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Titlebook: Brauer Groups and Obstruction Problems; Moduli Spaces and Ar Asher Auel,Brendan Hassett,Bianca Viray Book 2017 Springer International Publi

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Ferrimagnetic Properties of MagnetiteWe study K3 surfaces over non-closed fields and relate the notion of derived equivalence to arithmetic problems.
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Thermomechanics of Ferromagnetic Bodies,Let . be the function field of a smooth projective surface . over a finite field .. In this article, following the work of Parimala and Suresh, we establish a local-global principle for the divisibility of elements in . by elements in ..
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The Brauer Group Is Not a Derived Invariant,In this short note we observe that the recent examples of derived-equivalent Calabi–Yau 3-folds with diffierent fundamental groups also have diffierent Brauer groups, using a little topological K-theory.
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Twisted Derived Equivalences for Affine Schemes,We show how work of Rickard and Toën completely resolves the question of when two twisted affine schemes are derived equivalent.
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Universal Unramified Cohomology of Cubic Fourfolds Containing a Plane,We prove the universal triviality of the third unramified cohomology group of a very general complex cubic fourfold containing a plane. The proof uses results on the unramified cohomology of quadrics due to Kahn, Rost, and Sujatha.
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