Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Criteria for existence of stable parahoric SOn, Spn and Spin bundles on P1


Affiliations
1 Indian Institute of Science Education and Research, Mohali Knowledge City, Sector 81, SAS Nagar, Manauli PO 140306, India
     

   Subscribe/Renew Journal


Let p : Y → X be a Galois cover of smooth projective curves over C with Galois group . This paper is devoted to the study of principal orthogonal and symplectic bundles E on Y to which the action of on Y lifts. We notably describe them intrinsically in terms of objects defined on X and call these objects parahoric bundles. We give necessary and sufficient conditions for the non-emptiness of the moduli of stable (and semi-stable) parahoric special orthogonal, symplectic and spin bundles on the projective line P1.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 170

PDF Views: 0




  • Criteria for existence of stable parahoric SOn, Spn and Spin bundles on P1

Abstract Views: 170  |  PDF Views: 0

Authors

Yashonidhi Pandey
Indian Institute of Science Education and Research, Mohali Knowledge City, Sector 81, SAS Nagar, Manauli PO 140306, India

Abstract


Let p : Y → X be a Galois cover of smooth projective curves over C with Galois group . This paper is devoted to the study of principal orthogonal and symplectic bundles E on Y to which the action of on Y lifts. We notably describe them intrinsically in terms of objects defined on X and call these objects parahoric bundles. We give necessary and sufficient conditions for the non-emptiness of the moduli of stable (and semi-stable) parahoric special orthogonal, symplectic and spin bundles on the projective line P1.