Algebraic Introduction to Complex Projective Geometry

Name: Algebraic Introduction to Complex Projective Geometry
Brand: Cambridge University Press
SKU: 9780521108478
Price: 371.58 RON
Availability: InStock

Commutative Algebra

Autor: Christian Peskine

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Legare: Carte broșată

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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371.58 lei

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

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Autor

Christian Peskine

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2009

Pagini

244

EAN

9780521108478

ISBN

0521108470

Enbook ID

02022042

Editura

Cambridge University Press

Greutate

370

Dimensiuni

229 x 153 x 22

Descriere completă

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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