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The Moduli Space of Cubic Threefolds as a Ball Quotient
 
Daniel Allcock University of Texas at Austin, Austin, TX
James A. Carlson University of Utah, Salt Lake City, UT
Domingo Toledo University of Utah, Salt Lake City, UT
The Moduli Space of Cubic Threefolds as a Ball Quotient
eBook ISBN:  978-1-4704-0599-1
Product Code:  MEMO/209/985.E
List Price: $70.00
MAA Member Price: $63.00
AMS Member Price: $42.00
The Moduli Space of Cubic Threefolds as a Ball Quotient
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The Moduli Space of Cubic Threefolds as a Ball Quotient
Daniel Allcock University of Texas at Austin, Austin, TX
James A. Carlson University of Utah, Salt Lake City, UT
Domingo Toledo University of Utah, Salt Lake City, UT
eBook ISBN:  978-1-4704-0599-1
Product Code:  MEMO/209/985.E
List Price: $70.00
MAA Member Price: $63.00
AMS Member Price: $42.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2092011; 70 pp
    MSC: Primary 32; Secondary 14;

    The moduli space of cubic threefolds in \(\mathbb{C}P^4\), with some minor birational modifications, is the Baily-Borel compactification of the quotient of the complex 10-ball by a discrete group. The authors describe both the birational modifications and the discrete group explicitly.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Moduli of Smooth Cubic Threefolds
    • 2. The Discriminant near a Chordal Cubic
    • 3. Extension of the Period Map
    • 4. Degeneration to a Chordal Cubic
    • 5. Degeneration to a Nodal Cubic
    • 6. The Main Theorem
    • 7. The Monodromy Group and Hyperplane Arrangement
  • 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: 2092011; 70 pp
MSC: Primary 32; Secondary 14;

The moduli space of cubic threefolds in \(\mathbb{C}P^4\), with some minor birational modifications, is the Baily-Borel compactification of the quotient of the complex 10-ball by a discrete group. The authors describe both the birational modifications and the discrete group explicitly.

  • Chapters
  • Introduction
  • 1. Moduli of Smooth Cubic Threefolds
  • 2. The Discriminant near a Chordal Cubic
  • 3. Extension of the Period Map
  • 4. Degeneration to a Chordal Cubic
  • 5. Degeneration to a Nodal Cubic
  • 6. The Main Theorem
  • 7. The Monodromy Group and Hyperplane Arrangement
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.