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.
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
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.
