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I want to put an image on my front title page, but a little above the mergins (so it would start on almost the very top of the A4 page). How do I manage this?

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You can do it in number of ways. My favorite is tikz using its remember picture and overlay combination.

\documentclass{article}
\usepackage{tikz}
\usepackage[a4paper,margin=1in,showframe]{geometry} %% showframe is to show margins. Remove that in your file
\begin{document}
\begin{tikzpicture}[remember picture,overlay]
    \node[anchor=north] at (current page.north)  {\includegraphics[width=3cm]{example-image-a}};
\end{tikzpicture} 

\end{document}

enter image description here

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