Singularities and their interaction with geometry and low dimensional topology : in honor of András Némethi

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Bibliographic Information

Singularities and their interaction with geometry and low dimensional topology : in honor of András Némethi

Javier Fernández de Bobadilla, Tamás László, András Stipsicz, editors

(Trends in mathematics)

Birkhäuser , Springer, c2021

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Includes bibliographical references

Description and Table of Contents

Description

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the "Nemethi60: Geometry and Topology of Singularities" conference held at the Alfred Renyi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor Andras Nemethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.

Table of Contents

Versality, bounds of global Tjurina numbers and logarithmic vector fields along hypersurfaces with isolated singularities.- On ideal filtrations for Newton nondegenerate surface singularities.- Young walls and equivariant Hilbert schemes of points in type D.- Real Seifert forms, Hodge numbers and Blanchfield pairings.- h-deformed Schubert calculus in equivariant cohomology, K-theory, and elliptic cohomology.- Fundamental groups and path lifting for algebraic varieties.- Cremona transformations of weighted projective planes, Zariski pairs, and rational cuspidal curves.- Normal reduction numbers of normal surface singularities.- Motivic Chern classes of cones.- Semicontinuity of Singularity Invariants in Families of Formal Power Series.- Lattices and correction terms.- Complex surface singularities with rational homology disk smoothings.- On Tjurina Transform and Resolution of Determinantal Singularities.- On the boundary of the Milnor fiber.

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Details

  • NCID
    BC07803497
  • ISBN
    • 9783030619572
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    [S.l.],Cham
  • Pages/Volumes
    xvi, 332 p.
  • Size
    25 cm
  • Parent Bibliography ID
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