Quick, Gereon; Strand, Therese; Wilson, Glen Matthew (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-02-24)
We study which quadratic forms are representable as the local degree of a map f:An→An
with an isolated zero at 0
, following the work of Kass and Wickelgren who established the connection to the quadratic form of Eisenbud, Khimshiashvili, and Levine. Our main observation is that over some base fields k
, not all quadratic forms are representable as a local degree. Empirically the local degree ...