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Results tagged with ag.algebraic-geometry
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user 1467
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
Accepted
(corrected) When does a torsor trivialize over the algebraic closure?
-The following is a general condition for trivialization:
Let $\pi:X\to S$ be the structure map and let $T_G$ be the sheaf of trivialization maps where for $U\subset X$ open we have $T_G(U) := \lbrace …
- 370
18
votes
1
answer
3k
views
Field with one element example?
$$\frac{1}{\mu(B)}\int_B \vert x \vert d\mu(x) = \frac{1}{p+1}$$
This formula holds for the unit ball in $\mathbb{Q_p}$. This formula also holds for
$\mathbb{R}$ when $p=1$. Should one expect $$\mat …
- 370
2
votes
Field with one element example?
It is true that if $f(T)\in \mathbb Z[T]$ then,
$$ \frac{1}{\mu_p(B)}\int_{\mathbb Z_p} f(\vert x \vert_p) d\mu_p(x) \to \frac{1}{\vert B \vert}\int_{B}f(\vert x \vert)dx \mbox{ as } p\to 1.$$
It is …