# On certain K-equivalent birational maps

## TL;DR

This paper investigates specific K-equivalent birational maps resolved by one blowup, providing criteria to identify standard and twisted Mukai flops, and classifies all such maps up to dimension 5.

## Contribution

It offers a classification of K-equivalent birational maps resolved by a single blowup up to dimension 5 and establishes criteria for identifying standard and twisted Mukai flops.

## Key findings

- Criteria for standard flop and twisted Mukai flop identification
- Complete classification of such maps up to dimension 5
- Examples include standard and twisted Mukai flops

## Abstract

We study K-equivalent birational maps which are resolved by a single blowup. Examples of such maps include standard flops and twisted Mukai flops. We give a criterion for such maps to be a standard flop or a twisted Mukai flop. As an application, we classify all such birational maps up to dimension 5.