The question the justices face is whether the Fourth Amendment allows states to collect and analyze DNA from people arrested and charged with serious crimes, but who have not yet been convicted. Governor Martinez plans to support the constitutionality of Maryland’s practice of collecting DNA from suspects.
SCOTUSblog has this page devoted to the case. The Court only granted review on November 9, so it will be some weeks or months before Governor Martinez’s amicus brief is posted there, but I will link to it when it becomes available.
And by the way, if SCOTUSblog is not on your daily reading list, it should be.