SYRACUSE, N.Y. — If it really was the final Big East game at the Carrier Dome between Georgetown and Syracuse, it was a fitting end.

Kris Joseph’s three-pointer with 26.3 seconds remaining in overtime provided the winning points, and second-ranked Syracuse edged No. 12 Georgetown 64-61 last night before 27,820.

Joseph scored a career-high 29 points, including 17 in the second half on 6-of-10 shooting. He made 4 of 5 three-pointers and went 9 of 20 from the field overall, but the rest of the Orange missed 43 of 56 shots.

“Kris bailed us out,” Syracuse coach Jim Boeheim said. “He made some shots for us. No one else looked comfortable shooting the ball.”

The Orange (24-1, 11-1) won its 19th consecutive home game. The Hoyas (18-5, 8-4), the last team to win at Syracuse, had won five of their previous six games and had gone 4-1 against ranked teams this season.

Neither team led by more than six points, and the score was tied three times in overtime. After Syracuse’s Dion Waiters tied the score at 61 with two free throws, Joseph won it with his three-pointer.

“There were three options (Joseph, Waiters and Scoop Jardine), and for some reason they left me open,” Joseph said. “Maybe they didn’t see the last four or five go in. I was ready for it.”

Georgetown forward Otto Porter said it was a “miscommunication” that led to Joseph’s winning basket.

With the score tied at 46, Syracuse’s Fab Melo was fouled on a dunk and completed the three-point play. His reverse layup pushed the Orange’s lead to 51-48, and Joseph’s three-pointer gave it a 54-48 advantage.

But Georgetown’s Jason Clark hit a pair of three-pointers, the first one to cut Syracuse’s lead to 54-51 and the second to narrow the gap to 55-54 with 1:28 remaining.

After Georgetown’s Greg Whittington made the first end of a one-and-one to tie the score at 55, he missed the second and teammate Jabril Trawick grabbed the rebound.

The Hoyas fed the ball inside to Henry Sims, but Melo partially blocked his shot. Syracuse held the ball for a final shot, but Waiters’ jumper was off the mark.

Syracuse, along with Pittsburgh and West Virginia, is leaving the Big East, perhaps as early next season. But even if those schools remain for another season, Syracuse and Georgetown might only play once because of the league’s unbalanced schedule. And that game would be in Washington.

“It’s always been a good game and always will be as long as we keep playing,” Boeheim said. “It always is.”

Added Georgetown coach John Thompson III: “Yes, it’s important to Georgetown. Yes, it’s important to Syracuse. Yes, it’s important to our conference. But they’re leaving, so now we’ll see.”