# Hermitian and skew hermitian forms over local rings

## TL;DR

This paper investigates the classification of hermitian and skew hermitian bilinear forms over local rings with units, focusing on possibly degenerate cases to extend existing mathematical frameworks.

## Contribution

It provides a new classification framework for hermitian and skew hermitian forms over local rings where 2 is invertible, including degenerate forms.

## Key findings

- Classification results for hermitian forms over local rings
- Extension of known theories to degenerate forms
- Framework applicable to a broad class of local rings

## Abstract

We study the classification problem of possibly degenerate hermitian and skew hermitian bilinear forms over local rings where 2 is a unit.