• Thumbnail for Jean-Pierre Serre
    pullback by a finite étale map – are important. This acted as one important source of inspiration for Grothendieck to develop the étale topology and the corresponding...
    19 KB (1,912 words) - 20:07, 30 April 2025
  • fields, there is a cohomological classification of Azumaya algebras using Étale cohomology. In fact, this group, called the Brauer group, can be also defined...
    17 KB (3,208 words) - 22:29, 28 October 2023
  • Thumbnail for Commutative algebra
    ISBN 3-540-64239-0. Bourbaki, Nicolas (2006) [1983]. "Chapitres 8 et 9". Algèbre commutative. Éléments de mathématique. Springer. ISBN 978-3-540-33942-7...
    17 KB (2,025 words) - 19:22, 15 December 2024
  • R_{\mathfrak {p}}} . Bourbaki, Algèbre commutative 1989, Ch II, §5, Exercise 4 harvnb error: no target: CITEREFBourbaki,_Algèbre_commutative1989 (help) Bass...
    23 KB (3,092 words) - 03:11, 16 June 2025
  • representations. In simple cases, it relates l-adic representations of the étale fundamental group of an algebraic curve to objects of the derived category...
    21 KB (2,351 words) - 22:52, 31 May 2025
  • 1996–1997 Christophe Breuil Cohomologie log-cristalline et cohomologie étale de torsion Christine Lescop Autour de l’invariant de Casson 1997–1998 Andrei...
    26 KB (501 words) - 08:20, 12 November 2024
  • (1995), Affine and projective geometry, Wiley Nicolas Bourbaki (1970), Algèbre, vol. I, Masson, §II.9. Harold Scott Macdonald Coxeter (1987), Projective...
    16 KB (2,538 words) - 15:54, 10 May 2021
  • Cohomologie Galoisienne, Springer-Verlag: Berlin. J. L. Verdier. 1965. Algèbre homologiques et Catégories derivées. North Holland Publ. Cie). Alexander...
    12 KB (1,427 words) - 04:47, 12 March 2025
  • localization of A, then L B / A ≃ 0 {\displaystyle L_{B/A}\simeq 0} . If f is an étale morphism, then L B / A ≃ 0 {\displaystyle L_{B/A}\simeq 0} . If f is a smooth...
    30 KB (4,731 words) - 04:25, 25 May 2025