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發(fā)表于 2025-3-21 18:52:38 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Grothendieck Duality and Base Change
編輯Brian Conrad
視頻videohttp://file.papertrans.cn/389/388809/388809.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: ;
出版日期Book 2000
版次1
doihttps://doi.org/10.1007/b75857
isbn_softcover978-3-540-41134-5
isbn_ebook978-3-540-40015-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
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沙發(fā)
發(fā)表于 2025-3-21 21:43:54 | 只看該作者
Duality Foundations,aulay case without projectiveness assumptions (although some proofs ultimately reduce via Chow’s Lemma to the analysis of projective space and finite maps, as treated in Chapter 2). The special role of CM maps are that these are exactly the morphisms for which one can define a relative dualizing . (
板凳
發(fā)表于 2025-3-22 00:24:09 | 只看該作者
Proof of Main Theorem, dimension .. We want to prove Theorem 3.6.5, which asserts that the diagram . commutes; of course this is unaffected by multiplying γ. and γ. by (?).. By the last part of Theorem 3.6.1, if . factorizes into a composite . = . . . . . of maps between noetherian schemes admitting a dualizing complex,
地板
發(fā)表于 2025-3-22 08:22:03 | 只看該作者
5#
發(fā)表于 2025-3-22 11:45:13 | 只看該作者
Pasture Landscapes and Nature Conservationa smooth (resp. finite) map f : X → Y between locally noetherian schemes. A ‘projective trace’ map Trpf is defined in case X=P. . and f is the canonical projection, and a ‘fundamental local isomorphism’ . is defined in case . is a closed immersion which is a local complete intersection morphism of p
6#
發(fā)表于 2025-3-22 13:55:49 | 只看該作者
aulay case without projectiveness assumptions (although some proofs ultimately reduce via Chow’s Lemma to the analysis of projective space and finite maps, as treated in Chapter 2). The special role of CM maps are that these are exactly the morphisms for which one can define a relative dualizing . (
7#
發(fā)表于 2025-3-22 19:35:40 | 只看該作者
8#
發(fā)表于 2025-3-22 23:32:23 | 只看該作者
9#
發(fā)表于 2025-3-23 02:11:21 | 只看該作者
10#
發(fā)表于 2025-3-23 07:26:37 | 只看該作者
https://doi.org/10.1007/978-94-017-6056-0Let . : . → . be a proper, surjective, smooth map of schemes, with all fibers equidimensional with dimension ., and let ω. = Ω.. Grotherndieck’s duality theory [RD, VII, 4.1] produces a trace map . which is an isomorphism when . has geometrically connected fibers. When . = 0, this is just the usual trace map ..
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