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Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises (Springer Studium Mathematik - Master) free ebook download

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Author(s):	Ulrich Gortz

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3658430303
Pages:	876	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	11/27/2023 5:19:04 PM

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This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes.
It begins by discussing in detail the notions of smooth, unramified and tale morphisms including the tale fundamental group. The main part is dedicated to the cohomology of quasi-coherent sheaves. The treatment is based on the formalism of derived categories which allows an efficient and conceptual treatment of the theory, which is of crucial importance in all areas of algebraic geometry. After the foundations are set up, several more advanced topics are studied, such as numerical intersection theory, an abstract version of the Theorem of Grothendieck-Riemann-Roch, the Theorem on Formal Functions, Grothendieck's algebraization results and a very general version of Grothendieck duality. The book concludes with chapters on curves and on abelian schemes, which serve to develop the basics of the theory of these two important classes of schemes on an advanced level, and at the same time to illustrate the power of the techniques introduced previously.
The text contains many exercises that allow the reader to check their comprehension of the text, present further examples or give an outlook on further results.
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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3211228	Book	https://nitroflare.com/view/B46C9447FB71...		0.00	gestalt

Tags: Algebraic Cohomology Examples Exercises Geometry Master Mathematik Schemes Springer Studium

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Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises (Springer Studium Mathematik - Master) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics