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Results tagged with ag.algebraic-geometry
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user 19355
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
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Classical modular curves over characteristic $p$.
The classical modular curve $\Phi_n(X,Y) \in \mathbb{Z}[X,Y]$ for $n \in \mathbb{Z}_{\geq 2}$ relates the $j$-invariants of elliptic curves $E_1$ and $E_2$ defined over $\mathbb{C}$ in the sense that …
- 163
7
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Lift smooth projective varieties over $\mathbb F_p$ to $\mathbb Z_p$?
It is not an easy task to give necessary and sufficient conditions on $X$ to lift it to $\mathbb{Z}_{p}$. As additional references you can check "Finite Group Schemes, local moduli for abelian varieti …
- 163
3
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1
answer
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Finite connected groups over a perfect field of characteristic p
In 14.4 of "Introduction to Affine Group Schemes" it is proved (!) that if $A$ represents a finite connected group scheme over a perfect field $k$ of characteristic $p$ then $A$ has the form $k[X_{1}, …
- 163
2
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1
answer
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Etale group schemes over a local ring
Let $p$ be a prime number and $R$ be a Noetherian local ring of characteristic $p$ with residue field $k$. Let $G$ be a finite etale subgroup scheme over $R$ of order $p$. Suppose that the etale $k$-g …
- 163