منابع مشابه
Kummer Coverings and Specialization
We generalize various classical results on specialization of fundamental groups to log schemes in the sense of Fontaine and Illusie. The key technical result relates the category of finite Kummer étale covers of a fs log scheme over a complete noetherian local ring to the Kummer étale coverings of its reduction, generalizing earlier results of Hoshi.
متن کاملKummer ’ s Theorem
c W W L Chen, 1984, 2013. This chapter originates from material used by the author at Imperial College London between 1981 and 1990. It is available free to all individuals, on the understanding that it is not to be used for financial gain, and may be downloaded and/or photocopied, with or without permission from the author. However, this document may not be kept on any information storage and ...
متن کاملThe Universal Kummer Congruences
Let p be a prime. In this paper, we present detailed p-adic analysis to factorials and double factorials and their congruences. We give good bounds for the p-adic sizes of the coefficients of the divided universal Bernoulli number B̂n n when n is divisible by p−1. Using these we then establish the universal Kummer congruences modulo powers of a prime p for the divided universal Bernoulli numbers...
متن کاملThe Universal Kummer Threefold
The universal Kummer threefold is a 9-dimensional variety that represents the total space of the 6-dimensional family of Kummer threefolds in P7. We compute defining polynomials for three versions of this family, over the Satake hypersurface, over the Göpel variety, and over the reflection representation of type E7. We develop classical themes such as theta functions and Coble’s quartic hypersu...
متن کاملOn Kummer Construction
We discuss a generalization of Kummer construction which, on the base of an integral representation of a finite group and local resolution of its quotient, produces a higher dimensional variety with trivial canonical class. We use virtual Poincaré polynomials with coefficients in a ring of representations and McKay correspondence to compute cohomology of such Kummer varieties. 1. The constructi...
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ژورنال
عنوان ژورنال: Orientalistische Literaturzeitung
سال: 1910
ISSN: 2196-6877,0030-5383
DOI: 10.1524/olzg.1910.13.16.279