 2024 · I read a lot of books and find none of them give explicit descriptions of group action on schemes. I am very confused now and have lots of questions. So I think these …
WebFinite group schemes. a. Generalities. b. Locally free finite group schemes over a base ring. c. Cartier duality. d. Finite group schemes of order p. e. Derivations of Hopf algebras. f. Structure of the underlying … Web1. If Gis a topological group (i.e., a group whose underlying set has a topology such that both group operations are continuous) and Mis a topological space, we might ask that the group action is continuous, in which case the action is a continuous action. 2. If Gis a Lie group (i.e., a group with a smooth manifold structure such that
WebDec 27, 2024 · In general, the action of G on X will not induce an action of G on a particular O X -module. For example, if we take a sky scraper sheaf over some point with …
WebChapter III. Basic theory of group schemes. As we have seen in the previous chapter, group schemes come naturally into play in the study of abelian varieties. For example, if … monica herediaWebthese developments to o er new insights into the representation theory of nite groups. The most natural examples of in nitesimal group schemes arise as Frobenius kernels of a ne algebraic groups Gover k(i.e., a ne group schemes whose coor-dinate algebras are reduced). Recall that the Frobenius map F: G!G(1) of an a ne group scheme is … monica hibbs blogWebApr 13, 2024 · song 397 views, 51 likes, 35 loves, 46 comments, 6 shares, Facebook Watch Videos from Archdiocese of San Fernando Radio Station 91.9 Bright FM: WATCH LIVE: Kuwentuhang … monica hernandez mortgage loansmonica hernandez wmur pregnantWebJan 1, 2002 · Group Schemes with Strict O-action January 2002 Authors: Gerd Faltings Abstract Let O denote the ring of integers in a p-adic local field. Recall that O-modules … monica hetheringtonhttp://virtualmath1.stanford.edu/~conrad/mordellsem/Notes/L0405.pdf monica herrera philippines actressWebto construct a quotient scheme Y such that the two orbits {0} and A1 \{0} are mapped to different points of Y. (4.7) Remark. Let G be an S-group scheme acting on an S … monica hethcote