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C∞-algebraic geometry with corners / Kelli Francis-Staite (University of Adelaide), Dominic Joyce (University of Oxford)

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: London Mathematical Society. Lecture note series / London Mathematical Society ; 490Publisher: Cambridge, United Kingdom ; New York, NY ; Port Melbourne, VIC ; New Delhi ; Singapore : Cambridge University Press, 2024Description: vi, 216 Seiten : Illustrationen ; 23 cmISBN:
  • 9781009400169
Other title:
  • Abweichender Titel: C-infinity-algebraic geometry with corners
Subject(s): Additional physical formats: No title | Erscheint auch als: C∞-Algebraic Geometry with Corners. Online-Ausgabe Cambridge, United Kingdom : Cambridge University Press, 2024. 1 online resource (vi, 216 pages)MSC: MSC: 53-XXSummary: Publisher’s description: 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’. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces ‘C∞-schemes with corners’, singular spaces in differential geometry with good notions of boundary and corners. They can be used to define ‘derived manifolds with corners’ and ‘derived orbifolds with corners’. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry.PPN: PPN: 1879642123
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Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Geom. / Fra Available 36537044090
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