Restriction of a quadratic form over a finite field to a nondegenerate affine quadric hypersurface

Edoardo BALLICO

Makale detayları

Restriction of a quadratic form over a finite field to a nondegenerate affine quadric hypersurface

Yazarlar:

Edoardo BALLICO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.1-11

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745930

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let h,hM:Fnq→Fqh,hM:Fqn→Fqh, h_M: \mathbb {F} _q^n\to \mathbb {F} _q be quadratic forms with hhh not degenerate. Fix k∈Fqk∈Fqk\in \mathbb {F} _q and set Cn(k,h)Fq:={h(x1,…,xn)=k}⊂FnqCn(k,h)Fq:={h(x1,…,xn)=k}⊂FqnC_n(k,h)_{\mathbb {F} _q}:= \{h(x_1,\dots ,x_n)=k\}\subset \mathbb {F}_q^n. We compute (in many cases)   the image of hM|Cn(k,h)FqhM|Cn(k,h)Fqh_{M|C_n(k,h)_{\mathbb {F} _q}}. This question is related to a question on the numerical range of matrices over a finite field.

Makale detayları

Restriction of a quadratic form over a finite field to a nondegenerate affine quadric hypersurface

Yazarlar: Edoardo BALLICO

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.1-11

Belge Tipi: Makale

Yayın Tarihi: 1/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745930

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Edoardo BALLICO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.1-11

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745930

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098