Brauer Groups and Tate-Shafarevich Groups

Journal of Mathematical Sciences

Gonzalez-Aviles, Cristian D.¹ 

关键词: Brauer groups;    Tate-Shafarevich groups;    Jacobian variety;    index of a curve;    period of a curve;    Cassels-Tate pairing;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Let$X_K$beaproper,smoothandgeometricallyconnectedcurveoveraglobalfield$K$.InthispaperwegeneralizeaformulaofMilnerelatingtheorderoftheTate-ShafarevichgroupoftheJacobianof$X_K$totheorderoftheBrauergroupofaproperregularmodelof$X_K$.WetherebypartiallyansweraquestionofGrothendieck.

【 授权许可】

Unknown