**Lectures on Logarithmic Algebraic Geometry**

by Arthur Ogus

**Publisher**: University of California, Berkeley 2006**Number of pages**: 255

**Description**:

Logarithmic geometry was developed to deal with two fundamental and related problems in algebraic geometry: compactification and degeneration. Contents: The geometry of monoids; Log structures and charts; Morphisms of log schemes; Differentials and smoothness; De Rham and Betti cohomology.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Lectures on Curves on Rational and Unirational Surfaces**

by

**Masayoshi Miyanishi**-

**Tata Institute of Fundamental Research**

From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.

(

**6118**views)

**Lectures on the topological recursion for Higgs bundles and quantum curves**

by

**Olivia Dumitrescu, Motohico Mulase**-

**arXiv**

The paper aims at giving an introduction to the notion of quantum curves. The main purpose is to describe the discovery of the relation between the topological recursion and the quantization of Hitchin spectral curves associated with Higgs bundles.

(

**3376**views)

**Algebraic Groups and Discontinuous Subgroups**

by

**Armand Borel, George D. Mostow**-

**American Mathematical Society**

The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.

(

**11153**views)

**Lectures on Siegel's Modular Functions**

by

**H. Maass**-

**Tata Institute of Fundamental Research**

Contents: Modular Group of Degree n; Symplectic group of degree n; Reduction Theory of Positive Definite Quadratic Forms; Fundamental Domain of the Modular Group of Degree n; Modular Forms of Degree n; Algebraic dependence of modular forms; etc.

(

**7720**views)