At least for the near future -- but if the Court does decide to accept one of these cases and does find that the plaintiff had standing, then indeed the lower court will be required to accept evidence on the issue of whether there is a legitimate birth certificate.
Unfortunately, the speed at which courts act could mean that it will not be decided for several years. Because as soon as the lower court finds that Obama is not a citizen, then it will be appealed to the appellate court and then to the Supreme Court.
So don't look for a quick resolution.
I agree hankbrown but I think the Supreme Court will recognize that this needs to be resolved quickly (or they would if they had any foresight and take their pledge to uphold the Constitution seriously).
How about impeachment?
(Other than a long shot with dim majorities.)
How about seating number two while eligibility was in question?
(Would they come up with an "Office of the Acting President" seal for Biden or Pelosi?)