Hilbert schemes of $G$-orbits in dimension three
نویسندگان
چکیده
منابع مشابه
Mckay Correspondence and Hilbert Schemes in Dimension Three
Let G be a nontrivial finite subgroup of SLn(C). Suppose that the quotient singularity C/G has a crepant resolution π : X → C/G (i.e. KX = OX). There is a slightly imprecise conjecture, called the McKay correspondence, stating that there is a relation between the Grothendieck group (or (co)homology group) of X and the representations (or conjugacy classes) of G with a “certain compatibility” be...
متن کاملConstruction of G-Hilbert schemes
One objective of this paper is to provide a reference for certain fundamental constructions in the theory of G-Hilbert schemes. In this paper we review, extend and develop this theory, we introduce a relative version of G-Hilbert schemes, consider the morphism G-HilbX X/G and vary the base scheme. This allows to construct the G-Hilbert scheme as a scheme over the quotient, we replace the assump...
متن کامل$G$-Frames for operators in Hilbert spaces
$K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems on Hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator $K$ in a Hilbert space. Recently some generalizations of this concept are introduced and some of its difference with ordinary frames are studied. In this paper, we give a new ge...
متن کاملDuals and approximate duals of g-frames in Hilbert spaces
In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.
متن کاملMultipliers of continuous $G$-frames in Hilbert spaces
In this paper we introduce continuous $g$-Bessel multipliers in Hilbert spaces and investigate some of their properties. We provide some conditions under which a continuous $g$-Bessel multiplier is a compact operator. Also, we show the continuous dependency of continuous $g$-Bessel multipliers on their parameters.
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: Asian Journal of Mathematics
سال: 2000
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2000.v4.n1.a5