Irregular Hodge Numbers for Rigid G2-Connections

Author:

Jakob Konstantin1,Reiter Stefan2

Affiliation:

1. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave, MA 02139, USA

2. Mathematisches Institut, Lehrstuhl für Zahlentheorie, Universität Bayreuth, 95440 Bayreuth, Germany

Abstract

Abstract Certain rigid irregular $G_2$-connections constructed by the 1st-named author are related via pullbacks along a finite covering and Fourier transform to rigid local systems on a punctured projective line. This kind of property was first observed by Katz for hypergeometric connections and used by Sabbah and Yu to compute irregular Hodge filtrations for hypergeometric connections. This strategy can also be applied to the aforementioned $G_2$-connections and we compute jumping indices and dimensions for their irregular Hodge filtrations.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference19 articles.

1. Rigid irregular connections on $\mathbb{P}^1$;Arinkin;Compos. Math.,2010

2. On symplectically rigid local systems of rank four and Calabi–Yau operators;Bogner;J. Symbolic Comput.,2012

3. Irregular Hodge filtration of some confluent hypergeometric systems;Domínguez;J. Inst. Math. Jussieu,2021

4. Un Théorème de Finitude Pour la Monodromie;Deligne,1987

5. Théorie de Hodge Irrégulière (Mars 1984 & Août 2006);Deligne,2007

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3