1.

Record Nr.

UNINA9910452750903321

Titolo

Torsors, étale homotopy and applications to rational points / / edited by Alexei N. Skorobogatov [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2013

ISBN

1-139-89193-6

1-139-52535-2

1-107-24806-X

1-107-25055-2

1-107-25138-9

1-107-24188-X

1-107-24889-2

1-107-24972-4

Descrizione fisica

1 online resource (ix, 459 pages) : digital, PDF file(s)

Collana

London Mathematical Society lecture note series ; ; 405

Disciplina

512

Soggetti

Torsion theory (Algebra)

Homotopy theory

Rational points (Geometry)

Homogeneous spaces

Geometry, Algebraic

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

"The workshop 'Torsors: theory and applications' took place at the International Centre for Mathematical Sciences in Edinburgh from 10-14 January 2011 ... This collection contains the lecture notes of two mini-courses presented at the workshop by Jürgen Hausen and Vera Serganova, as well as the papers contributed by participants"--Preface.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Lecture notes: Three lectures on Cox rings / J. Hausen. A very brief introduction to étale homotopy / T.M. Schlank and A.N. Skorobogatov. Torsors and representation theory of reductive groups / V. Serganova -- Contributed papers: Torsors over Luna strata / I.V. Arzhantsev. Abélianisation des espaces homogènes et applications arithmétiques / C. Demarche. Gaussian rational points on a singular cubic surface / U.



Derenthal and F. Janda. Actions algébriques de groupes arithmétiques / P. Gille and L. Moret-Bailly. Descent theory for open varieties / D. Harari and A.N. Skorobogatov. Homotopy obstructions to rational points / Y. Harpaz and T.M. Schlank. Factorially graded rings of complexity one / J. Hausen and E. Herppich. Nef and semiample divisors on rational surfaces / A. Laface and D. Testa. Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface / T. Preu.

Sommario/riassunto

Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer-Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry.



2.

Record Nr.

UNISA990000567320203316

Titolo

Amalfi nel Medioevo : convegno internazionale, 14-16 giugno 1973

Pubbl/distr/stampa

Salerno, : [s.n.], 1977

Descrizione fisica

419 p., [11] carte di tav. : ill. ; 24 cm

Collana

Atti dei convegni / Centro studi salernitani Raffaele Guariglia ; 1

Disciplina

945.7423

Soggetti

Amalfi - Medioevo - Atti di congressi

Collocazione

XV.1.A. 546(V G 516)

XVII 2268(V A AMA)

XV.22.C. 16

Lingua di pubblicazione

Italiano

Inglese

Francese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Tenuto ad Amalfi e a Salerno

Sul frontespizio: Sotto il patronato della Provincia di Salerno e della Regione Campania