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Remark 17.6 Milne, James S. (2012). "Lectures on Étale Cohomology" (PDF). J. S. Milne, Étale Cohomology Fu, Lei (2015). Etale Cohomology Theory. NankaiJames Milne (mathematician) (463 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 UniversitySymbol (number theory) (883 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)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, CalifÉléments de géométrie algébrique (1,153 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 editionSmooth 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 . PrincetonJan 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 unitaryMultiplicative 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, NadiyaDuality (mathematics) (6,281 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 equivalentÉtale 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 17Image 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 referenceList 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 GrenzgebieteUwe 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/BF01456052Grothendieck 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 GrenzgebieteÉtale 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)Berkovich space (1,544 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 deCrystalline 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-functionsLefschetz fixed-point theorem (1,483 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 valuesRobert Wayne Thomason (489 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, QuatrièmeBlackboard bold (2,021 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 PressProjective module (3,076 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)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: IncludesTorsor (algebraic geometry) (2,638 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 PressHensel'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