Lectures on Expansion Techniques In Algebraic Geometry
by S.S. Abhyankar
Publisher: Tata Institute Of Fundamental Research 1977
ISBN/ASIN: B007F6RC0I
Number of pages: 169
Description:
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:
Download link
(870KB, PDF)
Similar books
Strings and Geometryby M. Douglas, J. Gauntlett, M. Gross - American Mathematical Society
This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.
(8016 views)
Lectures On Old And New Results On Algebraic Curvesby P. Samuel - Tata Institute Of Fundamental Research
The aim of this text is to give a proof, due to Hans Grauert, of an analogue of Mordell's conjecture. Contents: Introduction; Algebro-Geometric Background; Algebraic Curves; The Theorem of Grauert (Mordell's conjecture for function fields).
(4972 views)
Lectures on the topological recursion for Higgs bundles and quantum curvesby 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.
(1837 views)
Lectures on Birational Geometryby Caucher Birkar - arXiv
Topics covered: introduction into the subject, contractions and extremal rays, pairs and singularities, Kodaira dimension, minimal model program, cone and contraction, vanishing, base point freeness, flips and local finite generation, etc.
(3489 views)