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Results tagged with arithmetic-geometry
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user 2039
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
8
votes
2
answers
975
views
Lifting the Hasse invariant mod $2$
Katz defines in Section 2.0 $p$-adic properties of modular schemes and modular forms the Hasse invariant as a mod $p$ modular form $A$ of weight $p-1$. In other words, it is a section of $\omega^{\oti …
- 12.1k
8
votes
Accepted
Good introductory references on moduli (stacks), for arithmetic objects
If you want to learn about stacks, I can recommend 'Fundamental Algebraic Geometry: Grothendieck's FGA Explained'. Vistoli's exposition of the basic theory of stacks is hard to beat, I think. Moreover …
- 12.1k
1
vote
0
answers
109
views
Compactifications of product of universal elliptic curves
Let $\mathcal{E}$ be the universal elliptic curve over the moduli stack $\mathcal{M}$ of elliptic curves. As $\mathcal{E}$ is an abelian group scheme over $\mathcal{M}$, we obtain a product-preserving …
- 12.1k