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Derived functors and sheaf cohomology

Derived functors and sheaf cohomology
Catalogue Information
Field name Details
Dewey Class 514.23
Title Derived functors and sheaf cohomology (M) / Ugo Bruzzo, Beatriz Graña Otero
Author Bruzzo, Ugo
Added Personal Name Graña Otero, Beatriz
Publication Singapore : World Scientific , 2020
Physical Details xiii, 199 pages ; 23 cm.
Series Contemporary mathematics and its applications : monographs, expositions and lecture notes ; v. 2
ISBN 9789811207280
Summary Note "The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra. The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors is stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining Čech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter"--Publisher's website:
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Catalogue Information 50717 Beginning of record . Catalogue Information 50717 Top of page .
Item Information
Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044580 515.14 BRU
General   SISSA . . Available .  
. Catalogue Record 50717 ItemInfo Beginning of record . Catalogue Record 50717 ItemInfo Top of page .

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