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portada C∞-Algebraic Geometry with Corners
C∞-Algebraic Geometry with CornersC∞-Algebraic Geometry with Corners
Type
Physical Book
Author
Publisher
Language
English
Pages
220
Format
Paperback
Dimensions
22.8x15.2x1.2 cm
Weight
0.36 kg.
ISBN13
9781009400169
Edition No.
1
Categories

C∞-Algebraic Geometry with Corners

Kelli Francis-Staite (Author) · Dominic Joyce (Author) · Cambridge University Press · Paperback

C∞-Algebraic Geometry with Corners - Francis-Staite, Kelli ; Joyce, Dominic

New Book Imported to Taiwan
Delivery: 02 Oct - 12 Oct Shipping: 5 to 6 business days.
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NT$ 3,253

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Synopsis "C∞-Algebraic Geometry with Corners"

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.

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