Derived Moduli of Complexes and Derived Grassmannians

Derived Moduli of Complexes and Derived Grassmannians

In the st part of this paper we construct a model structure for the category of ltered cochain complexes of modules over some commutative ring R and explain how the classical Rees construction relates this to the usual projective model structure over cochain complexes. The second part of the paper is devoted to the study of derived moduli of sheaves: we give a new proof of the representability ...

Framed Moduli and Grassmannians of Submodules

In this work we study a realization of moduli spaces of framed quiver representations as Grassmannians of submodules devised by Markus Reineke. Obtained is a generalization of this construction to finite dimensional associative algebras and for quivers with oriented cycles over an arbitrary infinite field. As an application we get an explicit realization of fibers for the moduli space bundle ov...

Bidentate Schiff Base derived from quinolone Ligands Oxovanadium (IV) Complexes

Grassmannians: the First Example of a Moduli

Example 1.1 (Example 1: The Grassmannian Functor.). Let S be a scheme, E a vector bundle on S and k a positive integer less than the rank of E. Let Gr(k, S, E) : {Schemes/S} � {sets} be the contravariant functor that associates to an S-scheme X subvector bundles of rank k of X ×S E. Example 1.2 (Example 2: The Hilbert Functor.). Let X � S be a projective scheme, O(1) a relatively ample line bun...

Drinfeld Moduli Schemes and Infinite Grassmannians

The aim of this paper is to construct an immersion of the Drinfeld moduli schemes in a finite product of infinite Grassmannians, such that they will be locally closed subschemes of these Grassmannians which represent a kind of flag varieties. This construction is derived from two results: the first is that the moduli functor of vector bundles with an ∞-formal level structure (defined below) ove...