Algebraic Introduction to Complex Projective Geometry

Name: Algebraic Introduction to Complex Projective Geometry
Brand: Cambridge University Press
SKU: 9780521480727
Price: 669.97 PLN
Availability: InStock

Commutative Algebra

Autor: Christian Peskine

Język:

Oprawa: Twarda

Wydawca: Cambridge University Press

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-18 dni

669.97 zł

In this introduction to commutative algebra, the author leads the beginning student through the esse...

Informacje o książce

Autor

Christian Peskine

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

1996

strony

244

EAN

9780521480727

ISBN

0521480728

Enbook ID

02032572

Wydawca

Cambridge University Press

Waga

544

Wymiary

249 x 162 x 22

Pełny opis

In this introduction to commutative algebra, the author leads the beginning student through the essential ideas, without getting embroiled in technicalities. The route chosen takes the reader quickly to the fundamental concepts for understanding complex projective geometry, the only prerequisites being a basic knowledge of linear and multilinear algebra and some elementary group theory. In the first part, the general theory of Noetherian rings and modules is developed. A certain amount of homological algebra is included, and rings and modules of fractions are emphasised, as preparation for working with sheaves. In the second part, the central objects are polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalisation lemma and Hilbert's Nullstellensatz, affine complex schemes and their morphisms are introduced; Zariski's main theorem and Chevalley's semi-continuity theorem are then proved. Finally, a detailed study of Weil and Cartier divisors provides a solid background for modern intersection theory. This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra.

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Algebraic Introduction to Complex Projective Geometry

Commutative Algebra

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