Arakelov self-intersection numbers of minimal regular models of modular curves X0(p2)

BANERJEE, DEBARGHA; BORAH, DIGANTA; CHAUDHURI, CHITRABHANU

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dc.contributor.author	BANERJEE, DEBARGHA	en_US
dc.contributor.author	BORAH, DIGANTA	en_US
dc.contributor.author	CHAUDHURI, CHITRABHANU	en_US
dc.date.accessioned	2020-02-26T06:40:40Z
dc.date.available	2020-02-26T06:40:40Z
dc.date.issued	2020-12	en_US
dc.identifier.citation	Mathematische Zeitschrift, 296, (3-4), 1287–1329.	en_US
dc.identifier.issn	0025-5874	en_US
dc.identifier.issn	1432-1823	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4449
dc.identifier.uri	https://doi.org/10.1007/s00209-020-02480-1	en_US
dc.description.abstract	We compute an asymptotic expression for the Arakelov self-intersection number of the relative dualizing sheaf of Edixhoven’s minimal regular model for the modular curve X0(p2) over Q. The computation of the self-intersection numbers are used to prove an effective version of the Bogolomov conjecture for the semi-stable models of modular curves X0(p2) and obtain a bound on the stable Faltings height for those curves in a companion article (Banerjee and Chaudhuri in Isr J Math, 2020).	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Arakelov theory	en_US
dc.subject	Heights	en_US
dc.subject	Eisenstein series	en_US
dc.subject	2020	en_US
dc.subject	TOC-MAR-2020	en_US
dc.subject	2020-MAR-WEEK1	en_US
dc.title	Arakelov self-intersection numbers of minimal regular models of modular curves X0(p2)	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Mathematische Zeitschrift	en_US
dc.publication.originofpublisher	Foreign	en_US