عنوان

Introduction to singularities /

شابک

4431568379

شابک

4431568387

شابک

9784431568377

شابک

9784431568384

شابک اشتباه

4431568360

شابک اشتباه

9784431568360

عنوان اصلي

Introduction to singularities /

نام عام مواد

[Book]

نام نخستين پديدآور

Shihoko Ishii.

وضعيت ويراست

Second edition.

محل نشرو پخش و غیره

Tokyo :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (x, 236 pages) :

ساير جزييات

illustrations

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

1. Sheaves, algebraic varieties and analytic spaces -- 2. Homological algebra and duality -- 3. Singularities, algebraization and resolutions of singularities -- 4. Divisors on a variety and the corresponding sheaves -- 5. Differential forms around the singularities -- 6. Two dimensional singularities -- 7. Higher dimensional singularities -- 8. Deformations of singularities.

بدون عنوان

0

متن يادداشت

This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous workDiscours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians' works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.--

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9784431568377

شماره استاندارد بين المللي کتاب و موسيقي

9784431568360

شماره استاندارد بين المللي کتاب و موسيقي

9784431568384

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Singularities (Mathematics)

موضوع مستند نشده

Algebraic Geometry.

موضوع مستند نشده

Associative Rings and Algebras.

موضوع مستند نشده

Commutative Rings and Algebras.

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Algebraic geometry.

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Mathematics-- Algebra-- Abstract.

موضوع مستند نشده

Mathematics-- Geometry-- Algebraic.

موضوع مستند نشده

Singularities (Mathematics)

موضوع مستند نشده

MAT012010

موضوع مستند نشده

PBMW

موضوع مستند نشده

PBMW

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Ishii, Shihoko

تاريخ عمليات

20200823200138.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y