# Semi-orthogonal decomposition of a derived category of a 3-fold with an ordinary double point

## TL;DR

This paper investigates semi-orthogonal decompositions of derived categories for 3-folds with ordinary double points, providing insights into their categorical structure and singularity behavior.

## Contribution

It introduces a semi-orthogonal decomposition framework specifically for 3-folds with ordinary double points, advancing understanding of their derived categories.

## Key findings

- Derived categories admit semi-orthogonal decompositions in this setting
- Characterization of categorical structures around ordinary double points
- New techniques for handling singularities in derived categories

## Abstract

We consider semi-orthogonal decompositions of derived categories for 3-dimensional projective varieties in the case when the varieties have ordinary double points.