کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587550 1334148 2008 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Division algebras over surfaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Division algebras over surfaces
چکیده انگلیسی

We consider here a number of topics concerning the theory of division algebras over the function field of a surface. One result relates the obstruction for ramification data to be from a division algebra and third etale cohomology. Another result shows this obstruction is always zero when the surface is Spec of a regular local ring (with some mild assumptions). At the same time we study the Brauer group of this function field as it relates to the Brauer group of the function field of the henselization. Finally we prove a result which says that Brauer group elements which “look like” they are of prime index q (unequal to any characteristic) must have all their ramification split by a cyclic Galois extension of the same degree. This last result requires a primitive q root of one.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 320, Issue 4, 15 August 2008, Pages 1543-1585