Lei fu etale cohomology theory pdf files

Etale cohomology etale cohomology theory world scientific. Algebraic geometry i shall assume familiarity with the theory of algebraic varieties, for. Lei fu, etale cohomology theory is also nice and has not been mentioned yet. Evan jenkinss notes of a seminar on etale cohomology click on the pdf. We show that the cohomology of gsp is often isomorphic to the etale cohomology of the scheme specok \ s. In mathematics, the etale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by grothendieck in order to prove the weil conjectures.

Fundamental group and etale cohomology mathoverflow. These are the notes for a course taught at the university of michigan in w89 as math 732and in w98 as math 776. Etale cohomology is an important branch in arithmetic geometry. Grothendieck topology one gets the corresponding cohomology theory out, and. Fu, etale cohomology theory, revised edition, world scientific, 2015. Etale cohomology theoryrevised editio nankai tracts in. Isbn 9780387121758 fu, lei 2011, etale cohomology theory. New edition available here etale cohomology is an important branch in arithmetic geometry. Since the identity is an etale morphism, we can compute the global sections of an. Etale cohomology theory nankai tracts in mathematics nankai tracts in mathematics hardcover 9789814307727. This note is based on the 3hour presentation given in the student seminar on winter 2014. The essentials of etale cohomology theory springerlink skip. Evan jenkinss notes of a seminar on etale cohomology click on the pdf icons. Lic2009b, and the conjectural underlying cohomology theory is known.

Etale cohomology theory mathematical association of america. This book covers the main materials in sga 1, sga 4, sga 4 12 and sga 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, galois cohomology, etale cohomology, derived categories, base change theorems, duality, and. Much of the material in these notes parallels that in, for example, iversen, b. The essentials of etale cohomology theory springerlink. Lei fu, etale cohomology theory is also nice and has not been. Fu, etale cohomology theory, revised edition, world scienti. Etale cohomology theoryrevised editio nankai tracts in mathematics book 14 kindle edition by lei fu. Fu, algebraic geometry, tsinghua university press and springer.