Details

Autor(en) / Beteiligte

• Hall, John R

Titel

Pairs of Quadratic Forms over p-Adic Fields

Ort / Verlag

ProQuest Dissertations & Theses

Erscheinungsjahr

2024

Quelle

ProQuest Dissertations & Theses A&I

Beschreibungen/Notizen

• Given two quadratic forms Q1, Q2 over a p-adic field K in n variables, we consider the pencil PK(Q1, Q2), which contains all nontrivial K-linear combinations of Q1 and Q2. We define D to be the maximal dimension of a subspace in Kn on which Q1 and Q2 both vanish. We define H to be the maximal number of hyperbolic planes that a form in PK(Q1, Q2) splits off over K. We will determine which values for (D, H) are possible for a nonsingular pair of quadratic forms over a p-adic field K.