Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring

A. A. Ambily, Ravi A. Rao

We prove that a quadratic $A[T]$-module $Q$ with Witt index ($Q/TQ$)$\ge d$, where $d$ is the dimension of the equicharacteristic regular local ring $A$, is extended from $A$. Th…