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searching for Étale cohomology 27 found (112 total)

Torsion sheaf (131 words) [view diff] case mismatch in snippet view article find links to article

Remark 17.6 Milne, James S. (2012). "Lectures on Étale Cohomology" (PDF). J. S. Milne, Étale Cohomology Fu, Lei (2015). Etale Cohomology Theory. Nankai

James Milne (mathematician) (487 words) [view diff] case mismatch in snippet view article

Anthony Vazzana, and Wafa Wei. Milne is also an avid mountain climber. Étale Cohomology. Princeton Mathematical Series. Vol. 33. Princeton, NJ: Princeton University

Jan Nekovář (319 words) [view diff] exact match in snippet view article find links to article

semisimplicity of étale cohomology of quaternionic Shimura varieties" (2018) "Semisimplicity of certain Galois representations occurring in étale cohomology of unitary

Syntomic topology (94 words) [view diff] exact match in snippet view article find links to article

Fontaine, Jean-Marc; Messing, William (1987), "p-adic periods and p-adic étale cohomology", Current trends in arithmetical algebraic geometry (Arcata, Calif

Symbol (number theory) (885 words) [view diff] exact match in snippet view article

symbol to higher algebraic K-theory. It takes a Milnor K-group to an étale cohomology group. Contou-Carrère symbol Mennicke symbol Neukirch, Jürgen (1999)

Smooth morphism (1,564 words) [view diff] exact match in snippet view article find links to article

Formally smooth map J. S. Milne (2012). "Lectures on Étale Cohomology" J. S. Milne. Étale cohomology, volume 33 of Princeton Mathematical Series . Princeton

Éléments de géométrie algébrique (1,149 words) [view diff] exact match in snippet view article find links to article

Did not appear. Étale cohomology treated in detail in SGA IV, SGA V. XIII Cohomologie de Weil none Intended to cover étale cohomology in the first edition

Multiplicative group (485 words) [view diff] exact match in snippet view article find links to article

group See Hazewinkel et al. (2004), p. 2. Milne, James S. (1980). Étale cohomology. Princeton University Press. pp. xiii, 66. Michiel Hazewinkel, Nadiya

Duality (mathematics) (6,694 words) [view diff] exact match in snippet view article

encountered in arithmetics: étale cohomology of finite, local and global fields (also known as Galois cohomology, since étale cohomology over a field is equivalent

Étale morphism (2,496 words) [view diff] exact match in snippet view article find links to article

17.10.2. EGA IV4, Corollaire 17.6.2 and Corollaire 17.10.2. Milne, Étale cohomology, Theorem 3.14. EGA IV4, Corollaire 17.14.1. EGA IV4, Proposition 17

Image functors for sheaves (638 words) [view diff] exact match in snippet view article find links to article

sheaves on schemes. See Exposé XVIII, section 3. Milne, James S. (1980), Étale cohomology, Princeton University Press, ISBN 978-0-691-08238-7 is another reference

List of topologies on the category of schemes (208 words) [view diff] exact match in snippet view article find links to article

and topological spaces Belmans, Pieter. Grothendieck topologies and étale cohomology Gabber, Ofer; Kelly, Shane (2015), "Points in algebraic geometry",

Arithmetic and geometric Frobenius (257 words) [view diff] exact match in snippet view article find links to article

minus sign may appear. Freitag, Eberhard; Kiehl, Reinhardt (1988), Étale cohomology and the Weil conjecture, Ergebnisse der Mathematik und ihrer Grenzgebiete

Uwe Jannsen (497 words) [view diff] exact match in snippet view article find links to article

Academia Europaea. His doctoral students include Moritz Kerz. Continuous étale cohomology, Mathematische Annalen vol. 280, no. 2 1988, pp. 207–245 doi:10.1007/BF01456052

Berkovich space (1,582 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-8218-1534-2, MR 1070709 Berkovich, Vladimir G. (1993), "Étale cohomology for non-Archimedean analytic spaces", Publications Mathématiques de

Grothendieck trace formula (640 words) [view diff] exact match in snippet view article find links to article

1007/BFb0096802. ISBN 3-540-08248-4. Freitag, Eberhard; Kiehl, Reinhardt (1988), Étale cohomology and the Weil conjecture, Ergebnisse der Mathematik und ihrer Grenzgebiete

Étale fundamental group (1,679 words) [view diff] case mismatch in snippet view article find links to article

Fundamental group Fundamental group scheme J. S. Milne, Lectures on Étale Cohomology, version 2.21: 26-27 Grothendieck, Alexandre; Raynaud, Michèle (2003)

Crystalline cohomology (1,922 words) [view diff] exact match in snippet view article find links to article

questions about p-torsion in cohomology groups better than p-adic étale cohomology. This makes it a natural backdrop for much of the work on p-adic L-functions

Lefschetz fixed-point theorem (1,549 words) [view diff] exact match in snippet view article find links to article

_{\ell })).} This formula involves the trace of the Frobenius on the étale cohomology, with compact supports, of X ¯ {\displaystyle {\bar {X}}} with values

Blackboard bold (2,023 words) [view diff] exact match in snippet view article find links to article

computer: some discouraging experiences". Arnold's Mathematical Seminar. Milne, James S. (1980). Étale cohomology. Princeton University Press. pp. xiii, 66.

Čech cohomology (3,381 words) [view diff] exact match in snippet view article find links to article

2022-06-17. Milne, James S. (1980), "Section III.2, Theorem 2.17", Étale cohomology, Princeton Mathematical Series, vol. 33, Princeton University Press

Projective module (3,082 words) [view diff] exact match in snippet view article find links to article

de France, 97: 81–128, doi:10.24033/bsmf.1675 Milne, James (1980). Étale cohomology. Princeton Univ. Press. ISBN 0-691-08238-3. Donald S. Passman (2004)

Robert Wayne Thomason (791 words) [view diff] exact match in snippet view article find links to article

ISSN 0040-9383, MR 0508885 Thomason, Robert W. (1985), "Algebraic K-theory and étale cohomology" (PDF), Annales Scientifiques de l'École Normale Supérieure, Quatrième

Affine variety (4,125 words) [view diff] exact match in snippet view article find links to article

www.jmilne.org. Retrieved 16 July 2021. Milne, James S. Lectures on Étale cohomology Mumford, David (1999). The Red Book of Varieties and Schemes: Includes

Torsor (algebraic geometry) (2,661 words) [view diff] exact match in snippet view article

Archived from the original on 2008-05-05. Milne, James S. (1980). Étale cohomology. Princeton Mathematical Series. Vol. 33. Princeton University Press

Christopher Deninger (3,515 words) [view diff] exact match in snippet view article find links to article

1016/0022-4049(86)90066-6, MR 0868985 Deninger, Christopher (1987), "Duality in the étale cohomology of one-dimensional proper schemes and generalizations", Mathematische

Hensel's lemma (9,047 words) [view diff] exact match in snippet view article find links to article

doi:10.1007/978-1-4612-5350-1, ISBN 978-0-387-94269-8, MR 1322960 Milne, J. G. (1980), Étale cohomology, Princeton University Press, ISBN 978-0-691-08238-7