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On the relative logarithmic connections and relative residue formula

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dc.contributor.authorMisra, Snehajit
dc.contributor.authorSingh, Anoop
dc.date.accessioned2024-02-23T07:05:02Z
dc.date.available2024-02-23T07:05:02Z
dc.date.issued2022-10-20
dc.descriptionThis paper published with affiliation IIT (BHU), Varanasi in open access mode.en_US
dc.description.abstractWe investigate the relative logarithmic connections on a holomorphic vector bundle over a complex analytic family. We give a sufficient condition for the existence of a relative logarithmic connection on a holomorphic vector bundle singular over a relative simple normal crossing divisor. We define the relative residue of relative logarithmic connection and express relative Chern classes of a holomorphic vector bundle in terms of relative residues.en_US
dc.description.sponsorshipThe first author is supported financially by SERB-NPDF fellowship (File no: PDF/2021/00028). The authors would like to thank Prof. Mainak Poddar for a careful reading of the manuscript and pointing out a mistake in an earlier version of the paper. The authors thank Indian Institute of Technology, Bombay (IITB) and Tata Institute of Fundamental Research, Mumbai for the hospitality where most of the work has been done.en_US
dc.identifier.issn00927872
dc.identifier.urihttp://localhost:8080/xmlui/handle/123456789/2969
dc.identifier.urihttps://idr-sdlib.iitbhu.ac.in/handle/123456789/2969
dc.language.isoenen_US
dc.publisherTaylor and Francis Ltd.en_US
dc.relation.ispartofseriesCommunications in Algebra;51
dc.subjectRelative Chern classen_US
dc.subjectrelative logarithmic connectionen_US
dc.subjectrelative residueen_US
dc.titleOn the relative logarithmic connections and relative residue formulaen_US
dc.typeArticleen_US

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