Moduli space of principal sheaves over projective varieties

Mathematics – Algebraic Geometry

Scientific paper

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48 pages, LaTex2e (Improved exposition)

Scientific paper

Let G be a connected reductive group. The late Ramanathan gave a notion of
(semi)stable principal G-bundle on a complex projective curve and constructed a
projective moduli space of such objects. We generalize Ramanathan's notion and
construction to the case of higher dimension, allowing also objects which we
call semistable principal G-sheaves.

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