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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.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Homology of schemes and covariant motives./
Author:	Voevodsky, Vladimir.
Description:	64 p.
Notes:	Source: Dissertation Abstracts International, Volume: 53-05, Section: B, page: 2354.
Contained By:	Dissertation Abstracts International53-05B.
Subject:	Mathematics. -
Online resource:	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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005 20060710080719.5
008 130610s1992 eng d
035 $a (UnM)AAI9228294
035 $a AAI9228294
040 $a UnM $c UnM
100 1 $a Voevodsky, Vladimir. $3 752503
245 1 0 $a Homology of schemes and covariant motives.
300 $a 64 p.
500 $a Source: Dissertation Abstracts International, Volume: 53-05, Section: B, page: 2354.
502 $a Thesis (Ph.D.)--Harvard University, 1992.
520 $a 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.
590 $a School code: 0084.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a Harvard University. $3 528741
773 0 $t Dissertation Abstracts International $g 53-05B.
790 $a 0084
791 $a Ph.D.
792 $a 1992
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9228294

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