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Results tagged with ag.algebraic-geometry
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user 128502
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
Accepted
Is the cap-product map injective for singular varieties?
This map isn't always injective for singular $X$ with isolated singularities, consider the $3$ dimensional schubert variety of the Grassmannian $G(2,4)$. Explicitly, this is $2$ planes in four space w …
- 1,949
6
votes
Deligne's theorem on finite flat group schemes and generalizations
This is just expanding on user19475's comment, and is taken entirely from Schoof's notes, but as this question is the first thing to come up when googling, I thought it might be helpful to give my nov …
- 1,949
1
vote
0
answers
59
views
Given an abelian galois map of curves, what are the principal divisors on the source fixed b...
Let $f:X\rightarrow Y$ be an abelian galois map (not necessarily unramified) of nonsingular complete curves over algebraically closed $k$, where the order of the galois group $A$ is coprime to the cha …
- 1,949
3
votes
Accepted
Why does $p_*p^! A$ deserve to be called homology with coefficients in $A$?
One nice geometric way to view homology is a measurement of your space $X$ given by probing $X$ with other, nicer spaces, for instance, singular homology probes with simplices. One good reason to call …
- 1,949