Download Periods and Nori Motives (Ergebnisse der Mathematik und by Annette Huber,Stefan Müller-Stach,Benjamin Friedrich,Jonas PDF

By Annette Huber,Stefan Müller-Stach,Benjamin Friedrich,Jonas von Wangenheim

This booklet casts the speculation of sessions of algebraic types within the average atmosphere of Madhav Nori’s abelian class of combined reasons. It develops Nori’s method of combined factors from scratch, thereby filling an immense hole within the literature, after which explains the relationship of combined factors to sessions, together with an in depth account of the idea of interval numbers within the experience of Kontsevich-Zagier and their structural properties.
Period numbers are imperative to quantity thought and algebraic geometry, and in addition play a tremendous position in different fields corresponding to mathematical physics. There are long-standing conjectures approximately their transcendence houses, top understood within the language of cohomology of algebraic kinds or, extra often, factors. Readers of this e-book will observe that Nori’s unconditional building of an abelian classification of explanations (over fields embeddable into the advanced numbers) is very well matched for this objective. particularly, Kontsevich's formal interval algebra represents a torsor less than the motivic Galois team in Nori's experience, and the interval conjecture of Kontsevich and Zagier will be recast during this setting.
Periods and Nori Motives is very informative and may attract graduate scholars attracted to algebraic geometry and quantity thought in addition to researchers operating in comparable fields. Containing suitable heritage fabric on themes comparable to singular cohomology, algebraic de Rham cohomology, diagram different types and inflexible tensor different types, in addition to many fascinating examples, the general presentation of this publication is self-contained.

Show description

Read Online or Download Periods and Nori Motives (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) PDF

Similar number theory books

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

The e-book offers a self-contained creation to classical Number conception. the entire proofs of the person theorems and the suggestions of the routines are being provided step-by-step. a few old feedback also are awarded. The publication could be directed to complicated undergraduate, starting graduate scholars in addition to to scholars who organize for mathematical competitions (ex.

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

A ebook on any mathematical topic past the textbook point is of little worth until it comprises new rules and new views. It is helping to incorporate new effects, only if they offer the reader new insights and are provided in addition to recognized outdated ends up in a transparent exposition. it's with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta services are outlined for genuine damaging numbers as analytic continuation. within the current e-book the writer defines new sequence for zeta and eta features, for actual detrimental and imaginary numbers with no analytic continuation. the hot zeta and eta features retain the nature of harmonic sequence and alternating harmonic sequence respectively for actual unfavourable numbers, as for actual optimistic numbers.

Computation with Linear Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Designed as a self-contained account of a couple of key algorithmic difficulties and their ideas for linear algebraic teams, this publication combines in a single unmarried textual content either an advent to the fundamental thought of linear algebraic teams and a considerable selection of worthwhile algorithms. Computation with Linear Algebraic teams deals a useful advisor to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational staff concept, in addition to these trying to find a concise creation to the speculation of linear algebraic teams.

Additional info for Periods and Nori Motives (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

Sample text

Download PDF sample

Rated 4.14 of 5 – based on 13 votes