Whether due process is violated when a federal court relies on a demonstrably false affidavit from defense counsel and summarily rejects constitutional claims without an evidentiary hearing

1. Due Process and False Evidence: Whether due process is violated when a federal court relies ona demonstrably false affidavit from defense counsel, and then uses that false affidavit to summarily reject multiple constitutional claims without granting an evidentiary hearing. 2. Judicial Mischaracterization and Denial of Process: Whether a district court abuses its discretion and violates due-process by mischaracterizing substantial constitutional claims, adopting government arguments unsupported by the record, ©rddenying discovery and an evidentiary hearing despite the existence of material factual disputes. 3. Appellate Review and Certificate of Appealability: Whether the court of appeals' denial of a Certificate of Appealability without addressing the district court's due process errors conflicts with Slack v. McDaniel, 529 U.S. 473 (2000), and improperly insulates serious constitutional violations from further judicial review.