Weighted Projective Lines as Fine Moduli Spaces of Quiver Representations
نویسندگان
چکیده
منابع مشابه
Projective 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 کاملPROJECTIVE TORIC VARIETIES AS FINE MODULI SPACES OF QUIVER REPRESENTATIONS By ALASTAIR CRAW and GREGORY
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 smooth projective to...
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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...
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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 کاملRational Points of Quiver Moduli Spaces
For a perfect field k, we study actions of the absolute Galois group of k on the k-valued points of moduli spaces of quiver representations over k; the fixed locus is the set of k-rational points and we obtain a decomposition of this fixed locus indexed by elements in the Brauer group of k. We provide a modular interpretation of this decomposition using quiver representations over division alge...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2014
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2013.842245