Hello,

- in order to list all installable versions of a package, I find apt policy useful. Here for an amd64 kernel:
didier@hp-notebook14:~$ LANG=en-us.UTF8; apt policy linux-image-amd64
linux-image-amd64:
  Installed: 6.1.129-1
  Candidate: 6.1.129-1
  Version table:
     6.12.12-1~bpo12+1 100
100 http://deb.debian.org/debian bookworm-backports/main amd64 Packages
 *** 6.1.129-1 500
500 http://deb.debian.org/debian bookworm-proposed-updates/main amd64 Packages
        100 /var/lib/dpkg/status
     6.1.128-1 500
500 http://security.debian.org/debian-security bookworm-security/main amd64 Packages
     6.1.124-1 500
500 http://deb.debian.org/debian bookworm-updates/main amd64 Packages
     6.1.123-1 500
        500 http://deb.debian.org/debian bookworm/main amd64 Packages

- in my case, a search for linux-image-amd64 package (for *all* distributions) on the Debian Packages website indeed points to a 6.1 kernel available in Bullseye Backports

- in order to determine what kind of linux support (and from which version of the kernel), I find linux-hardware.org useful. Here for the Intel 730 graphic card:
https://linux-hardware.org/?id=pci:8086-4682
that states this card is supported from linux 5.13 onward (albeit from linux 3.15 with fbdev and no modesetting, it probably works too)

So, as David has already pointed to a linux 6.1 available in Bullseye Backports, to install it should probably suffice?


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