ARC Schemes and Singularities

This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme.
Other related topics are also explored, including motivic integration and dual intersection complexes of resolutions of singularities. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory.

Dettagli sul prodotto

• Autori: Johannes Nicaise& Julien David Bourqui
• Con la collaborazione di: David Bourqui (Editore), David (Univ Of Rennes 1 Bourqui (Editore), David Bourqui (Editore), Johannes Nicaise (Editore), Julien Sebag (Editore), Johannes Nicaise (Editore), Johannes (Imperial College London Nicaise (Editore), Julien Sebag (Editore), Julien (Univ Of Rennes 1 Sebag (Editore)
• Editore: WSPC (Europe)
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 31.03.2020
• EAN: 9781786347190
• ISBN: 978-1-78634-719-0
• Pagine: 312
• Dimensioni: 157 mm x 235 mm x 21 mm
• Peso: 605 g
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria