Download E-books Foliation Theory in Algebraic Geometry (Simons Symposia) PDF

Featuring a mix of unique study papers and finished surveys from a global crew of prime researchers within the thriving fields of foliation idea, holomorphic foliations, and birational geometry, this e-book offers the lawsuits of the convention "Foliation conception in Algebraic Geometry," hosted by means of the Simons origin in manhattan urban in September 2013. 
Topics lined comprise: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the constitution of symmetric differentials on a tender advanced floor and a neighborhood constitution theorem for closed symmetric differentials of rank ; an summary of lifting symmetric differentials from kinds with canonical singularities and the purposes to the category of AT bundles on singular kinds; an outline of the robust thought of the range of minimum rational tangents brought through Hwang and Mok; fresh examples of sorts that are hyperbolic and but the Green-Griffiths locus is the entire of X; and a class of psuedoeffective codimension one distributions.

Foliations play a primary position in algebraic geometry, for instance within the evidence of abundance for threefolds and to an answer of the Green-Griffiths conjecture for surfaces of common variety with confident Segre classification. the aim of this quantity is to foster verbal exchange and allow interactions among specialists who paintings on holomorphic foliations and birational geometry, and to assemble prime researchers to illustrate the robust connection of rules, tools, and pursuits shared via those components of study.

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