This book collects original and survey papers on Singularities in Geometry and Topology, which resulted from the 6th Franco-Japanese Symposium on Singularities, held in Fukuoka, during September 5-10, 2011. Though singularity theory was born in the XIXth century, this field of research became more popular in France after Prof. Heisuke Hironaka came to Paris. Then, a lot of collaborations between Japanese and French mathematicians started, and the conferences on Singularities in Geometry and Topology continue to develop this collaboration between France and Japan. This volume consists of 2 survey articles and 12 research articles, whose topics include algebraic curves and varieties, line arrangements, mixed polynomials, algebraic local cohomology classes, stable maps, and mirror symmetry. This book is recommended to any researcher or graduate student interested in singularity theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Les mer
Contains original and survey papers on Singularities in Geometry and Topology, which resulted from the Sixth Franco-Japanese Symposium on Singularities, held in Fukuoka. This volume consists of two survey articles and 12 research articles whose topics include algebraic curves and varieties, line arrangements, mixed polynomials, algebraic local cohomology classes, stable maps, and mirror symmetry.
Les mer
I. Survey Articles: Smooth double subvarieties on singular varieties. II by M. R. Gonzalez-DorregoSurvey of apparent contours of stable maps between surfaces by T. Yamamoto II.Research Articles: Valuations divisorielles et connexite en codimension 1 by C. BeddaniThe Alexander module of a trigonal curve. II by A. DegtyarevMonodromy of triple point line arrangements by A. DimcaOn fibered links of singularities of polar weighted homogeneous mixed polynomials by K. InabaOn classes in the classification of curves on rational surfaces with respect to logarithmic plurigenera by H. IshidaThe links specific to hypersurface simple $K3$ singularities by A. KatanagaOn (4,3) line degenerated torus curves and torus decompositions by M. KawashimaOn the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities by K. Nabeshima and S. TajimaSome geometric-arithmetic aspects of separated variable curves by V. K. NguyenMixed functions of strongly polar weighted homogeneous face type by M. OkaSingular fibers in barking families of degenerations of elliptic curves by T. OkudaMirror symmetry between orbifold projective lines and cusp singularities by A. Takahashi
Les mer
Produktdetaljer
ISBN
9784864970266
Publisert
2016-02-19
Utgiver
Vendor
Mathematical Society of Japan
Aldersnivå
UP, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
282
Biographical note
Vincent Blanloeil, Universite de Strasbourg I, France.Osamu Saeki, Kyushu University, Fukuoka, Japan.