Quaternary Quartic Forms and Gorenstein Rings
Published on 28. February 2026
Book
Paperback/Softback
124 pages
978-1-4704-7827-8 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7827-8 (9781470478278)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
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.
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.
Content
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
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