# Smooth blowup square for motives with modulus

## TL;DR

This paper extends Voevodsky's smooth blowup triangle of motives to include motives with modulus, broadening the theoretical framework for algebraic geometry and motive theory.

## Contribution

It introduces a generalized smooth blowup triangle for motives with modulus, expanding the scope of motive theory in algebraic geometry.

## Key findings

- Established a smooth blowup triangle for motives with modulus.
- Unified motives with and without modulus in a common framework.
- Enhanced understanding of blowup operations in motive theory.

## Abstract

In this self-contained paper we prove that Voevodsky's smooth blowup triangle of motives generalises to a smooth blowup triangle of motives with modulus.