Quaternary Quartic Forms and Gorenstein Rings
Author:   Grzegorz Kapustka ,  Michal Kapustka ,  Kristian Ranestad ,  Hal Schenck
Publisher:   American Mathematical Society
ISBN:  

9781470478278


Pages:   124
Publication Date:   28 February 2026
Format:   Paperback
Availability:   In Print   Availability explained
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Quaternary Quartic Forms and Gorenstein Rings


Overview

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Full Product Details

Author:   Grzegorz Kapustka ,  Michal Kapustka ,  Kristian Ranestad ,  Hal Schenck
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470478278


ISBN 10:   1470478277
Pages:   124
Publication Date:   28 February 2026
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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

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Author Information

Grzegorz Kapustka, Jagiellonian University, Krakow, Poland. Michal Kapustka, Institute of Mathematics of the Polish Academy of Sciences, Warszawa, Poland. Kristian Ranestad, Universitetet i Oslo, Norway. Hal Schenck, Auburn University, Alabama, Mike Stillman, Cornell University, Ithaca, New York. Beihui Yuan, Beijing Institute of Mathematical Sciences and Applications, People's Republic of China.

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