---
aliases: ["NT"]

---

Tags: #NT 

# Topics
- [absolute value](absolute value.md)
- [Reduction](Reduction.md)

-[place](place.md)
	- [Archimedean place](Archimedean place)
- [Base change](Base change)
- [Jacobian](Jacobian.md)
- [Picard group](Picard group.md) 
	- (e.g. of $L_{K(n)}S^O$)
- [Adeles](Adeles)
- [Ideles](Ideles.md)
- [Lubin-Tate space](Lubin-Tate space)
- [Lubin-Tate theory](Lubin-Tate theory.md)
- [uniformizer](uniformizer.md)
- [Faltings theorem](Faltings theorem)
- [p-adic integers](p-adic integers.md)
- [Dirichlet's theorem](Dirichlet's theorem.md)
- [order](order.md) $\OO_K$ in a number field?
- [quadratic form](quadratic form.md)
- [valuation ring](valuation ring)
- [base change](base change)

See also [Big Conjectures](Big Conjectures.md).

# Algebraic Number Theory

See [algebraic number theory](algebraic number theory.md)

- [ring of integers](ring of integers.md)
-  Archimedean field
- [ramified primes](ramified primes)

# Class Field Theory

- [Inertia](Inertia.md)
- [local field](local field.md)
- [Global field](Global field.md)

# Modular Forms

- [modular curve](modular curve.md)
- [modular form](modular form.md)

# Algebraic Curves

- [Function field](Function field.md)
- [divisor](divisor.md)

# Geometric

- [elliptic curve](elliptic curve.md)
- [Riemann-Roch](Riemann-Roch.md)
- [algebraic curve](algebraic curve.md)