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System of Hodge Bundles and Generalized Opers on Smooth Projective Varieties
Let be an algebraically closed field of any characteristic. Let be a
polarized irreducible smooth projective algebraic variety over . We give
criterion for semistability and stability of system of Hodge bundles on . We
define notion of generalized opers on , and prove semistability of the Higgs
bundle associated to generalized opers. We also show that existence of partial
oper structure on a vector bundle together with a connection over
implies semistability of the pair .Comment: Typos corrected, acknowledgement added. To appear in the Journal of
Geometry and Physic
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