1.

Record Nr.

UNINA9910788743903321

Titolo

The Hilbert function of a level algebra / / Anthony V. Geramita, [and others]

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2007

©2007

ISBN

1-4704-0476-1

Descrizione fisica

1 online resource (154 p.)

Collana

Memoirs of the American Mathematical Society, ; ; 0065-9266 Number 872

Classificazione

31.23

Disciplina

512.64

Soggetti

Characteristic functions

Algebra, Homological

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 186, number 872 (second of five numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Part 1. Nonexistence and Existence""; ""Chapter 1. Introduction""; ""Chapter 2. Numerical Conditions""; ""Chapter 3. Homological Methods""; ""Chapter 4. Some Refinements""; ""Chapter 5. Constructing Artinian Level Algebras""; ""5.1. Inverse Systems""; ""5.2. Level Quotients of the Co-ordinate Rings of Points""; ""5.3. Constructing Level Algebras with the WLP""; ""5.4. The Linked-Sum Method""; ""Chapter 6. Constructing Level Sets of Points""; ""6.1. Method 1: Intersection of Suitable Curves""; ""6.2. Method 2: Liaison Tricks""

""6.3. Method 3: Union of suitable sets of points""""6.4. Method 4: General Sets of Points on Suitable curves""; ""Chapter 7. Expected Behavior""; ""Part 2. Appendix: A Classification of Codimension Three Level Algebras of Low Socle Degree""; ""Appendix A. Introduction and Notation""; ""Appendix B. Socle Degree 6 and Type 2""; ""Appendix C. Socle Degree 5""; ""Appendix D. Socle Degree 4""; ""Appendix E. Socle Degree 3""; ""Appendix F. Summary""; ""Appendix. Bibliography""