Motivic intersection complex

TL;DR

This paper introduces an unconditional definition of the motivic intersection complex, explores its fundamental properties, and demonstrates its existence in specific cases, advancing the understanding of motivic sheaves in algebraic geometry.

Contribution

It provides the first unconditional definition of the motivic intersection complex and proves its existence in particular scenarios, filling a gap in motivic theory.

Findings

Defined the motivic intersection complex unconditionally

Established basic properties of the motivic intersection complex

Proved existence in certain cases

Abstract

In this article, we give an unconditional definition of the motivic analogue of the intersection complex, establish its basic properties, and prove its existence in certain cases.