کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897333 | 1630738 | 2018 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Kato-Milne cohomology and polynomial forms
ترجمه فارسی عنوان
کوهمولولوژی کاتو میلن و فرم چندجمله ای
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Given a prime number p, a field F with char(F)=p and a positive integer n, we study the class-preserving modifications of Kato-Milne classes of decomposable differential forms. These modifications demonstrate a natural connection between differential forms and p-regular forms. A p-regular form is defined to be a homogeneous polynomial form of degree p for which there is no nonzero point where all the order pâ1 partial derivatives vanish simultaneously. We define a CËp,m field to be a field over which every p-regular form of dimension greater than pm is isotropic. The main results are that for a CËp,m field F, the symbol length of Hp2(F) is bounded from above by pmâ1â1 and for any n⩾â(mâ1)log2â¡(p)â+1, Hpn+1(F)=0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 11, November 2018, Pages 3547-3559
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 11, November 2018, Pages 3547-3559
نویسندگان
Adam Chapman, Kelly McKinnie,