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C¿-Algebraic Geometry with Corners

By Kelli Francis-Staite

C¿-Algebraic Geometry with Corners

By Kelli Francis-Staite

0 - Default Title
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
224
Release Date:
2024-01-04
Publication Date:
2024-01-04
Publisher:
Cambridge University Press
Languages:
Original: English
ISBN10:
1009400169
ISBN13:
9781009400169
GPSR Manufacturer Reference:
[email protected]
Weight:
332 g
Height:
152 cm
Width:
229 cm
Thickness:
12 cm
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