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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.
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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- 10.9k
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 …
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