登入選單

返回Google圖書搜尋

Studies in Duality on Noetherian Formal Schemes and Non-Noetherian Ordinary Schemes

Leovigildo Alonso TarríoAna Jeremías LópezJoseph Lipman

出版	American Mathematical Soc., 1999
主題	Mathematics / CalculusMathematics / Geometry / AlgebraicMathematics / Mathematical AnalysisMathematics / Functional Analysis
ISBN	08218194299780821819425
URL	http://books.google.com.hk/books?id=6FYbCAAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

This volume contains three papers on the foundations of Grothendieck duality on Noetherian formal schemes and on not-necessarily-Noetherian ordinary schemes. The first paper presents a self-contained treatment for formal schemes which synthesizes several duality-related topics, such as local duality, formal duality, residue theorems, dualizing complexes, etc. Included is an exposition of properties of torsion sheaves and of limits of coherent sheaves. A second paper extends Greenlees-May duality to complexes on formal schemes. This theorem has important applications to Grothendieck duality. The third paper outlines methods for eliminating the Noetherian hypotheses. A basic role is played by Kiehl's theorem affirming conservation of pseudo-coherence of complexes under proper pseudo-coherent maps. This work gives a detailed introduction to the subject of Grothendieck Duality. The approach is unique in its presentation of a complex series of special cases that build up to the main results.