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Zeta and L-Functions of Varieties and Motives

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Release : 2020-05-07
Genre : Mathematics
Kind : eBook
Book Rating : 399/5 ( reviews)

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Book Synopsis Zeta and L-Functions of Varieties and Motives by : Bruno Kahn

Download or read book Zeta and L-Functions of Varieties and Motives written by Bruno Kahn. This book was released on 2020-05-07. Available in PDF, EPUB and Kindle. Book excerpt: Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

Zeta and L-Functions of Varieties and Motives

Download Zeta and L-Functions of Varieties and Motives PDF Online Free

Author :
Release : 2020-05-07
Genre : Mathematics
Kind : eBook
Book Rating : 912/5 ( reviews)

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Book Synopsis Zeta and L-Functions of Varieties and Motives by : Bruno Kahn

Download or read book Zeta and L-Functions of Varieties and Motives written by Bruno Kahn. This book was released on 2020-05-07. Available in PDF, EPUB and Kindle. Book excerpt: The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.

Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves

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Author :
Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 734/5 ( reviews)

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Book Synopsis Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves by : Spencer J. Bloch

Download or read book Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves written by Spencer J. Bloch. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This is the long-awaited publication of the famous Irvine lectures. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more).

Zeta and L Functions

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Author :
Release : 1969
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Zeta and L Functions by : Jean-Pierre Serre

Download or read book Zeta and L Functions written by Jean-Pierre Serre. This book was released on 1969. Available in PDF, EPUB and Kindle. Book excerpt:

Motives

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Release : 1994-02-28
Genre : Mathematics
Kind : eBook
Book Rating : 987/5 ( reviews)

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Book Synopsis Motives by :

Download or read book Motives written by . This book was released on 1994-02-28. Available in PDF, EPUB and Kindle. Book excerpt: 'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.

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