The verbal battle between director Peter Bogdanovich and Playboy publisher Hugh Hefner is getting quite hot. Hefner has claimed that Bogdanovich's book, "The Killing of a Unicorn," about the death of playmate Dorothy Stratten, had caused him to have a stroke. Yesterday, Hefner added the charge that Bogdanovich had an affair with Stratten's teen-age sister. Bogdanovich could not be reached for comment, but there's certainly more to come . . .

Russian-born artist Marc Chagall was buried yesterday in the French village of St. Paul de Vence in a funeral attended by public officials and members of the artistic community. Among the officials were French Foreign Minister Roland Dumas and Cultural Minister Jack Lang and Israel's ambassador to France, Ovadia Soffer. Also there were Pablo Picasso's widow, Jacqueline Picasso; Henri Matisse's son, Pierre Matisse; and art critic Andre' Verde . . .

Michael Jackson ended a six-day visit to England yesterday, dismissing rumors that he was secretly working with former Beatle Paul McCartney on a future collaboration. It was just a holiday, he said . . .

This will strike an icy chill into the hearts of all those children who grew up on the Beatles: Ringo Starr is about to become a grandfather. His 19-year-old son Zak Starkey, who goes by his father's real last name, and his wife Sarah are expecting a child in October. So Starr, at 45, will become a grandfather -- and the winter winds blow . . .