An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra: 47 (Cambridge Studies in Advanced Mathematics, Series Number 47) - Tapa blanda

Peskine, Christian

 
9780521108478: An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra: 47 (Cambridge Studies in Advanced Mathematics, Series Number 47)

Sinopsis

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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Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

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Otras ediciones populares con el mismo título

9780521480727: An Algebraic Introduction to Complex Projective Geometry Hardback: Commutative Algebra: 1 (Cambridge Studies in Advanced Mathematics, Series Number 47)

Edición Destacada

ISBN 10:  0521480728 ISBN 13:  9780521480727
Editorial: Cambridge University Press, 1996
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