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- algebraic geometry - How and why does Grothendiecks work provide tools . . .
Grothendieck's greatest contribution was to invent just that generalization : étale cohomology, which was based on his grandiose anterior re-creation of the tools of algebraic geometry, his scheme theory which needed thousands of pages for its development
- How are demons relevant to the Grothendieck-Riemann-Roch theorem?
The following illustration appears on the Wikipedia page for the Grothendieck-Riemann-Roch theorem, as Grothendieck's comment on the theorem Why is the Grothendieck–Riemann–Roch theorem in hell?
- Grothendiecks quote about the importance of ideas
Is it this: Grothendieck's most popular quote on the Internet: “If there is one thing in mathematics that fascinates me more than anything else (and doubtless always has), it is neither "number" nor "size", but always form And among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other and continues to fascinate me, is the
- Is there English version (published) of Grothendiecks EGA and SGA?
My interest in the applications of algebraic geometry led me to study its basics I am interested in reading Grothendieck's EGA and SGA, which are believed to be the bible of the algebraic geomete
- Grothendieck Topos - Mathematics Stack Exchange
A Grothendieck Topos is equivalent to the Category of sheaves on some site (C,J) A presheaf (on site (C,J)) is a contravariant functor P, from category C to the category of sets
- What is the idea of a monodromy? - Mathematics Stack Exchange
Grothendieck's monodromy theorem says that this local monodromy action is always quasi-unipotent, i e some power of the generator of $\pi_1 (D^ {\times})$ acts unipotently
- algebraic geometry - Did Grothendieck acknowledge his collaborators . . .
Did Grothendieck's collaborators really bring so little to the development of modern algebraic geometry? And did Grothendieck ever acknowledge any of his collaborators as his equal?
- Grothendiecks Galois theory: fundamental theorem
I've been learning about Grothendieck's Galois theory, and I just haven't been able to understand the fundamental theorem properly Let's phrase the fundamental theorem in the case of fields: Let
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