Lectures on Expansion Techniques In Algebraic Geometry
by S.S. Abhyankar
Publisher: Tata Institute Of Fundamental Research 1977
Number of pages: 169
From the table of contents: Meromorphic Curves; G-Adic Expansion and Approximate Roots; Characteristic Sequences of a Meromorphic Curve; The Fundamental Theorem and applications; Irreducibility, Newton's Polygon; The Jacobian Problem.
Download or read it online for free here:
by Igor V. Dolgachev - Cambridge University Press
The main purpose of the present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times.
by Miroslav Josipovic - viXra
This text is a motivational survey of geometric algebra in 3D. The intention here was to use simple examples and reader is referred to the independent problem solving. The active reading of text is recommended, with paper and pencil in hand.
by Johan de Jong, et al.
The stacks project aims to build up enough basic algebraic geometry as foundations for algebraic stacks. This implies a good deal of theory on commutative algebra, schemes, varieties, algebraic spaces, has to be developed en route.
by Yuriy Drozd
From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.