یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
Prologue: p-adic integration -- The Grothendieck ring of varieties -- Arc schemes -- Greenberg schemes -- Structure theorems for Greenberg schemes -- Motivic integration -- Applications.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since"--Publisher's description.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9781493978878
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Motivic integration.
شماره استاندارد بين المللي کتاب و موسيقي
9781493978854
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Motives (Mathematics)
موضوع مستند نشده
Algebraic geometry.
موضوع مستند نشده
Algebraic topology.
موضوع مستند نشده
MATHEMATICS-- Geometry-- General.
موضوع مستند نشده
Motives (Mathematics)
مقوله موضوعی
موضوع مستند نشده
MAT-- 012000
رده بندی ديویی
شماره
516
.
3/5
ويراست
23
رده بندی کنگره
شماره رده
QA564
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )