About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces
Let \(k\) be a field of characteristic not equal to 2. We consider a quasihomogeneous algebraic surface \(V\) over \(k\), which is of degree two over the plane. The aim of this paper is to describe the Witt ring of the field of quotients of formal power series at \(0 \in V\) in terms of the second residue homomorphisms associated to the algebroid curves on \(V\) and to construct the exact sequence of the Milnor-Scharlau type for this ring.
algebroid curves on quasihomogeneous algebraic surface
scientific article; zbMATH DE number 778948