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Singularities I: Algebraic and Analytic Aspects
 
Edited by: Jean-Paul Brasselet Institut de Mathématiques de Luminy-CNRS, Marseille, France
José Luis Cisneros-Molina Universidad Nacional Autónoma de México, Cuernavaca, Mexico
David Massey Northeastern University, Boston, MA
José Seade Universidad Nacional Autónoma de México, Cuernavaca, Mexico
Bernard Teissier Institut de Mathématiques de Jussieu-CNRS, Paris, France
Singularities I
eBook ISBN:  978-0-8218-8153-8
Product Code:  CONM/474.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Singularities I
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Singularities I: Algebraic and Analytic Aspects
Edited by: Jean-Paul Brasselet Institut de Mathématiques de Luminy-CNRS, Marseille, France
José Luis Cisneros-Molina Universidad Nacional Autónoma de México, Cuernavaca, Mexico
David Massey Northeastern University, Boston, MA
José Seade Universidad Nacional Autónoma de México, Cuernavaca, Mexico
Bernard Teissier Institut de Mathématiques de Jussieu-CNRS, Paris, France
eBook ISBN:  978-0-8218-8153-8
Product Code:  CONM/474.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4742008; 349 pp
    MSC: Primary 14; 32; 34; 35;

    This is the first part of the Proceedings of the meeting “School and Workshop on the Geometry and Topology of Singularities”, held in Cuernavaca, Mexico, from January 8th to 26th of 2007, in celebration of the 60th Birthday of Lê Dũng Tráng.

    This volume contains fourteen cutting-edge research articles on algebraic and analytic aspects of singularities of spaces and maps. By reading this volume, and the accompanying volume on geometric and topological aspects of singularities, the reader should gain an appreciation for the depth, breadth, and beauty of the subject, and also find a rich source of questions and problems for future study.

    Readership

    Graduate students and research mathematicians interested in analytic and algebraic aspects of singular spaces.

  • Table of Contents
     
     
    • Articles
    • E. Artal Bartolo, Pi. Cassou-Noguès, I. Luengo and A. Melle-Hernández — On the log-canonical threshold for germs of plane curves [ MR 2454343 ]
    • Sylvain E. Cappell, Laurentiu Maxim and Julius L. Shaneson — Intersection cohomology invariants of complex algebraic varieties [ MR 2454344 ]
    • Fouad El Zein — Topology of algebraic morphisms [ MR 2454345 ]
    • Terence Gaffney — Non-isolated complete intersection singularities and the $A_f$ condition [ MR 2454346 ]
    • Ha Huy Khoai — Unique range sets and decomposition of meromorphic functions [ MR 2454347 ]
    • David B. Massey — Enriched relative polar curves and discriminants [ MR 2454348 ]
    • Laurentiu Maxim and Jörg Schürmann — Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property [ MR 2454349 ]
    • Lee J. McEwan — Vertical monodromy and spectrum of a Yomdin series [ MR 2454356 ]
    • Zoghman Mebkhout — Structures de Frobenius et $\mathfrak {E}$xposants de la monodromie $p$-adique des équations différentielles [ MR 2454350 ]
    • L. Narváez Macarro — Linearity conditions on the Jacobian ideal and logarithmic-meromorphic comparison for free divisors [ MR 2454351 ]
    • András Némethi — Poincaré series associated with surface singularities [ MR 2454352 ]
    • Guillaume Rond — Approximation de Artin cylindrique et morphismes d’algèbres analytiques [ MR 2454353 ]
    • Claude Sabbah — An explicit stationary phase formula for the local formal Fourier-Laplace transform [ MR 2454354 ]
    • M. J. Saia and C. H. Soares Júnior — On modified $C^l$-trivialization of $C^{l+1}$-real germs of functions [ MR 2454355 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4742008; 349 pp
MSC: Primary 14; 32; 34; 35;

This is the first part of the Proceedings of the meeting “School and Workshop on the Geometry and Topology of Singularities”, held in Cuernavaca, Mexico, from January 8th to 26th of 2007, in celebration of the 60th Birthday of Lê Dũng Tráng.

This volume contains fourteen cutting-edge research articles on algebraic and analytic aspects of singularities of spaces and maps. By reading this volume, and the accompanying volume on geometric and topological aspects of singularities, the reader should gain an appreciation for the depth, breadth, and beauty of the subject, and also find a rich source of questions and problems for future study.

Readership

Graduate students and research mathematicians interested in analytic and algebraic aspects of singular spaces.

  • Articles
  • E. Artal Bartolo, Pi. Cassou-Noguès, I. Luengo and A. Melle-Hernández — On the log-canonical threshold for germs of plane curves [ MR 2454343 ]
  • Sylvain E. Cappell, Laurentiu Maxim and Julius L. Shaneson — Intersection cohomology invariants of complex algebraic varieties [ MR 2454344 ]
  • Fouad El Zein — Topology of algebraic morphisms [ MR 2454345 ]
  • Terence Gaffney — Non-isolated complete intersection singularities and the $A_f$ condition [ MR 2454346 ]
  • Ha Huy Khoai — Unique range sets and decomposition of meromorphic functions [ MR 2454347 ]
  • David B. Massey — Enriched relative polar curves and discriminants [ MR 2454348 ]
  • Laurentiu Maxim and Jörg Schürmann — Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property [ MR 2454349 ]
  • Lee J. McEwan — Vertical monodromy and spectrum of a Yomdin series [ MR 2454356 ]
  • Zoghman Mebkhout — Structures de Frobenius et $\mathfrak {E}$xposants de la monodromie $p$-adique des équations différentielles [ MR 2454350 ]
  • L. Narváez Macarro — Linearity conditions on the Jacobian ideal and logarithmic-meromorphic comparison for free divisors [ MR 2454351 ]
  • András Némethi — Poincaré series associated with surface singularities [ MR 2454352 ]
  • Guillaume Rond — Approximation de Artin cylindrique et morphismes d’algèbres analytiques [ MR 2454353 ]
  • Claude Sabbah — An explicit stationary phase formula for the local formal Fourier-Laplace transform [ MR 2454354 ]
  • M. J. Saia and C. H. Soares Júnior — On modified $C^l$-trivialization of $C^{l+1}$-real germs of functions [ MR 2454355 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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