Moduli of filtered quiver representations
نویسندگان
چکیده
منابع مشابه
Stratifications for Moduli of Sheaves and Moduli of Quiver Representations
We study the relationship between two stratifications on parameter spaces for coherent sheaves and for quiver representations: a stratification by Harder–Narasimhan types and a stratification arising from the geometric invariant theory construction of the associated moduli spaces of semistable objects. For quiver representations, both stratifications coincide, but this is not quite true for she...
متن کاملProjective Toric Varieties as Fine Moduli Spaces of Quiver Representations
This paper proves that every projective toric variety is the fine moduli space for stable representations of an appropriate bound quiver. To accomplish this, we study the quiver Q with relations R corresponding to the finite-dimensional algebra End (⊕ r i=0 Li ) where L := (OX , L1, . . . , Lr) is a list of line bundles on a projective toric variety X . The quiver Q defines a unimodular, projec...
متن کاملModuli of Mckay Quiver Representations Ii: Gröbner Basis Techniques
In this paper we introduce several computational techniques for the study of moduli spaces of McKay quiver representations, making use of Gröbner bases and toric geometry. For a finite abelian group G ⊂ GL(n, k), let Yθ be the coherent component of the moduli space of θ-stable representations of the McKay quiver. Our two main results are as follows: we provide a simple description of the quiver...
متن کاملOn Moduli Spaces of Quiver Representations Associated with Brane Tilings
Brane tilings are introduced by string theorists to study four-dimensional N = 1 superconformal field theories. See e.g. a review by Kennaway [5] and references therein for a physical background. A brane tiling is a bipartite graph on a real two-torus which encodes the information of a quiver with relations. A typical example of such a quiver is the McKay quiver determined by a finite abelian s...
متن کاملOn Moduli Spaces of Quiver Representations Associated with Dimer Models
Dimer models are introduced by string theorists to study four-dimensional N = 1 superconformal field theories. See e.g. a review by Kennaway [5] and references therein for a physical background. A dimer model is a bipartite graph on a real two-torus which encodes the information of a quiver with relations. A typical example of such a quiver is the McKay quiver determined by a finite abelian sub...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2020
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2020.102899