# Vector Bundles over Projectivoid Line

## TL;DR

This paper explores the structure of vector bundles over the projectivoid line, comparing their classification to the classical case over the projective line, highlighting similarities and differences.

## Contribution

It provides a detailed description of vector bundles over the projectivoid line and analyzes how their classification differs from the classical Gorthendieck's results.

## Key findings

- Vector bundles over the projectivoid line are characterized and classified.
- Differences between projectivoid line and classical projective line vector bundles are identified.
- The classification framework extends or modifies Gorthendieck's approach for the projectivoid setting.

## Abstract

In this article we describe vector bundles over projectivoid line and show how it is similar to (and different) from Gorthendieck's classification of vector bundles over projective line.