Hilbert Function of A Level Algebra.

Intro -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.