Journal of the Ramanujan Mathematical Society

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


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

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

Abstract Views: 246  |  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.