Singularities in Geometry and Topology: Proceedings of the Trieste Singularity Summer School and Workshop Ictp, Trieste, Italy, 15 August - 3 September 2005

by Brasselet, Jean-Paul; Damon, James; Trang, Le Dung; Oka, Mutsuo

• ISBN13: 9789812700223
• ISBN10: 9812700226
• Format: Hardcover
• Copyright: 2007-01-16
• Publisher: World Scientific Pub Co Inc

Table of Contents

Introduction to basic toric geometry	p. 3
Poincare-Hopf theorems on singular varieties	p. 57
Notes on real and complex analytic and semianalytic singularities	p. 81
On Milnor's fibration theorem for real and complex singularities	p. 127
Introduction to complex analytic geometry	p. 161
Metric theory of singularities : Lipschitz geometry of singular spaces	p. 223
Lectures on monodromy	p. 234
Computational aspects of singularities	p. 253
Lagrangian and legendrian varieties and stability of their projections	p. 328
A resolution of singularities of a toric variety and a non-degenerate hypersurface	p. 354
Problems in topology of the complements to plane singular curves	p. 370
Topology of degeneration of Riemann surfaces	p. 388
Graded roots and singularities	p. 394
Chern classes and thom polynomials	p. 464
McKay correspondence for quotient surface singularities	p. 483
Lectures on the topology of polynomial functions and singularities at infinity	p. 520
Hodge theory : the search for purity	p. 556
On sufficiency of jets	p. 585
Singularity theory approach to time averaged optimization	p. 598
Indices of collections of 1-forms	p. 629
A Lefschetz theorem on the Picard group of complex projective varieties	p. 640
Braid monodromy and [pi][subscript 1] of discriminant complements	p. 661
Tangential Alexander polynomials and non-reduced degeneration	p. 669
On rigidity of germs of holomorphic dicritic foliations and formal normal forms	p. 705
Polar multiplicities and Euler obstruction of the stable types in weighted homogeneous map germs from C[superscript n] to C[superscript 3], n [is greater than or equal to] 3	p. 723
Logarithmic vector fields and multiplication table	p. 749
Some surface singularities obtained via lie algebras	p. 779
Maxwell strata and caustics	p. 787
Complex curve singularities : a biased introduction	p. 825
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