As Supreme Court term begins, prospect of a gay-marriage ruling looms large

Whether the justices will decide that the Constitution protects the right of same-sex couples to marry dominates expectations of the coming term; such a ruling would impart landmark status on a docket that so far lacks a blockbuster case.

And some say it would be a defining moment for a closely divided court that bears the chief justice’s name but is most heavily influenced by the justice in the middle: Anthony M. Kennedy, who has written the court’s most important decisions affording protection to gay Americans.

“If the court establishes a right to same-sex marriage . . . [it] will go down in history as one that was on the frontiers of establishing rights for gays and lesbians,” said David A. Strauss, a constitutional-law scholar at the University of Chicago.