The question I want to ask is related to the answer of this question: biblatex: filter out publications from a specific author in the references dynamically .
My aim is to separate my bibliography into two parts : one part for a personnal bibliography, and a second one for the regular bibliography.
To do that, I use the technique of the post I cited :
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[french]{babel}
\usepackage[style=alphabetic,maxnames=6,natbib=true]{biblatex}
\bibliography{biblatex-examples}
% Variants of each could be added
\newcommand{\firstname}{Donald~E.}
\newcommand{\lastname}{Knuth}
\DeclareBibliographyCategory{byname}
\DeclareIndexNameFormat{byname}{% Test could be refined
\ifboolexpr{ test {\ifdefstring{\lastname}{#1}}
and test {\ifdefstring{\firstname}{#3}}
}
{\addtocategory{byname}{\thefield{entrykey}}}
{}}
\AtDataInput{%
\indexnames[byname]{author}}
\begin{document}
\section{Knuth's books}
\begin{refsection}
\nocite{*}
\printbibliography[category=byname,heading=none]
\end{refsection}
\section{Not Knuth's books}
\printbibliography[notcategory=byname,heading=none]
\end{document}
The problem is that only the second bibliography appears, and when I remove the refsection, then all the bibtex entries of my input files are printed, separated as they should.
EDIT: the aim is to have all publications (even the ones not cited) by author knuth in the first section and all the other cited publications in the second one.