Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 9 Heights and measures on analytic spaces. A survey of recent results, and some remarks
- 10 C-minimal structures without density assumption
- 11 Trees of definable sets in ℤp
- 12 Triangulated motives over noetherian separated schemes
- 13 A survey of algebraic exponential sums and some applications
- 14 A motivic version of p-adic integration
- 15 Absolute desingularization in characteristic zero
- References
12 - Triangulated motives over noetherian separated schemes
Published online by Cambridge University Press: 07 October 2011
Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 9 Heights and measures on analytic spaces. A survey of recent results, and some remarks
- 10 C-minimal structures without density assumption
- 11 Trees of definable sets in ℤp
- 12 Triangulated motives over noetherian separated schemes
- 13 A survey of algebraic exponential sums and some applications
- 14 A motivic version of p-adic integration
- 15 Absolute desingularization in characteristic zero
- References
Summary
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- Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry , pp. 108 - 177Publisher: Cambridge University PressPrint publication year: 2011
References
[1] , and . 2001. Idempotent completion of triangulated categories. J. Algebra, 236(2), 819–834.CrossRefGoogle Scholar
[2] , and 1973. Algebraic K-theory as generalized sheaf cohomology. Pages 266–292. Lecture Notes in Math., Vol. 341 of: Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972). Berlin: Springer.Google Scholar
[3] . 1998. Intersection theory. Second edn. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 2. Berlin: Springer-Verlag.Google Scholar
[5] 1960-1967. Éléments de géométrie algébrique. (EGA). Inst. Hautes Études Sci. Publ. Math.
[6] 1971. Revêtements étales et groupe fondamental. Berlin: Springer-Verlag. Séminaire de Géométrie Algébrique du Bois Marie 1960–1961 (SGA 1), Dirigé par Alexandre Grothendieck. Augmenté de deux exposés de M. Raynaud, Lecture Notes in Mathematics, Vol. 224.Google Scholar
[7] . 2007. Réalisation -Adique des Motifs Triangulés Géométriques I. Documenta. Math., 12, 607–671.Google Scholar
[8] , and . 1986. Global class field theory of arithmetic schemes. Pages 255–331 of: Applications of algebraic K-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983). Contemp. Math., vol. 55. Providence, RI: Amer. Math. Soc.CrossRefGoogle Scholar
[9] . 1998. Mixed motives. Mathematical Surveys and Monographs, vol. 57. Providence, RI: American Mathematical Society.Google Scholar
[10] . 1989. Commutative ring theory. Second edn. Cambridge Studies in Advanced Mathematics, vol. 8. Cambridge: Cambridge University Press. Translated from the Japanese by M. Reid.Google Scholar
[11] , , and . 2006. Lecture notes on motivic cohomology. Clay Mathematics Monographs, vol. 2. Providence, RI: American Mathematical Society.Google Scholar
[12] 1989. The completely decomposed topology on schemes and associated descent spectral sequences in algebraic K-theory. Pages 241–342 of: Algebraic K-theory: connections with geometry and topology (Lake Louise, AB, 1987). NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 279. Dordrecht: Kluwer Acad. Publ.CrossRefGoogle Scholar
[13] , and . 1971. Critères de platitude et de projectivité. Techniques de “platification” d'un module. Invent. Math., 13, 1–89.CrossRefGoogle Scholar
[14] . 1965. Algèbre locale. Multiplicités. Cours au Collège de France, 1957–1958, rédigé par Pierre Gabriel. Seconde édition, 1965. Lecture Notes in Mathematics, vol. 11. Berlin: Springer-Verlag.Google Scholar
[15] , and . 2000a. Bloch-Kato conjecture and motivic cohomology with finite coefficients. Pages 117–189 of: The arithmetic and geometry of algebraic cycles (Banff, AB, 1998). NATO Sci. Ser. C Math. Phys. Sci., vol. 548. Dordrecht: Kluwer Acad. Publ.CrossRefGoogle Scholar
[16] , and . 2000b. Relative cycles and Chow sheaves. Pages 10–86 of: Cycles, transfers, and motivic homology theories. Ann. of Math. Stud., vol. 143. Princeton, NJ: Princeton Univ. Press.Google Scholar
[17] . 2000a. Cohomological theory of presheaves with transfers. Pages 87–137 of: Cycles, transfers, and motivic homology theories. Ann. of Math. Stud., vol. 143. Princeton, NJ: Princeton Univ. Press.Google Scholar
[18] . 2000b (September). Homotopy theory of simplicial sheaves in completely decomposable topologies. www.math.uiuc.edu/K-theory/0443.
[19] . 2000c. Triangulated categories of motives over a field. Pages 188–238 of: Cycles, transfers, and motivic homology theories. Ann. of Math. Stud., vol. 143. Princeton, NJ: Princeton Univ. Press.Google Scholar
[20] . 2000d (September). Unstable motivic homo-topy categories in Nisnevich and cdh-topology. www.math.uiuc.edu/K-theory/0444.
[21] . 2002a (January). Cancellation Theorem. www. math.uiuc.edu/K-theory/0541.
[22] . 2002b. Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic. Int. Math. Res. Not., 351–355.