Mario Vargas Llosa, one of Latin American literature’s modern greats, died April 13 in Lima, Peru. He was 89.

He died surrounded by his family and “at peace,” his children Álvaro, Gonzalo and Morgana Vargas Llosa announced in a social post.

“He enjoyed a long, adventurous and fruitful life, and leaves behind him a body of work that will outlive him,” they added.

That body of work is huge. Winning the Nobel Prize for Literature in 2010, Vargas Llosa was also with once close friend Gabriel García Márquez, the towering star of the Latin American Boom, which brought to global attention the works of young Latin American writers – Peru’s Vargas Llosa, Colombia García Márquez, Mexico’s Carlos Fuentes, Argentina’s Julio Cortázar and Cuba’s Guillermo Cabrera Infante – which were among the first Latin American novelists to be published in Europe.

Combining a large influence of European modernism, William Faulkner, experiment and word play,...