Download Néron Models and Base Change (Lecture Notes in Mathematics) by Lars Halvard Halle,Johannes Nicaise PDF

By Lars Halvard Halle,Johannes Nicaise

Presenting
the first systematic therapy of the habit of Néron versions less than ramified
base swap, this ebook should be learn as an creation to varied subtle
invariants and buildings relating to Néron versions of semi-abelian varieties,
motivated by means of concrete learn difficulties and complemented with explicit
examples.  

Néron types of abelian and
semi-abelian kinds became an essential instrument in algebraic and
arithmetic geometry for the reason that Néron brought them in his seminal 1964 paper.
Applications diversity from the speculation of heights in Diophantine geometry to Hodge
theory. 

We concentration in particular on Néron part teams, Edixhoven’s filtration
and the bottom swap conductor of Chai and Yu, and we research those invariants
using a variety of innovations corresponding to versions of curves, sheaves on Grothendieck
sites and non-archimedean uniformization. We then follow our effects to the
study of motivic zeta services of abelian types. the ultimate chapter
contains an inventory of tough open questions. This e-book is aimed towards
researchers with a history in algebraic and mathematics geometry.

Show description

Read or Download Néron Models and Base Change (Lecture Notes in Mathematics) PDF

Best number theory books

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

The booklet presents a self-contained advent to classical Number conception. all of the proofs of the person theorems and the recommendations of the routines are being awarded step-by-step. a few old comments also are offered. The publication might be directed to complex 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 publication on any mathematical topic past the textbook point is of little worth except it includes new rules and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are offered in addition to identified outdated ends up in a transparent exposition. it truly is with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta features are outlined for genuine unfavourable numbers as analytic continuation. within the current ebook the writer defines new sequence for zeta and eta services, for actual unfavorable and imaginary numbers with out analytic continuation. the hot zeta and eta features retain the nature of harmonic sequence and alternating harmonic sequence respectively for actual adverse numbers, as for actual confident 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 recommendations for linear algebraic teams, this ebook combines in a single unmarried textual content either an creation to the fundamental concept of linear algebraic teams and a considerable number of worthy algorithms. Computation with Linear Algebraic teams deals a useful consultant to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational workforce concept, in addition to these trying to find a concise creation to the idea of linear algebraic teams.

Additional resources for Néron Models and Base Change (Lecture Notes in Mathematics)

Example text

Download PDF sample

Rated 4.66 of 5 – based on 10 votes