Quadratic forms under multiquadratic extensions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Witt Kernels of Quadratic Forms for Multiquadratic Extensions in Characteristic 2

Let F be a field of characteristic 2 and let K/F be a purely inseparable extension of exponent 1. We show that the extension is excellent for quadratic forms. Using the excellence we recover and extend results by Aravire and Laghribi who computed generators for the kernel Wq(K/F ) of the natural restriction map Wq(F ) → Wq(K) between the Witt groups of quadratic forms of F and K, respectively, ...

متن کامل

Applications of quadratic D-forms to generalized quadratic forms

In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.

متن کامل

Differential Forms and Bilinear Forms under Field Extensions

Let F be a field of characteristic p > 0. Let Ω(F ) be the F vector space of n-differentials of F over F . Let K = F (g) be the function field of an irreducible polynomial g in m > 1 variables over F . We derive an explicit description of the kernel of the restriction map Ω(F ) → Ω(K). As an application in the case p = 2, we determine the kernel of the restriction map when passing from the Witt...

متن کامل

Isotropy of Products of Quadratic Forms over Field Extensions

The isotropy of products of Pfister forms is studied. In particular, an improved lower bound on the value of their first Witt index is obtained. This result and certain of its corollaries are applied to the study of the weak isotropy index (or equivalently, the sublevel) of arbitrary quadratic forms. The relationship between this invariant and the level of the form is investigated. The problem ...

متن کامل

Local and global fundamental classes for multiquadratic extensions

Using a reformulation of an approach of Serre, we provide a description of the fundamental class of an arbitrary multiquadratic extension of local fields. For a multiquadratic extension of number fields L/K such that 2 splits completely in L, we exhibit the global fundamental class. We obtain descriptions of the local and global reciprocity maps as consequences. 2010 Mathematics Subject Classif...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Indagationes Mathematicae (Proceedings)

سال: 1980

ISSN: 1385-7258

DOI: 10.1016/1385-7258(80)90017-7