Moteur de recherche d’entreprises européennes

Conseils & Astuces
Nos pages FAQ tout sur la recherche en un clic et aperçu de la recherche avancée expliquent comment utiliser notre moteur de recherche.

UK funding (614 203 £) : The Homological Minimal Model Program Ukri01/04/2013 UK Research and Innovation, Royaume Uni

Vue d’ensemble

Texte

The Homological Minimal Model Program

Abstract One of the more startling discoveries of twentieth century mathematics was the realization that, in contrast to the theory of surfaces, and in contrast to many results and the prevailing wisdom, in dimension three geometric minimal models may be singular. Thus the `best' answers, indeed the spaces we are aiming for, may themselves have singularities. This project aims to understand these structures from a homological viewpoint, and will give new information even in the well-studied cases. Current derived category techniques focus on situations where the minimal models are smooth, whereas this project will push both our theoretical understanding and our computational ability deep into the singular setting. The first part of this project develops the homological algebra surrounding reconstruction algebras and maximal modification algebras, strengthening them and extending them in many new directions. These new techniques will then be applied to algebraic geometry, and will recover the existence of geometric minimal models in dimension three as a special case. The techniques, however, will give much more, and in the main body of this work we use this extra data to obtain information regarding contraction of curves and flops; this then allows us to run aspects of the minimal model program in an algorithmic manner.
Category Fellowship
Reference EP/K021400/1
Status Closed
Funded period start 01/04/2013
Funded period end 31/05/2016
Funded value £614 203,00
Source https://gtr.ukri.org/projects?ref=EP%2FK021400%2F1

Participating Organisations

University of Edinburgh

SERVICE DATA

Exploitez tout le potentiel des données d’entreprises traitées grâce à notre API ou aux exportations trimestrielles.

Cette annonce se réfère à une date antérieure et ne reflète pas nécessairement l’état actuel. L’état actuel est présenté à la page suivante : University OF Edinburgh CHARITY, Edinburgh, Royaume Uni.

Creative Commons License Les visualisations de "University of Edinburgh - UK funding (614 203 £) : The Homological Minimal Model Program" sont mis à disposition par North Data et peuvent être réutilisées selon les termes de la licence Creative Commons CC-BY.