منابع مشابه
Etale Cohomology
The development of etale cohomology was motivated by work on the Weil conjectures, which state that local-zeta functions ζ(X, s), i.e. the generating function for the number of rational points of a projective variety defined over a finite field Fq in all finite extensions, satisfy certain properties analogous to those of the Riemann zeta function. Weil observed that the number of points defined...
متن کاملEtale Cohomology - Part 2
1. Grothendieck Topologies 1 2. The Category of Sheaves on a Site 3 3. Operations on presheaves and sheaves 6 4. Stalks of étale sheaves; the mapping cylinder 7 4.1. Stalks 7 4.2. The mapping cylinder 10 5. Cohomology 12 6. Flabby sheaves and Čech cohomology 13 7. Excision and cohomology with supports 17 8. Comparison theorems 19 8.1. Comparison of étale and Zariski cohomologies 20 8.2. Compari...
متن کاملPro-´ Etale Cohomology
0965 Contents 1. Introduction 1 2. Some topology 2 3. Local isomorphisms 4 4. Ind-Zariski algebra 6 5. Constructing w-local affine schemes 6 6. Identifying local rings versus ind-Zariski 10 7. Ind-´ etale algebra 14 8. Constructing ind-´ etale algebras 15 9. Weaklyétale versus pro-´ etale 18 10. Constructing w-contractible covers 18 11. The pro-´ etale site 21 12. Points of the pro-´ etale site...
متن کاملLectures on Etale Cohomology
These are the notes for a course taught at the University of Michigan in W89 as Math 732 and in W98 as Math 776. They are available at www.math.lsa.umich.edu/∼jmilne/ Please send comments and corrections to me at [email protected]. v2.01 (August 9, 1998). First version on the web.
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2013
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-013-9244-7