Bøger i London Mathematical Society Le serien

Crossing the boundary between differential and algebraic geometry, the authors introduce algebro-geometric methods into differential geometry, allowing differential geometers to study singular or infinite-dimensional spaces. In particular the authors discuss 'C8-schemes with corners', differential-geometric spaces with a good notion of boundary.

"This text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics, offering a new conceptual treatment of the twisting procedure. It includes many motivating examples to render the theory accessible to graduate students, as well as a survey of recent applications"--

This book determines whether the general member of each family of smooth Fano threefolds admits a Kahler-Einstein metric, using K-stability. Complemented by appendices outlining results needed to understand this active area, it will be essential reading for researchers and graduate students working on algebraic and complex geometry.

"This short book gives an overview of rectifiability and its deep connections with surprisingly large parts of mathematics. It avoids long technical arguments in favour of the big picture, with full references given via an extensive bibliography, giving readers an easily digestible presentation of this wide and active field"--