False. While Antarctica is classified as a polar desert due to low precipitation, the statement "only little snow falls" is misleading without context. The continent's precipitation patterns are extreme and highly variable.
Snow accumulation, not just "snowfall," builds the massive ice sheet (average thickness 2.16 km). Even low annual accumulation, sustained over millennia, creates the largest freshwater reservoir on Earth (70% of global fresh water). Coastal storms—driven by cyclonic systems—can dump meters of snow in days.
Warming temperatures increase atmospheric moisture, leading to increased snowfall over the interior in recent decades, partially offsetting ice loss from coastal melting. However, net mass loss continues due to accelerated glacier flow and ice shelf collapse.