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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
13
votes
Missing exposés in SGA 5, and the composition of the SGA's
This answer addresses your second question, regarding the specific case of SGA 5. In short: the contents of SGA 5 Exposé II can be found in Deligne's "SGA 4 1/2". Also, see my other answer about the o …
28
votes
What are dessins d'enfants?
Given a compact Riemann surface $X$, every holomorphic function on $X$ is constant. This is obvious if you think about holomorphic functions as locally conformal mappings, that is, transformations of …
8
votes
Where is Grothendieck's “Résidus et Dualité: Prénotes pour un Séminaire Hartshorne”?
Confirming what was said in the comments to the question, the Catalog for 2024's publications by the SMF states that Résidus et Dualité is going to be Vol 21 of Documents Mathématiques.
https://smf.em …
3
votes
Missing exposés in SGA 5, and the composition of the SGA's
I've found Illusie's redaction of Grothendieck's original notes for SGA 5 Exp II:
Formules de Künneth pour la cohomologie à supports propres, par L. Illusie (d'aprés des papiers secrets de A. Grothend …
3
votes
Original reference of six functor formalism?
There doesn't exist a mathematical publication by Grothendieck explicitly presenting that formalism. It was going to be addressed in "Exposé 0" of SGA 5, but the editors excluded it from the final pub …
5
votes
Accepted
On a series of lectures of Deligne on crystalline cohomology in characteristic $0$
After asking Mr Le Stum for the scan which Emily talked about in the comments to the original post, he kindly sent it to me, with permission to share it publicly. It is, according to him, a "bad copy" …