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Results tagged with schemes
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user 2284
The first purpose of schemes theory is the geometrical study of solutions of algebraic systems of equations, not only over the real/complex numbers, but also over integer numbers (and more generally over any commutative ring with 1). It was finalized by Alexandre Grothendieck, during the 1950s and the 1960s.
8
votes
What is an explicit example of a variety X which is finite over Spec F_p but which does not ...
Am I missing something or is this the classical question of Serre? A class of examples is given in Exemples de variétés projectives en caractéristique p non relevables en caractéristique zéro.
Proc. N …
- 10.9k
13
votes
Why would one "attempt" to define points of a motive as $\operatorname{Ext}^1(\mathbb{Q}(0),...
In the spirit of You Could Have Invented Spectral Sequences by T.Chow, I claim you could have invented $\operatorname{Ext}^{1}(\mathbb Q(0),M)$ as group of "rational points" of a motive. Here is how.
…
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