Hi Cédric Hébert,
Thanks for reaching out to Microsoft Community and posting your inquiry.
To verify if this is a hardware or software related issue, we suggest going to the UEFI environment every time the issue happen. If the lines would show up on the UEFI settings, this could be a potential hardware issue. Please reach out the Microsoft Surface Support to check your exchange options. If you're located outside the United States, you may also check the Global Team.
If this answers your question, we highly encourage you to inform our Community by clicking on Yes or marking my post as an answer. This will help other members who may have the same issue as you. Otherwise, don't hesitate to update us so we can further assist you.
Kind regards,
John Neil_J