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Intersection theory for loaded cycles IV — resonant cases
Author(s) -
Mimachi Katsuhisa,
Ochiai Hiroyuki,
Yoshida Masaaki
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310105
Subject(s) - mathematics , intersection (aeronautics) , homology (biology) , intersection homology , pure mathematics , plane (geometry) , mathematical analysis , geometry , combinatorics , chemistry , biochemistry , cohomology , gene , engineering , aerospace engineering
Abstract We study the structure of the twisted homology groups attached to weighted lines in the plane with resonant singular points, and find possible intersection pairings. As a typical example, we treat homology groups attached to 2‐dimensional Selberg‐type integrals.