Foliation Theory in Algebraic Geometry (Simons Symposia) by Paolo Cascini,James McKernan,Jorge Vitório Pereira

By Paolo Cascini,James McKernan,Jorge Vitório Pereira

Featuring a mix of unique learn papers and entire surveys from a global workforce of best researchers within the thriving fields of foliation thought, holomorphic foliations, and birational geometry, this booklet offers the lawsuits of the convention "Foliation idea in Algebraic Geometry," hosted by way of the Simons origin in long island urban in September 2013. 
Topics lined contain: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the constitution of symmetric differentials on a gentle complicated floor and an area constitution theorem for closed symmetric differentials of rank ; an summary of lifting symmetric differentials from types with canonical singularities and the purposes to the category of AT bundles on singular kinds; an summary of the strong conception of the range of minimum rational tangents brought by means of Hwang and Mok; fresh examples of types that are hyperbolic and but the Green-Griffiths locus is the full of X; and a category of psuedoeffective codimension one distributions.

Foliations play a primary position in algebraic geometry, for instance within the facts of abundance for threefolds and to an answer of the Green-Griffiths conjecture for surfaces of common variety with confident Segre category. the aim of this quantity is to foster conversation and permit interactions among specialists who paintings on holomorphic foliations and birational geometry, and to collect top researchers to illustrate the robust connection of principles, tools, and pursuits shared via those components of study.

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