C∞-Algebraic Geometry with Corners (English, Kelli Francis-Staite | Dominic Joyce)
by Kelli Francis-Staite | Dominic Joyce
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About the Book
Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C∞-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'.…
ISBN: 9781009400169
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