Semi-Stable Models of Modular Curves X0(p2) and Some Arithmetic Applications

dc.contributor.author	BANERJEE, DEBARGHA	en_US
dc.contributor.author	CHAUDHURI, CHITRABHANU	en_US
dc.date.accessioned	2021-04-09T05:28:30Z
dc.date.available	2021-04-09T05:28:30Z
dc.date.issued	2021-03	en_US
dc.identifier.citation	Israel Journal of Mathematics, 241, 583–622.	en_US
dc.identifier.issn	0021-2172	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5781
dc.identifier.uri	https://doi.org/10.1007/s11856-021-2107-3	en_US
dc.description.abstract	In this paper, we compute the semi-stable models of modular curves X0(p2) for oddprimes p > 3 and compute the Arakelov self-intersection numbers of the relative dualizing sheaves for these models. We give two arithmetic applications of our computations. In particular, we give an effective version of the Bogomolov conjecture following the strategy outlined by Zhang and find the stable Faltings heights of the arithmetic surfaces corresponding to these modular curves.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Mathematics	en_US
dc.subject	2021-APR-WEEK1	en_US
dc.subject	TOC-APR-2021	en_US
dc.subject	2021	en_US
dc.title	Semi-Stable Models of Modular Curves X0(p2) and Some Arithmetic Applications	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Israel Journal of Mathematics	en_US
dc.publication.originofpublisher	Foreign	en_US