Self-dual T-structure

TL;DR

This paper introduces a self-dual t-structure on the derived category of real-constructible sheaves over a Noetherian regular ring, extending the concept of t-structures.

Contribution

It generalizes the notion of t-structure to establish a self-dual t-structure in this mathematical setting.

Findings

Defines a self-dual t-structure on the derived category

Extends the theory of t-structures to a new class of sheaves

Provides a framework for further research in algebraic geometry

Abstract

We give a self-dual t-structure on the derived category of $\mathbb{R}$-constructible sheaves over a Noetherian regular ring by generalizing the notion of t-structure.