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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Foliation Theory in Algebraic Geometry (Hardcover, 1st ed. 2016)
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Foliation Theory in Algebraic Geometry (Hardcover, 1st ed. 2016)
Series: Simons Symposia
Expected to ship within 12 - 17 working days
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Featuring a blend of original research papers and comprehensive
surveys from an international team of leading researchers in the
thriving fields of foliation theory, holomorphic foliations, and
birational geometry, this book presents the proceedings of the
conference "Foliation Theory in Algebraic Geometry," hosted by the
Simons Foundation in New York City in September 2013. Topics
covered include: Fano and del Pezzo foliations; the cone theorem
and rank one foliations; the structure of symmetric differentials
on a smooth complex surface and a local structure theorem for
closed symmetric differentials of rank two; an overview of lifting
symmetric differentials from varieties with canonical singularities
and the applications to the classification of AT bundles on
singular varieties; an overview of the powerful theory of the
variety of minimal rational tangents introduced by Hwang and Mok;
recent examples of varieties which are hyperbolic and yet the
Green-Griffiths locus is the whole of X; and a classification of
psuedoeffective codimension one distributions. Foliations play a
fundamental role in algebraic geometry, for example in the proof of
abundance for threefolds and to a solution of the Green-Griffiths
conjecture for surfaces of general type with positive Segre class.
The purpose of this volume is to foster communication and enable
interactions between experts who work on holomorphic foliations and
birational geometry, and to bring together leading researchers to
demonstrate the powerful connection of ideas, methods, and goals
shared by these two areas of study.
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