scholarly journals Brauer groups of involution surface bundles

2021 ◽  
Vol 17 (2) ◽  
pp. 649-669
Author(s):  
Andrew Kresch ◽  
Yuri Tschinkel
Keyword(s):  
Brauer Groups ◽  
Surface Bundles

A Primer on Mapping Class Groups (PMS-49)

2017 ◽  
Author(s):  
Benson Farb ◽  
Dan Margalit
Keyword(s):  
Graduate Students ◽  
Moduli Space ◽  
Riemann Surfaces ◽  
Class Group ◽  
Mapping Class ◽  
Torelli Group ◽  
Surface Bundles ◽  
Surface Homeomorphisms ◽  
Low Dimensional

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. It begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn–Nielsen–Baer–theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

scholarly journals Brauer groups and étale cohomology in derived algebraic geometry

2014 ◽  
Vol 18 (2) ◽  
pp. 1149-1244 ◽  
Author(s):  
Benjamin Antieau ◽  
David Gepner
Keyword(s):  
Algebraic Geometry ◽  
Brauer Groups ◽  
Etale Cohomology ◽  
Derived Algebraic Geometry ◽  
Étale Cohomology

scholarly journals Hecke actions on brauer groups

1984 ◽  
Vol 33 (1) ◽  
pp. 11-17 ◽  
Author(s):  
Timothy J. Ford
Keyword(s):  
Brauer Groups

Brauer Groups of Homogenecus Spaces, I

1984 ◽  
pp. 111-144
Author(s):  
W. Haboush
Keyword(s):  
Brauer Groups

Surface Bundles

2017 ◽  
Vol 13 (4) ◽  
pp. 3149-3195
Author(s):  
Benson Farb ◽  
Ursula Hamenstädt ◽  
Andrew Ranicki
Keyword(s):  
Surface Bundles

A Note on the Height of the Formal Brauer Group of a K3 Surface

2004 ◽  
Vol 47 (1) ◽  
pp. 22-29 ◽  
Author(s):  
Yasuhiro Goto
Keyword(s):  
Positive Characteristic ◽  
Brauer Group ◽  
K3 Surface ◽  
Brauer Groups

AbstractUsing weighted Delsarte surfaces, we give examples of K3 surfaces in positive characteristic whose formal Brauer groups have height equal to 5, 8 or 9. These are among the four values of the height left open in the article of Yui [11].

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