How Long to Read The Brauer-Grothendieck Group

How Long Does it Take to Read The Brauer-Grothendieck Group?

It takes the average reader to read The Brauer-Grothendieck Group by Jean-Louis Colliot-Thélène

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Description

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer-Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong's proof of Gabber's theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer-Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer-Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry.

How long is The Brauer-Grothendieck Group?

The Brauer-Grothendieck Group by Jean-Louis Colliot-Thélène is 0 pages long, and a total of 0 words.

This makes it 0% the length of the average book. It also has 0% more words than the average book.

How Long Does it Take to Read The Brauer-Grothendieck Group Aloud?

The average oral reading speed is 183 words per minute. This means it takes to read The Brauer-Grothendieck Group aloud.

What Reading Level is The Brauer-Grothendieck Group?

The Brauer-Grothendieck Group is suitable for students ages 2 and up.

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