C<sup>∞</sup>-Algebraic Geometry with Corners, 9781009400169
Paperback
Singular spaces with boundaries: differential and algebraic geometry collide.

C<sup>∞</sup>-Algebraic Geometry with Corners

$194.64

  • Paperback

    220 pages

  • Release Date

    4 January 2024

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Summary

Unveiling C∞-Algebraic Geometry with Corners: A New Frontier in Geometric Spaces

Schemes in algebraic geometry often grapple with singular points, a stark contrast to the smooth manifolds favored by differential geometers. Enter C∞-schemes, a powerful tool that empowers differential geometers to explore a vast landscape of singular spaces, encompassing infinitesimals and infinite-dimensional realms. These schemes find applications in synthetic differential geometry and derived diffe…

Book Details

ISBN-13:9781009400169
ISBN-10:1009400169
Series:London Mathematical Society Lecture Note Series
Author:Kelli Francis-Staite, Dominic Joyce
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Paperback
Number of Pages:220
Release Date:4 January 2024
Weight:320g
Dimensions:229mm x 152mm x 13mm
About The Author

Kelli Francis-Staite

Kelli Francis-Staite read for her DPhil at the University of Oxford as a Rhodes Scholar. Her thesis developed the theory of C∞-algebraic geometry with corners. She is currently an Adjunct Senior Lecturer at the University of Adelaide.

Dominic Joyce is Professor of Mathematics at Oxford University and a Senior Research Fellow at Lincoln College Oxford. He is the author of ‘Compact Manifolds with Special Holonomy’ (2000), ‘Riemannian Holonomy Groups and Calibrated Geometry’ (2007), ‘A Theory of Generalized Donaldson-Thomas Invariants’ (2012 co-authored with Yinan Song), and ‘Algebraic Geometry over C∞-rings’ (2019). Joyce is winner of the LMS Whitehead and Fröhlich prizes, an EMS prize, the Adams prize, and he is a Fellow of the Royal Society.

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