Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Enumerative Algebraic Geometry
 
Enumerative Algebraic Geometry
Softcover ISBN:  978-0-8218-5131-9
Product Code:  CONM/123
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7711-1
Product Code:  CONM/123.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5131-9
eBook: ISBN:  978-0-8218-7711-1
Product Code:  CONM/123.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Enumerative Algebraic Geometry
Click above image for expanded view
Enumerative Algebraic Geometry
Softcover ISBN:  978-0-8218-5131-9
Product Code:  CONM/123
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7711-1
Product Code:  CONM/123.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5131-9
eBook ISBN:  978-0-8218-7711-1
Product Code:  CONM/123.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1231992; 278 pp
    MSC: Primary 14

    1989 marked the 150th anniversary of the birth of the great Danish mathematician Hieronymus Georg Zeuthen. Zeuthen's name is known to every algebraic geometer because of his discovery of a basic invariant of surfaces. However, he also did fundamental research in intersection theory, enumerative geometry, and the projective geometry of curves and surfaces. Zeuthen's extraordinary devotion to his subject, his characteristic depth, thoroughness, and clarity of thought, and his precise and succinct writing style are truly inspiring.

    During the past ten years or so, algebraic geometers have reexamined Zeuthen's work, drawing from it inspiration and new directions for development in the field. The 1989 Zeuthen Symposium, held in the summer of 1989 at the Mathematical Institute of the University of Copenhagen, provided a historic opportunity for mathematicians to gather and examine those areas in contemporary mathematical research which have evolved from Zeuthen's fruitful ideas. This volume, containing papers presented during the symposium, as well as others inspired by it, illuminates some currently active areas of research in enumerative algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • Steven L. Kleiman — Hieronymus Georg Zeuthen (1839–1920) [ MR 1143544 ]
    • Paolo Aluffi — How many smooth plane cubics with given $j$-invariant are tangent to $8$ lines in general position? [ MR 1143545 ]
    • Susan Jane Colley and Gary Kennedy — Triple and quadruple contact of plane curves [ MR 1143546 ]
    • Marc Coppens and Trygve Johnsen — Secant lines of smooth projective curves; an infinitesimal study of the symmetric products [ MR 1143547 ]
    • Abramo Hefez and Neuza Kakuta — New bounds for Fermat curves over finite fields [ MR 1143548 ]
    • Sheldon Katz — Discriminants and limits of duals of plane curves [ MR 1143549 ]
    • Steven Kleiman and Ragni Piene — On the inseparability of the Gauss map [ MR 1143550 ]
    • Dan Laksov and Anders Thorup — The Brill-Segre formula for families of curves [ MR 1143551 ]
    • Raquel Mallavibarrena and Ragni Piene — Duality for elliptic normal surface scrolls [ MR 1143552 ]
    • Arthur Mattuck — A note on the Riemann-Kempf theorem for curves [ MR 1143553 ]
    • J. M. Miret and S. Xambó-Descamps — On the geometry of nodal plane cubics: the condition $p$ [ MR 1143554 ]
    • Adam Parusiński and Piotr Pragacz — Characteristic numbers of degeneracy loci [ MR 1143555 ]
    • C. Procesi and S. Xambó-Descamps — On Halphen’s first formula [ MR 1143556 ]
    • Paul Roberts — Negative intersection multiplicities on singular varieties [ MR 1143557 ]
    • Francesc Rosselló — Triple contact formulas in ${\bf P}^3$ [ MR 1143558 ]
    • Israel Vainsencher — Elliptic quartic curves in a generic quintic threefold [ MR 1143559 ]
    • Leendert J. van Gastel — Characteristic numbers of plane curves: an excess intersection theoretical approach [ MR 1143560 ]
    • Leendert J. van Gastel — Degenerations of conormal varieties [ MR 1143561 ]
  • 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: 1231992; 278 pp
MSC: Primary 14

1989 marked the 150th anniversary of the birth of the great Danish mathematician Hieronymus Georg Zeuthen. Zeuthen's name is known to every algebraic geometer because of his discovery of a basic invariant of surfaces. However, he also did fundamental research in intersection theory, enumerative geometry, and the projective geometry of curves and surfaces. Zeuthen's extraordinary devotion to his subject, his characteristic depth, thoroughness, and clarity of thought, and his precise and succinct writing style are truly inspiring.

During the past ten years or so, algebraic geometers have reexamined Zeuthen's work, drawing from it inspiration and new directions for development in the field. The 1989 Zeuthen Symposium, held in the summer of 1989 at the Mathematical Institute of the University of Copenhagen, provided a historic opportunity for mathematicians to gather and examine those areas in contemporary mathematical research which have evolved from Zeuthen's fruitful ideas. This volume, containing papers presented during the symposium, as well as others inspired by it, illuminates some currently active areas of research in enumerative algebraic geometry.

  • Articles
  • Steven L. Kleiman — Hieronymus Georg Zeuthen (1839–1920) [ MR 1143544 ]
  • Paolo Aluffi — How many smooth plane cubics with given $j$-invariant are tangent to $8$ lines in general position? [ MR 1143545 ]
  • Susan Jane Colley and Gary Kennedy — Triple and quadruple contact of plane curves [ MR 1143546 ]
  • Marc Coppens and Trygve Johnsen — Secant lines of smooth projective curves; an infinitesimal study of the symmetric products [ MR 1143547 ]
  • Abramo Hefez and Neuza Kakuta — New bounds for Fermat curves over finite fields [ MR 1143548 ]
  • Sheldon Katz — Discriminants and limits of duals of plane curves [ MR 1143549 ]
  • Steven Kleiman and Ragni Piene — On the inseparability of the Gauss map [ MR 1143550 ]
  • Dan Laksov and Anders Thorup — The Brill-Segre formula for families of curves [ MR 1143551 ]
  • Raquel Mallavibarrena and Ragni Piene — Duality for elliptic normal surface scrolls [ MR 1143552 ]
  • Arthur Mattuck — A note on the Riemann-Kempf theorem for curves [ MR 1143553 ]
  • J. M. Miret and S. Xambó-Descamps — On the geometry of nodal plane cubics: the condition $p$ [ MR 1143554 ]
  • Adam Parusiński and Piotr Pragacz — Characteristic numbers of degeneracy loci [ MR 1143555 ]
  • C. Procesi and S. Xambó-Descamps — On Halphen’s first formula [ MR 1143556 ]
  • Paul Roberts — Negative intersection multiplicities on singular varieties [ MR 1143557 ]
  • Francesc Rosselló — Triple contact formulas in ${\bf P}^3$ [ MR 1143558 ]
  • Israel Vainsencher — Elliptic quartic curves in a generic quintic threefold [ MR 1143559 ]
  • Leendert J. van Gastel — Characteristic numbers of plane curves: an excess intersection theoretical approach [ MR 1143560 ]
  • Leendert J. van Gastel — Degenerations of conormal varieties [ MR 1143561 ]
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
Please select which format for which you are requesting permissions.