منابع مشابه
Counting rational points of quiver moduli
It is shown that rational points over finite fields of moduli spaces of stable quiver representations are counted by polynomials with integer coefficients. These polynomials are constructed recursively using an identity in the Hall algebra of a quiver.
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...
متن کاملCounting Rational Points on Hypersurfaces
For any n ≥ 2, let F ∈ Z[x1, . . . , xn] be a form of degree d ≥ 2, which produces a geometrically irreducible hypersurface in P. This paper is concerned with the number N(F ; B) of rational points on F = 0 which have height at most B. For any ε > 0 we establish the estimate N(F ; B) = O(B), whenever either n ≤ 5 or the hypersurface is not a union of lines. Here the implied constant depends at ...
متن کاملCounting Lattice Points of Rational Polyhedra
The generating function F (P ) = ∑ α∈P∩ZN xα for a rational polytope P carries all essential information of P . In this paper we show that for any positive integer n, the generating function F (P, n) of nP = {nx : x ∈ P} can be written as F (P, n) = ∑ α∈A Pα(n)x, where A is the set of all vertices of P and each Pα(n) is a certain periodic function of n. The Ehrhart reciprocity law follows autom...
متن کاملLocalization in quiver moduli
The fixed point set under a natural torus action on projectivized moduli spaces of simple representations of quivers is described. As an application, the Euler characteristic of these moduli is computed.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2006
ISSN: 1073-7928,1687-0247
DOI: 10.1155/imrn/2006/70456