C∞-Algebraic Geometry with Corners

by Dominic Joyce and Kelli Francis-Staite

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'...

• Format: Paperback
• Language: English
• ISBN: 1009400169
• ISBN13: 9781009400169
• Release Date: January 2024
• Publisher: Cambridge University Press
• Length: 220 Pages
• Weight: 0.80 lbs.
• Dimensions: 0.5" x 6.0" x 9.0"