عنوان

Introduction to algebraic geometry /

شابک

1470435187

شابک

9781470435189

عنوان اصلي

Introduction to algebraic geometry /

نام عام مواد

[Book]

نام نخستين پديدآور

Steven Dale Cutkosky.

محل نشرو پخش و غیره

Providence, Rhode Island :

نام ناشر، پخش کننده و غيره

American Mathematical Society,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

xii, 484 pages ;

ابعاد

27 cm.

عنوان فروست

Graduate studies in mathematics ;

مشخصه جلد

188

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Introduction -- A crash course in commutative algebra -- Affine varieties -- Projective varieties -- Regular and rational maps of quasi projective varieties -- Products -- The blow up of an ideal -- Finite maps of quasi projective varieties -- Dimension of quasi projective algebraic sets -- Zariski's main theorem -- Nonsingularity -- Sheaves -- Applications to regular and rational maps -- Divisors -- Dierential forms and the canonical divisor -- Schemes -- The degree of a projective variety -- Cohomology -- Curves -- An introduction to intersection theory -- Surfaces -- Ramication and etale maps -- Bertini's theorems and general fibers of maps.

بدون عنوان

0

متن يادداشت

This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic 0 and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.

عنوان اصلي به زبان ديگر

Algebraic geometry

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Algebraic geometry -- Instructional exposition (textbooks, tutorial papers, etc.).

موضوع مستند نشده

Algebraische Geometrie

موضوع مستند نشده

Geometrische Algebra

موضوع مستند نشده

Geometry, Algebraic.

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

شماره رده

کد سيستم

کد سيستم

مستند نام اشخاص تاييد نشده

Cutkosky, Steven Dale

تاريخ عمليات

20200823025749.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y