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Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.

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Recommended books/lecture notes for vector bundle on algebraic curve

The modern theory of vector bundles over a curve starts with Grothendieck's article Sur la classification des fibrés holomorphes sur la sphère de Riemann. American Journal of Mathematics, 79, 121–138, …
j.c.'s user avatar
  • 13.6k
25 votes

A reference for geometric class field theory?

1) Our (slightly pseudonymous!) friend, Brian Conrad, has written this beautiful introduction to geometric class field theory in his characteristically lucid style. 2) Another friend, Péter Tóth, …
Alex M.'s user avatar
  • 5,407
28 votes

Textbook for Etale Cohomology

I'll complement the list of well known books on the subject by some freely available documents, which I find user-friendly. Here are great lecture notes , from a course that de Jong (of Stacks Proj …
edo arad's user avatar
  • 274