Journal of the Ramanujan Mathematical Society
Volume 29, Issue 1, March 2014 pp. 93–117.
Criteria for existence of stable parahoric SOn, Spn and Spin bundles on P1Authors: Yashonidhi Pandey
Author institution: Indian Institute of Science Education and Research, Mohali Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306, India
Summary: Let p: Y → X be a Galois cover of smooth projective curves over C with Galois group γ. This paper is devoted to the study of principal orthogonal and symplectic bundles E on Y to which the action of γ 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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