“This is a huge loss for the entire Adobe community and the technology industry, for whom he has been a guide and hero for decades,” he wrote in an email to the company’s employees.
“As co-founders of Adobe, Chuck and John Warnock developed ground-breaking software that has revolutionized how people create and communicate,” he said.
Geschke and Warnock were responsible for transformative software inventions, including PDF, Acrobat, Illustrator, Premiere Pro and Photoshop, Mr Narayen said.
In 1992, Geschke was kidnapped in an incident that made national headlines.
He was held at gunpoint in his office and taken to Hollister, California, for four days.
Geschke was freed after a suspect, found with $650,000 (£470,000) in ransom money, took police to the location where he was being held, Associated Press reported.
In 2009, President Barack Obama awarded Geschke and Warnock the National Medal of Technology.
“He was really a humble, humble man – I can say that, as his wife,” Nan Geschke told Mercury News. “He was very proud of his success, of course, but he was very circumspect about how much he had to do with that.”