The period-index problem for real surfaces
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولTwisted sheaves and the period-index problem
We use twisted sheaves and their moduli spaces to study the Brauer group of a scheme. In particular, we (1) show how twisted methods can be efficiently used to re-prove the basic facts about the Brauer group and cohomological Brauer group (including Gabber’s theorem that they coincide for a separated union of two affine schemes), (2) give a new proof of de Jong’s periodindex theorem for surface...
متن کاملThe Period-index Problem in Wc-groups Iii: Biconic Curves
This note continues our study of the period-index problem in the Weil-Châtelet group of an elliptic curve, begun in [6]. In this paper, we conjectured that for any elliptic curve E/K defined over a number field and any prime number p, there exists an infinite subgroup G of H(K,E), every nonzero element of which has period p and index p. This conjecture was proved when E has full p-torsion defin...
متن کاملModuli of Twisted Orbifold Sheaves and the Period-index Problem
We prove that certain stacks of slope-semistable twisted sheaves on orbisurfaces are non-empty and geometrically irreducible. Using these results, we prove the standard period-index conjecture for Brauer classes over function fields of surfaces over finite fields.
متن کاملThe Period-index Problem in Wc-groups Ii: Abelian Varieties
We study the relationship between the period and the index of a principal homogeneous space over an abelian variety, obtaining results which generalize work of Cassels and Lichtenbaum on curves of genus one. In addition, we show that the p-torsion in the Shafarevich-Tate group of a fixed abelian variety over a number field k grows arbitarily large when considered over field extensions l/k of bo...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 2019
ISSN: 0073-8301,1618-1913
DOI: 10.1007/s10240-019-00108-7