Sabrina Pauli | Formulas for the A1-degree

Seminar on A1-topology, motives and K-theory, March 25, 2021
Sabrina Pauli (Universität Duisburg-Essen)
Formulas for the A1-degree

Morel´s A1-degree is a very important tool in A1-enumerative geometry and one wishes to have nice algebraic formulas for it. One way to compute it is to express it as a sum of local degrees for which there exist formulas whenever the residue fields are separable field extensions over the ground field. Cazanave provides a global formula for the A1-degree of an endomorphism of P1 given by the so called Bezoutian. In my talk I will show how a multivariate version of the Bezoutian can be used to compute the A1-degree generalising Cazanave´s result and removing the assumptions on the residue fields.

This is joint work with Thomas Brazelton and Stephen McKean.