Supermodel Christie Brinkley and her husband amassed real estate worth up to $80 million during their decade together. Now they are fighting over their properties in a highly-publicized divorce battle. Brinkley’s husband, architect Peter Cook, claims that he guided their purchases of prime Hamptons properties, which were reportedly bought with her money. They had listed their 20-acre Bridgehampton compound, Tower Hill, for $26.5 million but took it off the market as their marriage collapsed. They have listed for $15 million a 5-acre, six-bedroom, beachfront estate in Sag Harbor’s North Haven section. Other properties include two other Sag Harbor homes and a Water Mill beach house.