New posts in Arithmetic Geometry

Brauer group of global fields

What is the motivation behind the Hilbert Symbol?

Why is the fundamental group a sheaf in the etale topology?

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

Intuition for Class Numbers

Why is it "easier" to work with function fields than with algebraic number fields?

Bound for number of points on surface over $\mathbb{F}_p$

Rank of jacobians of twists of hyperelliptic curves of genus one

Lang's conjecture beyond the curve case

Arithmetic zeta functions of products and fibrations