scholarly journals The relative Brauer group and generalized cyclic crossed products for a ramified covering

2016 ◽  
Vol 450 ◽  
pp. 1-58 ◽  
Author(s):  
Timothy J. Ford
Keyword(s):  
Brauer Group ◽  
Crossed Products ◽  
Ramified Covering

scholarly journals Equivalence Classes of Maximal Orders

1968 ◽  
Vol 31 ◽  
pp. 131-171 ◽  
Author(s):  
Susan Williamson
Keyword(s):  
Valuation Ring ◽  
Equivalence Classes ◽  
Brauer Group ◽  
Crossed Products ◽  
Quotient Field ◽  
Maximal Orders ◽  
Rank One

Let k denote the quotient field of a complete discrete rank one valuation ring R. The purpose of this paper is to establish a relationship between the Brauer group of k and the set of maximal orders over R which are equivalent to crossed products over tamely ramified extensions of R.

scholarly journals Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere

2021 ◽  
Vol 24 (3) ◽  
Author(s):  
Alexander I. Bobenko ◽  
Ulrike Bücking
Keyword(s):  
Error Estimate ◽  
Branch Point ◽  
Riemann Surfaces ◽  
Riemann Sphere ◽  
Holomorphic Functions ◽  
Convergence Result ◽  
Edge Length ◽  
Ramified Covering ◽  
Compact Riemann Surfaces ◽  
Ramified Coverings

AbstractWe consider the class of compact Riemann surfaces which are ramified coverings of the Riemann sphere $\hat {\mathbb {C}}$ ℂ ̂ . Based on a triangulation of this covering we define discrete (multivalued) harmonic and holomorphic functions. We prove that the corresponding discrete period matrices converge to their continuous counterparts. In order to achieve an error estimate, which is linear in the maximal edge length of the triangles, we suitably adapt the triangulations in a neighborhood of every branch point. Finally, we also prove a convergence result for discrete holomorphic integrals for our adapted triangulations of the ramified covering.

scholarly journals On the Brauer group of diagonal quartic surfaces

2011 ◽  
Vol 83 (3) ◽  
pp. 659-672 ◽  
Author(s):  
Evis Ieronymou ◽  
Alexei N. Skorobogatov ◽  
Yuri G. Zarhin
Keyword(s):  
Brauer Group ◽  
Quartic Surfaces

scholarly journals Discrete Product Systems and Twisted Crossed Products by Semigroups

1998 ◽  
Vol 155 (1) ◽  
pp. 171-204 ◽  
Author(s):  
Neal J. Fowler ◽  
Iain Raeburn
Keyword(s):  
Crossed Products ◽  
Product Systems
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