منابع مشابه
Rational 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 کاملThe Inverse Galois Problem and Rational Points on Moduli Spaces
We reduce the regular version of the Inverse Galois Problem for any finite group G to finding one rational point on an infinite sequence of algebraic varieties. As a consequence, any finite group G is the Galois group of an extension L/P (x) with L regular over any PAC field P of characteristic zero. A special case of this implies that G is a Galois group over Fp(x) for almost all primes p.
متن کاملCounting 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 کاملAmple Divisors on Moduli Spaces of Pointed Rational Curves
We introduce a new technique for proving positivity of certain divisor classes on M0,n and its weighted variants M0,A. Our methods give a complete description of the models arising in the Hassett’s log minimal model program for M0,n.
متن کاملExotic Holonomy on Moduli Spaces of Rational Curves
Bryant [Br] proved the existence of torsion free connections with exotic holonomy, i.e. with holonomy that does not occur on the classical list of Berger [Ber]. These connections occur on moduli spaces Y of rational contact curves in a contact threefold W. Therefore, they are naturally contained in the moduli space Z of all rational curves in W. We construct a connection on Z whose restriction ...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2021
ISSN: 1029-8479
DOI: 10.1007/jhep04(2021)067