Derived Categories Book [PDF] Download

• Publisher : Cambridge University Press
• File Size : 50,9 Mb
• Release Date : 19 December 2019

The first systematic exposition of the theory of derived categories, with key applications in commutative and noncommutative algebra.

• Publisher : Springer
• File Size : 21,8 Mb
• Release Date : 21 August 2018

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and

• Publisher : Springer Science & Business Media
• File Size : 34,7 Mb
• Release Date : 03 November 2009

Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success

• Publisher : American Mathematical Soc.
• File Size : 35,7 Mb
• Release Date : 24 June 2024

"July 2011, volume 212, number 996 (first of 4 numbers)."

• Publisher : Springer
• File Size : 25,6 Mb
• Release Date : 17 November 2006

The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. This includes a

• Publisher : Springer Science & Business Media
• File Size : 55,6 Mb
• Release Date : 20 December 2005

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs

• Publisher : Oxford University Press on Demand
• File Size : 49,7 Mb
• Release Date : 20 April 2006

This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It is aimed

• Publisher : Springer
• File Size : 48,7 Mb
• Release Date : 14 November 2006

A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is

• Publisher : Springer Science & Business Media
• File Size : 46,6 Mb
• Release Date : 17 April 2013

An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then

• Publisher : Springer Nature
• File Size : 28,7 Mb
• Release Date : 25 April 2020

These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980. He had just received the