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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

5 votes

What are positive divisors of degree 2 on Elliptic Curve $y^2=x^3-x-1$ over $\mathbb{F}_3$?

For a nonsingular cubic curve $X \subset \mathbb{P}^2$ over a finite field $\mathbb{F}_q$, if $a_1$ is the number of $\mathbb{F}_q$-points of $X$, and $a_2$ is the number of effective degree two divis …
Evgeny Shinder's user avatar
3 votes

Milnor lattice and Du Val singularity

Nikulin, in $\S$2 of his classical paper about lattices explains an algorithm how to compute the Milnor lattice of a function germ with an isolated singularity. Specifically, in Theorem 2.2.2 he says …
Evgeny Shinder's user avatar
1 vote
0 answers
92 views

Uniqueness of decomposition for positive-definite integral bilinear forms?

Let $\Lambda$ be a lattice, that is a free finitely generated abelian group with a symmetric bilinear form. In general, decomposition of lattices into indecomposable orthogonal sublattices is not uniq …
Evgeny Shinder's user avatar