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Results tagged with ag.algebraic-geometry
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user 429204
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
Cohomologie Etale
Yes, It is hosted on the wonderful webpage of J. Milne:
Étale cohomology: starting points
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3
votes
Where can I find that Weil suggested a cohomology theory for characteristic $p>0$?
As already mentioned in the comments it is very likely that Weil's heuristics appear in "Numbers of solutions of equations in finite fields", Bull. Amer. Math. Soc. 55(5): 497--508 (May 1949). But as …
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6
votes
Authorship of Grothendieck universes
Even if there is an accepted answer, I would like to question the hypothesis.
According to
Ralf Krömer, La « machine de Grothendieck » se fonde-t-elle seulement sur des vocables métamathématiques? Bo …
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3
votes
Making the étale topos construction a fully faithful 2-functor from schemes to Grothendieck ...
Take a look at the paper of Barwick, Glasman and Haine (https://arxiv.org/pdf/1807.03281.pdf).
In particular the section "Exodromy for schemes & the Reconstruction Theorem".
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2
votes
0
answers
288
views
Cartier and the continuity of the early history of schemes
If you allow me I would divide the early history of schemes this way
_ Weil, Zariski, Bourbaki, Nagata, Van der Waerden,... up to Chevalley (you can find an interesting blog here)
J P Serre varieties …
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5
votes
Has the mathematical content of Grothendieck's "Récoltes et Semailles" been used?
Yes, R&S proved to be influential in at least one sense, the mathematical work of Z. Mebkhout (part four is dedicated to him indeed: "À Zoghman Mebkhout l’ouvrier solitaire en témoignage de respect et …
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1
vote
A reference for geometric class field theory?
In the appendix to chapter I of Pursuing stacks, Grothendieck writes:
A large part of the letter outlines (very sketchily) some main points of a duality program (including a cohomological formulation …
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1
vote
Exposition of Grothendieck's mathematics
For 5. Topoi. There is a very readable notice of the AMS: What is... a topos?, Luc Illusie, and with M Raynaud about Schemes at Grothendieck and Algebraic Geometry. In fact, the webpage of Professor L …
8
votes
0
answers
328
views
Who introduced the notion of ringed spaces?
My question is very concise, please forgive it.
Who introduced the concept of ringed space?
My first try would be that they were introduced by Cartan in his study of analytic functions with sheaves. …
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7
votes
Jouanolou thesis on l-adic cohomology
The thesis is now published and you can find it in HAL/TEL
https://theses.hal.science/tel-04236971v1
Jean-Pierre Jouanolou. Catégories Dérivées en Cohomologie ℓ-adique. Mathématiques [math]. Faculté d …
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