T.Y. Lam Serre`s Problem on Projective Modules 9783642062353

Варианты приобретения

Цена: 10366.00р.
Кол-во:
Наличие: Поставка под заказ. Есть в наличии на складе поставщика.
Склад Америка: Есть
При оформлении заказа до: 2026-06-01
Ориентировочная дата поставки: Июль
При условии наличия книги у поставщика.

Добавить в корзину

в Мои желания

Автор: T.Y. Lam
Название: Serre`s Problem on Projective Modules
ISBN: 9783642062353
Издательство: Springer
Классификация: ISBN-10: 3642062350
Обложка/Формат: Paperback
Страницы: 401
Вес: 0.59 кг.
Дата издания: 2006
Серия: Springer Monographs in Mathematics
Язык: English
Размер: 254 x 178 x 22
Читательская аудитория: Science
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: Serres Conjecture, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k x, . . ., x], where k is a ?eld. This statement was motivated by the fact that 1 n the af?ne scheme de?ned by k x, . . ., x] is the algebro-geometric analogue of 1 n the af?ne n-space over k. In topology, the n-space is contractible, so there are only trivial bundles over it. Would the analogue of the latter also hold for the n-space in algebraic geometry? Since algebraic vector bundles over Speck x, . . ., x] corre- 1 n spond to ?nitely generated projective modules over k x, . . ., x], the question was 1 n tantamount to whether such projective modules were free, for any base ?eld k. ItwasquiteclearthatSerreintendedhisstatementasanopenproblemintheshe- theoretic framework of algebraic geometry, which was just beginning to emerge in the mid-1950s. Nowhere in his published writings had Serre speculated, one way or another, upon the possible outcome of his problem. However, almost from the start, a surmised positive answer to Serres problem became known to the world as Serres Conjecture. Somewhat later, interest in this Conjecture was further heightened by the advent of two new (and closely related) subjects in mathematics: homological algebra, and algebraic K-theory.

Serre`s Problem on Projective Modules, T.Y. Lam