portada C∞-Algebraic Geometry with Corners (en Inglés)

C∞-Algebraic Geometry with Corners (en Inglés)

Formato

Libro Físico

Autor

Kelli Francis-Staite

Dominic Joyce

Editorial

Cambridge University Press

Idioma

Inglés

N° páginas

220

Encuadernación

Tapa Blanda

Dimensiones

22.8x15.2x1.2 cm

Peso

0.36 kg.

ISBN13

9781009400169

N° edición

Categorías

Topología

C∞-Algebraic Geometry with Corners (en Inglés)

Kelli Francis-Staite (Autor) · Dominic Joyce (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "C∞-Algebraic Geometry with Corners (en Inglés)"

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.