They came from across the world to ski in the most famous resorts of the Austrian alps.

Jacob Homiller and his college friends flew in from the United States. Jane Witt, a retired lecturer, arrived from London for a family reunion. Annette Garten, the youth director at a tennis club in Hamburg, Germany, was celebrating her birthday with her husband and two grown children.

They knew in late February and early March that the coronavirus was spreading in nearby northern Italy and across the other border in Germany, but no one was alarmed. Austrian officials downplayed concerns as tourists crowded into cable cars by day and apres-ski bars at night.