Characterization of genuine ramification using formal orbifolds

Authors

Indranil Biswas, Shiv Nadar Institution of Eminence deemed to be University
Manish Kumar, Indian Statistical Institute Bangalore
A. J. Parameswaran, Tata Institute of Fundamental Research, Mumbai

Article Type

Research Article

Publication Title

Arkiv for Matematik

Abstract

We give a characterization of genuinely ramified maps of formal orbifolds in the Tannakian framework. In particular we show that a morphism is genuinely ramified if and only if the pullback of every stable bundle remains stable in the orbifold category. We also give some other characterizations of genuine ramification. This generalizes the results of [BKP1] and [BP1]. In fact, it is a positive characteristic analogue of results in [BKP2].

First Page

369

Last Page

385

DOI

10.4310/ARKIV.2024.v62.n2.a3

Publication Date

1-1-2024

Comments

Open Access; Gold Open Access; Green Open Access

Recommended Citation

Biswas, Indranil; Kumar, Manish; and Parameswaran, A. J., "Characterization of genuine ramification using formal orbifolds" (2024). Journal Articles. 4645.
https://digitalcommons.isical.ac.in/journal-articles/4645