Higher initial ideals of homogeneous ideals / Gunnar Fløystad.

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Bibliographic Details
Main Author:	Fløystad, Gunnar, 1963-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, ©1998.
Series:	Memoirs of the American Mathematical Society ; no. 638.
Subjects:	Ideals (Algebra) Homology theory. Curves, Algebraic. Complexes. MATHEMATICS > Essays. MATHEMATICS > Pre-Calculus. MATHEMATICS > Reference. Complexes Curves, Algebraic Homology theory
Online Access:	Click for online access

Table of Contents:

Introduction 1. Borel-fixed ideals 2. Monomial orders 3. Some algebraic lemmas 4. Defining the higher initial ideals 5. Representing the higher initial ideals 6. Group action on $R^{s+1}(I)$ 7. Describing the action on $R^{s+1}(I)$ 8. Borel-fixedness 9. Higher initial ideals of hyperplane sections 10. Representing the higher initial ideals of general hyperplane sections 11. Higher initial ideals as combinatorial structures 12. Reading cohomological information 13. Examples: Points and curves in $\mathbf {P}^3$

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