First variation of holomorphic forms and some applications
type: Item
instance of: scholarly article
title: First variation of holomorphic forms and some applications
zbMATH Open document ID: 0897.32013
author: Bahman Khanedani
author: Tatsuo Suwa
published in: Hokkaido Mathematical Journal
publication date: 1998-10-05T00:00:00Z
review text: Consider a singular holomorphic foliation on a complex surface. Suppose \(C\) is a (possibly singular) invariant curve. One considers various local invariants, like the index and the variation of this foliation. Several formulas relating the total sum of these invariants to global invariants are (re)proved. For example, the total sum of the indices is equal to the self-intersection number of the curve \(C\). Relations with holonomy are discussed.
Mathematics Subject Classification ID: 32S65
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 37C85
zbMATH DE Number: 1054030
zbMATH Keywords: holomorphic foliation
zbMATH Keywords: local invariants
zbMATH Keywords: index
zbMATH Keywords: variation
zbMATH Keywords: global invariants
zbMATH Keywords: holonomy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1351257968
OpenAlex ID: W2094875972
DOI: 10.14492/HOKMJ/1351257968
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description: scientific article; zbMATH DE number 1054030