منابع مشابه
Arithmetic on abelian and Kummer varieties
A Kummer variety is obtained as the quotient of an abelian variety by the automorphism (−1) acting on it. Kummer varieties can be seen as a higher dimensional generalisation of the xcoordinate representation of a point of an elliptic curve given by its Weierstrass model. Although there is no group law on the set of points of a Kummer variety, the multiplication of a point by a scalar still make...
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Let (B,MB) denote a regular local ring of dimension two. Let H be a finite cyclic group acting on B, and let Z := Spec(B). Assume that the action of H on Spec(B) is free off the closed point, and thatMB is the only singular point of Z. Let f : X → Z be a resolution of the singularity, minimal with the property that the irreducible components of f(MB ) are smooth with normal crossings. Such a re...
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Let Xr be the moduli of SLn, SUn, GLn, or Un valued representations of a rank r free group. We classify the singular stratification of Xr. This comes down to showing that the singular locus corresponds exactly to reducible representations if there exist singularities at all. Additionally, we show that the moduli Xr are generally not topological manifolds, except for a few examples which we expl...
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ژورنال
عنوان ژورنال: Journal of Singularities
سال: 2020
ISSN: 1949-2006
DOI: 10.5427/jsing.2020.20m