Lectures on An Introduction to Grothendieck's Theory of the Fundamental Group
by J.P. Murre
Publisher: Tata Institute of Fundamental Research 1967
Number of pages: 143
The purpose of this text is to give an introduction to Grothendieck's theory of the fundamental group in algebraic geometry with, as application, the study of the fundamental group of an algebraic curve over an algebraically closed field of arbitrary characteristic.
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by Enrique Arrondo - Universidad Complutense de Madrid
The scope of these notes is to present a soft and practical introduction to algebraic geometry, i.e. with very few algebraic requirements but arriving soon to deep results and concrete examples that can be obtained 'by hand'.
by S.S. Abhyankar - Tata Institute Of Fundamental Research
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.
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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.
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