Supergeometry is a branch of mathematics that extends the concepts of geometry to include both geometric structures and "supersymmetrical" objects, which involve odd or "fermionic" dimensions. It arises from the study of supersymmetry in theoretical physics, where it plays a crucial role in string theory and quantum field theory. In conventional geometry, one typically works with spaces that are defined by traditional notions of points and curves in even-dimensional Euclidean spaces.
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