Affine Connections, and Midpoint Formation

Abstract

It is a striking fact that differential calculus exists not only in analysis (based on the real numbers R), but also in algebraic geometry, where no limit processes are available. In algebraic geometry, one rather uses the idea of nilpotent elements in the “affine line” R; they act as infinitesimals. (Recall that an element x in a ring R is called nilpotent… (More)
DOI: 10.1007/978-3-642-04397-0_2

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