عنوان

Birational Geometry, Rational Curves, and Arithmeti

شابک

9781461464822

کد کشور

IR

شماره

EN-52447

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Birational Geometry, Rational Curves, and Arithmeti

نام عام مواد

[Book]

ساير اطلاعات عنواني

:[delta

نام نخستين پديدآور

/ edited by Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel

محل نشرو پخش و غیره

New York, NY

نام ناشر، پخش کننده و غيره

: Springer New York :Imprint: Springer,

تاریخ نشرو بخش و غیره

, 2013.

نام خاص و کميت اثر

XII, 320 p. 21 illus., online resource.

متن يادداشت

Electronic

متن يادداشت

This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program.

متن يادداشت

Foreword -- Introduction.-A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces -- F. Bogomolov and Ch. B?╢hning, Isoclinism and stable cohomology of wreath products -- F. Bogomolov, I. Karzhemanov, and K. Kuyumzhiyan, Unirationality and existence of infinitely transitive models -- I. Cheltsov, L. Katzarkov, and V. Przyjalkowski, Birational geometry via moduli spaces -- O. Debarre, Curves of low degrees on projective varieties -- S. Kebekus, Uniruledness criteria and applications -- S. Kov??cs, The cone of curves of K3 surfaces revisited -- V. Lazi??, Around and beyond the canonical class -- C. Liedtke, Algebraic surfaces in positive characteristic -- A. Varilly-Alvarado, Arithmetic of Del Pezzo surfaces.?╗╣

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Geometry, algebraic

موضوع مستند نشده

Geometry

موضوع مستند نشده

Number theory

موضوع مستند نشده

Electronic books

شماره رده

مستند نام اشخاص تاييد نشده

Bogomolov, Fedor.

مستند نام اشخاص تاييد نشده

Hassett, Brendan

مستند نام اشخاص تاييد نشده

Tschinkel, Yuri

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9781461464815.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9781461464815.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y