Moduli Stack of Abelian Varieties

polarization derived stacks moduli space

Learning

https://www.jmilne.org/math/CourseNotes/AV.pdf

Notes from Haiyang ^7cc3c7

Learning/Abelian Varieties ac30f83986fe4dbc9a2c2f14b036550a/EllipticCurve_notes1.pdf

Learning/Abelian Varieties ac30f83986fe4dbc9a2c2f14b036550a/EllipticCurve_notes2.pdf

Learning/Abelian Varieties ac30f83986fe4dbc9a2c2f14b036550a/EllipticCurve_notes3.pdf

https://www.notion.so/Abelian-Varieties-lccs-c04a95cd6aee4d3f865927b3e6adde00

🗓️ Timeline

2021-04-23

For Moduli Stack of Abelian Varieties, requires [[Neron model|Néron models]], see Silverman.
2021-04-18

\({\mathbb{H}}_S^g/{\mathsf{Sp}}(2g; {\mathbb{Z}})\) is somehow a model for Moduli Stack of Abelian Varieties, \(M_g\) embeds as a variety since we have the Jacobian

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polarization in The Galois action on symplectic K-theory, Moduli Stack of Abelian Varieties
moduli stack of elliptic curves

Moduli Stack of Abelian Varieties
moduli space

Moduli Stack of Abelian Varieties
deformation theory

Moduli Stack of Abelian Varieties
Tate module

Studying Moduli Stack of Abelian Varieties \(E\).
Learning Resources: Number Theory

See Haiyang’s notes: Moduli Stack of Abelian Varieties