This PDF Lectures covers the
following topics related to Arithmetic Geometry : Operations with modules,
Schemes and projective schemes, Rings of dimension one, The compactified Picard
group of an order of a number field, Different, discriminant and conductor, The
classic theorems of the algebraic number theory, Heights of rational points on a
scheme over a number field.
This PDF Lectures covers the
following topics related to Arithmetic and Algebraic Geometry : Rings, Spectra,
Affine Varieties, Projective Varieties, Regularity, Curves.
This PDF Lectures covers the
following topics related to Arithmetic Geometry : Operations with modules,
Schemes and projective schemes, Rings of dimension one, The compactified Picard
group of an order of a number field, Different, discriminant and conductor, The
classic theorems of the algebraic number theory, Heights of rational points on a
scheme over a number field.
The aim
of these notes is to describe some examples of modular forms whose Fourier
coefficients involve quantities from arithmetical algebraic geometry.