On an Isomorphism of Compactifications of Moduli Scheme of Vector Bundles

Modelirovanie i Analiz Informacionnyh Sistem

N. V. Timofeeva¹ 

[1] Ярославский государственный университет им. П. Г. Демидова;

关键词: semistable admissible pairs;    moduli functor;    vector bundles;    algebraic surface;   

DOI  :  10.18255/1818-1015-2012-1-37-51

来源: DOAJ

【 摘 要 】

A morphism of the reduced Gieseker - Maruyama moduli functor (of semistable coherent torsion-free sheaves) on the surface to the reduced moduli functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. It is shown that main components of reduced moduli scheme for semistable admissible pairs ((eS; eL); eE) are isomorphic to main components of the reduced Gieseker - Maruyama moduli scheme.

【 授权许可】

Unknown