France after the Battle of France, 1940

The Battle of France (bataille de France) fought between 10 May and 25 June 1940 was the German invasion of France during the Second World War.
On 3 September 1939, France declared war on Germany following the German invasion of Poland. German armies invaded Belgium, Luxembourg and the Netherlands on 10 May 1940. Italy entered the war on 10 June 1940 and attempted an invasion of France. France and the Low Countries were conquered, ending land operations on the Western Front until the Normandy landings on 6 June 1944.
In Fall Gelb (Case Yellow), German armoured units made a surprise push through the Ardennes and then along the Somme valley, cutting off and surrounding the Allied units that had advanced into Belgium to meet the German armies there. British, Belgian and French forces were pushed back to the sea by the Germans; the British and French navies evacuated the encircled elements of the British Expeditionary Force and the French and Belgian armies from Dunkirk in Operation Dynamo.
German forces began Fall Rot (Case Red) on 5 June 1940. The sixty remaining French divisions and the two British divisions in France made a determined stand on the Somme and Aisne but were defeated by the German combination of air superiority and armoured mobility. German armies outflanked the intact Maginot Line and pushed deep into France, occupying Paris unopposed on 14 June. After the flight of the French government and the collapse of the French Army, German commanders met with French officials on 18 June to negotiate an end to hostilities.
On 22 June 1940, the Second Armistice at Compiègne was signed by France and Germany. The neutral Vichy government led by Marshal Philippe Pétain replaced the Third Republic and German military occupation began along the French North Sea and Atlantic coasts and their hinterlands. The Italian invasion of France over the Alps took a small amount of ground and after the armistice, Italy occupied a small area in the south-east. The Vichy regime retained the zone libre (free zone) in the south. Following the Allied invasion of French North Africa in November 1942, in Case Anton, the Germans and Italians took control of the zone until France was liberated by the Allies in 1944.