Local cohomology
Subtitle: an algebraic introduction with geometric applications
By: M.P. Brodmann, R.Y. Sharp.
Contributors: Sharp, R. Y.
Series: Cambridge studies in advanced mathematics ;; 60
Publisher: Cambridge University Press
Published: 1998
Place of publication: Cambridge, U.K; New York
Language: eng
Number of pages: 416
Subjects: Algebra, Homological.; Sheaf theory.; Commutative algebra.
Description: This book provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, and provides many illustrations of applications of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Castelnuovo–Mumford regularity, the Fulton–Hansen connectedness theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. It is designed for graduate students who have some experience of basic commutative algebra and homological algebra, and also for experts in commutative algebra and algebraic geometry.
Notes: Includes bibliographical references and index.