# Strange examples of local signatures for fibered surfaces of small genus

## TL;DR

This paper presents novel examples of local signatures for fibrations of genus 2 and 3, expanding the understanding of local invariants in fibered surface theory.

## Contribution

It introduces new types of local signatures that differ from traditional ones for genus 2 and 3 fibrations.

## Key findings

- Examples of local signatures for genus 2 and 3 fibrations are provided.
- The new local signatures are fundamentally different from the usual ones.
- The work broadens the scope of local signature concepts in algebraic geometry.

## Abstract

We give examples of local signatures, completely different from the usual ones, for general fibrations of genus $2$ and genus $3$.