Moduli of parabolic sheaves and filtered Kronecker modules

Abstract

We give functorial moduli construction of pure parabolic sheaves, in the sense of Alvarez-Consul and A. King, using the moduli of filtered Kronecker modules we introduced in our earlier work. We also use a version of S. G. Langton's result due to K. Yokogawa to deduce the projectivity of moduli of pure parabolic sheaves of maximal dimension. As an application of functorial moduli construction, we can get the morphisms at the level of moduli stacks.

27 pages, Some notations are changed for consistency, and relevant statements in Section 3 are corrected

References in corpus (5)

• A functorial construction of moduli of sheaves
• Variation of Gieseker moduli spaces via quiver GIT
• Fibrés paraboliques et champ des racines
• Notes on GIT-fans for quivers
• Moduli of filtered quiver representations

Cited by in corpus (1)

• Moduli of filtered quiver representations