Moduli space of principal sheaves over projective varieties

Abstract

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.

48 pages, LaTex2e (Improved exposition)

Cited by in corpus (2)

• Extension of structure groups of principal bundles in positive characteristic
• Moduli of Principal Bundles in Positive Characteristic