On the relative logarithmic connections and relative residue formula

Misra, Snehajit; Singh, Anoop

dc.contributor.author	Misra, Snehajit
dc.contributor.author	Singh, Anoop
dc.date.accessioned	2024-02-23T07:05:02Z
dc.date.available	2024-02-23T07:05:02Z
dc.date.issued	2022-10-20
dc.identifier.issn	00927872
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/2969
dc.description	This paper published with affiliation IIT (BHU), Varanasi in open access mode.	en_US
dc.description.abstract	We 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.sponsorship	The 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.language.iso	en	en_US
dc.publisher	Taylor and Francis Ltd.	en_US
dc.relation.ispartofseries	Communications in Algebra;51
dc.subject	Relative Chern class	en_US
dc.subject	relative logarithmic connection	en_US
dc.subject	relative residue	en_US
dc.title	On the relative logarithmic connections and relative residue formula	en_US
dc.type	Article	en_US