Rank weights for arbitrary finite field extensions

Jean Fasel (1) , Grégory Berhuy , Odile Garotta

1 IF - Institut Fourier

In this paper, we study several definitions of generalized rank weights for arbitrary finite extensions of fields. We prove that all these definitions coincide, generalizing known results for extensions of finite fields.

Domaines: Géométrie algébrique [math.AG]; Topologie algébrique [math.AT]; Algèbre commutative [math.AC]

Jean Fasel, Grégory Berhuy, Odile Garotta. Rank weights for arbitrary finite field extensions. 2021. ⟨hal-03470531⟩