Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143 / / Andrei Suslin, Vladimir Voevodsky, Eric M. Friedlander.
The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to cont...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2011] ©2000 |
| Year of Publication: | 2011 |
| Edition: | Core Textbook |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
143 |
| Online Access: | |
| Physical Description: | 1 online resource (256 p.) |
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| LEADER | 08372nam a22020415i 4500 | ||
|---|---|---|---|
| 001 | 9781400837120 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20112000nju fo d z eng d | ||
| 019 | |a (OCoLC)1054881212 | ||
| 020 | |a 9781400837120 | ||
| 024 | 7 | |a 10.1515/9781400837120 |2 doi | |
| 035 | |a (DE-B1597)447687 | ||
| 035 | |a (OCoLC)979582210 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
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| 050 | 4 | |a QA564 | |
| 072 | 7 | |a MAT012010 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.35 |
| 100 | 1 | |a Voevodsky, Vladimir, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143 / |c Andrei Suslin, Vladimir Voevodsky, Eric M. Friedlander. |
| 250 | |a Core Textbook | ||
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2011] | |
| 264 | 4 | |c ©2000 | |
| 300 | |a 1 online resource (256 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 143 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t 1. Introduction -- |t 2. Relative Cycles and Chow Sheaves -- |t 3. Cohomological Theory of Presheaves with Transfers -- |t 4. Bivariant Cycle Cohomology -- |t 5. Triangulated Categories of Motives Over a Field -- |t 6. Higher Chow Groups and Etale Cohomology |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to contribute to our understanding of various properties of algebraic cycles. The material presented provides the foundations for the recent proof of the celebrated "Milnor Conjecture" by Vladimir Voevodsky. The theory of sheaves of relative cycles is developed in the first paper of this volume. The theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme of the second paper. The Friedlander-Lawson moving lemma for families of algebraic cycles appears in the third paper in which a bivariant theory called bivariant cycle cohomology is constructed. The fifth and last paper in the volume gives a proof of the fact that bivariant cycle cohomology groups are canonically isomorphic (in appropriate cases) to Bloch's higher Chow groups, thereby providing a link between the authors' theory and Bloch's original approach to motivic (co-)homology. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Algebraic cycles. | |
| 650 | 0 | |a Homology theory. | |
| 650 | 7 | |a MATHEMATICS / Geometry / Algebraic. |2 bisacsh | |
| 653 | |a Abelian category. | ||
| 653 | |a Abelian group. | ||
| 653 | |a Addition. | ||
| 653 | |a Additive category. | ||
| 653 | |a Adjoint functors. | ||
| 653 | |a Affine space. | ||
| 653 | |a Affine variety. | ||
| 653 | |a Alexander Grothendieck. | ||
| 653 | |a Algebraic K-theory. | ||
| 653 | |a Algebraic cycle. | ||
| 653 | |a Algebraically closed field. | ||
| 653 | |a Andrei Suslin. | ||
| 653 | |a Associative property. | ||
| 653 | |a Base change. | ||
| 653 | |a Category of abelian groups. | ||
| 653 | |a Chain complex. | ||
| 653 | |a Chow group. | ||
| 653 | |a Closed immersion. | ||
| 653 | |a Codimension. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Cokernel. | ||
| 653 | |a Commutative property. | ||
| 653 | |a Commutative ring. | ||
| 653 | |a Compactification (mathematics). | ||
| 653 | |a Comparison theorem. | ||
| 653 | |a Computation. | ||
| 653 | |a Connected component (graph theory). | ||
| 653 | |a Connected space. | ||
| 653 | |a Corollary. | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Dimension. | ||
| 653 | |a Discrete valuation ring. | ||
| 653 | |a Disjoint union. | ||
| 653 | |a Divisor. | ||
| 653 | |a Embedding. | ||
| 653 | |a Endomorphism. | ||
| 653 | |a Epimorphism. | ||
| 653 | |a Exact sequence. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Field of fractions. | ||
| 653 | |a Functor. | ||
| 653 | |a Generic point. | ||
| 653 | |a Geometry. | ||
| 653 | |a Grothendieck topology. | ||
| 653 | |a Homeomorphism. | ||
| 653 | |a Homogeneous coordinates. | ||
| 653 | |a Homology (mathematics). | ||
| 653 | |a Homomorphism. | ||
| 653 | |a Homotopy category. | ||
| 653 | |a Homotopy. | ||
| 653 | |a Injective sheaf. | ||
| 653 | |a Irreducible component. | ||
| 653 | |a K-theory. | ||
| 653 | |a Mathematical induction. | ||
| 653 | |a Mayer-Vietoris sequence. | ||
| 653 | |a Milnor K-theory. | ||
| 653 | |a Monoid. | ||
| 653 | |a Monoidal category. | ||
| 653 | |a Monomorphism. | ||
| 653 | |a Morphism of schemes. | ||
| 653 | |a Morphism. | ||
| 653 | |a Motivic cohomology. | ||
| 653 | |a Natural transformation. | ||
| 653 | |a Nisnevich topology. | ||
| 653 | |a Noetherian. | ||
| 653 | |a Open set. | ||
| 653 | |a Pairing. | ||
| 653 | |a Perfect field. | ||
| 653 | |a Permutation. | ||
| 653 | |a Picard group. | ||
| 653 | |a Presheaf (category theory). | ||
| 653 | |a Projective space. | ||
| 653 | |a Projective variety. | ||
| 653 | |a Proper morphism. | ||
| 653 | |a Quasi-projective variety. | ||
| 653 | |a Residue field. | ||
| 653 | |a Resolution of singularities. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Sheaf (mathematics). | ||
| 653 | |a Simplicial complex. | ||
| 653 | |a Simplicial set. | ||
| 653 | |a Singular homology. | ||
| 653 | |a Smooth scheme. | ||
| 653 | |a Spectral sequence. | ||
| 653 | |a Subcategory. | ||
| 653 | |a Subgroup. | ||
| 653 | |a Summation. | ||
| 653 | |a Support (mathematics). | ||
| 653 | |a Tensor product. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology. | ||
| 653 | |a Triangulated category. | ||
| 653 | |a Type theory. | ||
| 653 | |a Universal coefficient theorem. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Vector bundle. | ||
| 653 | |a Vladimir Voevodsky. | ||
| 653 | |a Zariski topology. | ||
| 653 | |a Zariski's main theorem. | ||
| 700 | 1 | |a Friedlander, Eric M., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Friedlander, Eric M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Suslin, A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Suslin, Andrei A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Suslin, Andrei, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Suslin, Andrei, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Voevodsky, V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Voevodsky, Vladimir, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Backlist 2000-2013 |z 9783110442502 |
| 776 | 0 | |c print |z 9780691048154 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400837120 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400837120 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400837120/original |
| 912 | |a 978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013 |c 2000 |d 2013 | ||
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| 912 | |a EBA_CL_MTPY | ||
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| 912 | |a ZDB-23-PMB |c 1940 |d 2020 | ||