The $\bar{\partial }$-equation for $(p,q)$-forms on a non-reduced analytic space

Mats Andersson, Richard Lärkäng, Mattias Lennartsson +1

On any pure $n$-dimensional, possibly non-reduced, analytic space $X$ we introduce the sheaves ${\mathcal{E}}_X^{p,q}$ of smooth $(p,q)$-forms and certain extensions $\mathscr{A}_X^{…