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Results tagged with ag.algebraic-geometry
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user 6121
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
6
votes
2
answers
2k
views
"Bad" reduction of Shimura curves via dual graphs
I have the following naive (and inexpert) question about the
reduction of Shimura curves at primes dividing the discriminant
of the underlying quaternion algebra. It requires some background
to state. …
- 1,446
34
votes
3
answers
7k
views
Vanishing cycles in a nutshell?
To quote one source among many, "the general reference for vanishing cycles is [SGA 7] XIII and XV". Is there a more direct way to learn the main principles of this theory (i.e. without the language o …
- 5,701
4
votes
A route towards understanding Shimura varieties?
I think the general wisdom is that Deligne's Travaux de Shimura and Milne's Introduction to Shimura Varieties are the most comprehensive references, with the latter being somewhat lighter on prerequis …
- 1,141
6
votes
1
answer
814
views
Characterization of algebraic points on Shimura varieties?
Is there any (conjectural) characterization of $\overline{\bf{Q}}$-points
on Shimura varieties?
The question of course does not always make sense
for ${\bf{Q}}$-points: a theorem of Shimura shows th …
- 57.6k