Unramified brauer group
WebThis setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher … WebMar 9, 2024 · Unramified Brauer classes on cyclic covers of the projective plane.- Arithmetically Cohen-Macaulay bundles on cubic fourfolds containing a plane.- Brauer …
Unramified brauer group
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WebUnramified Brauer Group and Its Applications Sergey Gorchinskiy Constantin Shramov EDITORIAL COMMITTEE Lev Birbrair Toshiyuki Kobayashi Pavel Etingof (Chair) Shou-Wu … WebASIAN J. MATH. c 2013 International Press Vol. 17, No. 4, pp. 689–714, December 2013 008 NOETHER’S PROBLEM AND UNRAMIFIED BRAUER GROUPS∗ AKINARI HOSHI†, MING-CHANG KANG‡, AND BORIS E. KUNYAVSKII§ Abstract. Let kbe any field, Gbe a finite group acting on the rational function field k(xg: g∈ G) by h·xg = xhg for any h,g∈ G. Define k(G) …
WebTexts with language specifed as french OR fre WebAbstract. The Bogomolov multiplier is a group theoretical invariant isomorphic to the unramified Brauer group of a given quotient space. We derive a homological version of …
WebWe prove that if p is a prime, p>3p>3, and G is a group of order p5p5 not belonging to the 10-th isoclinism family, then the unramified Brauer group of G is trivial. View Show abstract WebJan 3, 2024 · $\begingroup$ The easiest non-trivial case is quaternion algebras, which are completely explicit. These give rise to $2$-torsion elements in the Brauer group. Other cases, which generalise these, are cyclic algebras. I would recommend looking at Poonen's book "Rational points on varieties" which has explicit examples of the Brauer-Manin …
WebF.A. Bogomolov, The Brauer group of quotient spaces by linear group actions,Math. USSR Izvestiya 30 (1988), 455–485. Article MATH Google Scholar K. Fujiwara, Theory of tubular …
WebA NOTE ON THE UNRAMIFIED BRAUER GROUP AND PURITY Ofer Gabber Institut des Hautes l~tudes Scientifiques. C.N.R.S., 35 route de Chartres, 91440 Bures-sur-Yvette. … glee first airedWebUNRAMIFIED BRAUER GROUPS IN CHARACTERISTIC TWO 3 We will also say that two quadratic forms q 1;q 2 de ned respectively over V 1 and V 2, are isometric if there exists … glee first episodeWebMar 20, 2014 · Since the Brauer group Br (X c): = H e ´ t 2 (X c, G m) is a birational invariant of smooth proper varieties, it does not depend on the choice of X c but only depends on X; … glee finn and rachel songsWebMar 9, 2024 · Unramified Brauer classes on cyclic covers of the projective plane.- Arithmetically Cohen-Macaulay bundles on cubic fourfolds containing a plane.- Brauer groups on K3 surfaces and arithmetic applications.- On a local-global principle for H 3 of function fields of surfaces over a finite field.- Cohomology and the Brauer group of double … bodyguard\u0027s spWebThe unramified Brauer group of the field k(X) with respect to k is a subgroup Brnr (k(X)lk) C Br (k(X)); it is isomorphic to the Brauer group of any smooth and proper model of X ([G], 6.2). Recall that for any number field k the local invariant of class field theory is an ... bodyguard\\u0027s snWebDec 2, 2015 · Unramified Brauer Group and Its Applications. This is a textbook on arithmetic geometry with special regard to unramified Brauer groups of algebraic varieties. The … bodyguard\u0027s snWebThis book is devoted to arithmetic geometry with special attention given to the unramified Brauer group of algebraic varieties and its most striking applications in birational and … glee five years later fanfiction