Serre duality for rigid analytic spaces
type: Item
instance of: scholarly article
title: Serre duality for rigid analytic spaces
zbMATH Open document ID: 0762.32016
DOI: 10.1016/0019-3577(92)90011-9
author: M. van der Put
published in: Indagationes Mathematicae. New Series
publication date: 1992-12-15T00:00:00Z
review text: From the abstract: ``A duality theory for morphisms \(X\to Y\) of rigid analytic spaces over some nonarchimedean valued complete field \(K\) is developed. As one expects the paper is rather technical in nature and the results are not surprising''.
Mathematics Subject Classification ID: 32P05
Mathematics Subject Classification ID: 32C37
zbMATH DE Number: 78093
zbMATH Keywords: rigid analytic spaces
zbMATH Keywords: Serre duality
reviewed by: S. Ivashkovich
MaRDI profile type: Publication
full work available at URL: 0019-3577(92)90011-9
OpenAlex ID: W2016634270
cites work: Q3325851
cites work: Q4119435
cites work: Q3972364
cites work: Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
cites work: Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie
cites work: Theorem A und B in der nichtarchimedischen Funktionentheorie
cites work: Q5680385
cites work: Formal-algebraic and rigid-analytic geometry
cites work: Q3952236
Recommended article: Q4346737
Recommended article: Q4356536
Recommended article: On Serre-duality for coherent sheaves on rigid-analytic spaces
Recommended article: Explicit Serre duality on complex spaces
Recommended article: Q3488746
Recommended article: The Serre duality theorem for Riemann surfaces
Recommended article: Q3972364
Recommended article: $$L^2$$ -Serre Duality on Singular Complex Spaces and Applications
Recommended article: Rigid analytic Picard theorems
Recommended article: Serre--Taubes duality for pseudoholomorphic curves
description: scientific article; zbMATH DE number 78093