New posts in arithmetic-geometry

Singular points of orders of a number field

abstract-algebra number-theory algebraic-geometry algebraic-number-theory arithmetic-geometry

"Spreading out" a smooth, connected $\mathbb{C}$-scheme of finite type.

number-theory algebraic-geometry schemes fiber-bundles arithmetic-geometry

Infinitely many solutions leads to existence of a polynomial

number-theory polynomials arithmetic-geometry

Elliptic curves over Spec Z

algebraic-geometry elliptic-curves arithmetic-geometry

If $E/\mathbf Q$ is an elliptic curve and $n$ is odd, then the $n$-torsion $E(\mathbf Q)[n]$ is cyclic; elementary proof?

number-theory elliptic-curves arithmetic-geometry

Clarification about Hasse's Theorem for Elliptic Curve over Finite Fields

number-theory elliptic-curves arithmetic-geometry

Zeta function of algebraic variety over $\mathbb{F}_q$, formula for product of Witt vectors.

number-theory algebraic-geometry algebraic-number-theory riemann-zeta arithmetic-geometry

Families of curves over number fields

number-theory algebraic-curves arithmetic-geometry rational-functions

Does an Elliptic Curve has to have a rational point by definition?

definition elliptic-curves arithmetic-geometry

Completion along zero section of an elliptic curve.

algebraic-geometry elliptic-curves arithmetic-geometry

How should I think about Ihara's Lemma?

algebraic-number-theory modular-forms arithmetic-geometry algebraic-geometry

Why $p$-adically interpolate?

algebraic-number-theory special-functions p-adic-number-theory arithmetic-geometry zeta-functions

Which number fields allow higher genus curves with everywhere good reduction

algebraic-geometry arithmetic-geometry galois-cohomology

Where does this elliptic curve come from?

algebraic-geometry elliptic-curves characters arithmetic-geometry k3-surfaces

What is the intuition behind the Fontaine-Mazur Conjecture?

number-theory arithmetic-geometry galois-representations etale-cohomology

Why do varieties with torsion canonical sheaf have finite etale covers with trivial canonical sheaf

number-theory algebraic-geometry algebraic-curves surfaces arithmetic-geometry

Working with Morphisms in Local Coordinates

algebraic-geometry arithmetic-geometry abstract-algebra

Definition of tamely ramified

number-theory algebraic-geometry algebraic-number-theory arithmetic-geometry

Intuitively, what is the height of a point on an abelian variety?

algebraic-geometry elliptic-curves arithmetic-geometry

What is the status of the purported proof of the ABC conjecture?

number-theory arithmetic-geometry