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Quaternary Quartic Forms and Gorenstein Rings
 
Grzegorz Kapustka :  Jagiellonian University, Kraków, Poland
Michał Kapustka :  Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland
Kristian Ranestad :  Universitetet i Oslo, Oslo, Norway
Hal Schenck :  Auburn University, Auburn, Alabama
Mike Stillman :  Cornell University, Ithaca, New York
Beihui Yuan :  Beijing Institute of Mathematical Sciences and Applications, Beijing, People’s Republic of China
Softcover ISBN:  978-1-4704-7827-8
Product Code:  MEMO/317/1614
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8586-3
Product Code:  MEMO/317/1614.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7827-8
eBook: ISBN:  978-1-4704-8586-3
Product Code:  MEMO/317/1614.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Add to cart
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Quaternary Quartic Forms and Gorenstein Rings
Grzegorz Kapustka :  Jagiellonian University, Kraków, Poland
Michał Kapustka :  Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland
Kristian Ranestad :  Universitetet i Oslo, Oslo, Norway
Hal Schenck :  Auburn University, Auburn, Alabama
Mike Stillman :  Cornell University, Ithaca, New York
Beihui Yuan :  Beijing Institute of Mathematical Sciences and Applications, Beijing, People’s Republic of China
Softcover ISBN:  978-1-4704-7827-8
Product Code:  MEMO/317/1614
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8586-3
Product Code:  MEMO/317/1614.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7827-8
eBook ISBN:  978-1-4704-8586-3
Product Code:  MEMO/317/1614.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 317; 2026; 124 pp
    MSC: Primary 13; Secondary 14

    View the abstract.
  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries
    • 3. Apolar curves and Betti tables of point sets
    • 4. The quadratic part of the apolar ideal
    • 5. Rank and powersum presentations of quartics
    • 6. Stratifications of the space of quaternary quartics
    • 7. Codimension three varieties in quadrics
    • 8. Irreducible liftings
    • 9. Reducible liftings
    • A. Betti tables for the inverse system
    • B. Betti table subschemes of the Hilbert scheme
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 317; 2026; 124 pp
MSC: Primary 13; Secondary 14

View the abstract.
  • Chapters
  • 1. Introduction
  • 2. Preliminaries
  • 3. Apolar curves and Betti tables of point sets
  • 4. The quadratic part of the apolar ideal
  • 5. Rank and powersum presentations of quartics
  • 6. Stratifications of the space of quaternary quartics
  • 7. Codimension three varieties in quadrics
  • 8. Irreducible liftings
  • 9. Reducible liftings
  • A. Betti tables for the inverse system
  • B. Betti table subschemes of the Hilbert scheme
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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