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Homology of schemes and covariant mo...
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Voevodsky, Vladimir.
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Homology of schemes and covariant motives.
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書目-電子資源 : Monograph/item
正題名/作者:
Homology of schemes and covariant motives./
作者:
Voevodsky, Vladimir.
面頁冊數:
64 p.
附註:
Source: Dissertation Abstracts International, Volume: 53-05, Section: B, page: 2354.
Contained By:
Dissertation Abstracts International53-05B.
標題:
Mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9228294
Homology of schemes and covariant motives.
Voevodsky, Vladimir.
Homology of schemes and covariant motives.
- 64 p.
Source: Dissertation Abstracts International, Volume: 53-05, Section: B, page: 2354.
Thesis (Ph.D.)--Harvard University, 1992.
In the present paper I will suggest a construction which assigns to the scheme S a tensor triangle category DM(S) and a covariant functor M from the category of schemes over S to DM(S), which satisfies the usual properties of homology theories. I hope that it gives us an appropriate theory of covariant mixed motives (except, that I have no idea how to prove the existence of the t-structure in DM(S)). This construction was inspired by topological analogs. The "homology theory of schemes" we obtain this way is related to the would-be homotopy theory of schemes in the same way as usual singular homologies of topological spaces are related to classical homotopy theory.Subjects--Topical Terms:
515831
Mathematics.
Homology of schemes and covariant motives.
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In the present paper I will suggest a construction which assigns to the scheme S a tensor triangle category DM(S) and a covariant functor M from the category of schemes over S to DM(S), which satisfies the usual properties of homology theories. I hope that it gives us an appropriate theory of covariant mixed motives (except, that I have no idea how to prove the existence of the t-structure in DM(S)). This construction was inspired by topological analogs. The "homology theory of schemes" we obtain this way is related to the would-be homotopy theory of schemes in the same way as usual singular homologies of topological spaces are related to classical homotopy theory.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9228294
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