Residues of regular and meromorphic differential forms
type: Item
instance of: scholarly article
title: Residues of regular and meromorphic differential forms
zbMATH Open document ID: 0814.14022
DOI: 10.1007/BF01450504
author: Reinhold Hübl
published in: Mathematische Annalen
publication date: 1995-06-20T00:00:00Z
full work available at URL: https://eudml.org/doc/165270
review text: For varieties over perfect fields residues of differential forms can be constructed both cohomologically and using higher dimensional local fields. Related to the two types of residues are two constructions of residual complexes. We will exhibit an explicit isomorphism between the two constructions, thus obtaining also a relation between the two types of residues and the integrals derived from them. Using this we can compare various results of the different residue theories, and we can combine them to prove a generalization of a theorem of Newton on the centroids of the intersection schemes of two plane curves.
Mathematics Subject Classification ID: 14F10
Mathematics Subject Classification ID: 13N10
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 32A27
zbMATH DE Number: 734589
zbMATH Keywords: meromorphic differential forms
zbMATH Keywords: residues of differential forms
zbMATH Keywords: residual complexes
zbMATH Keywords: intersection schemes
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 734589