Higher initial ideals of homogeneous ideals / Gunnar Fløystad.

Format:

Book

Author/Creator:

Fløystad, Gunnar, 1963- author.

Series:

Memoirs of the American Mathematical Society ; no. 638.

Memoirs of the American Mathematical Society, 0065-9266 ; number 638

Language:

English

Subjects (All):

Ideals (Algebra).

Homology theory.

Curves, Algebraic.

Complexes.

Physical Description:

1 online resource (82 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1998]

Language Note:

English

Summary:

Given a homogeneous ideal I and a monomial order, the initials ideal in (I) can be formed. The initial idea gives information about I, but quite a lot of information is also lost. The author remedies this by defining a series of higher initial ideals of a homogenous ideal, and considers the case when I is the homogenous ideal of a curve in P3 and the monomial order is reverse lexicographic. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Contents:

""Contents""; ""Introduction""; ""Section 1. Borel-fixed ideals""; ""Section 2. Monomial orders""; ""Section 3. Some algebraic lemmas""; ""Section 4. Defining the higher initial ideals""; ""Section 5. Representing the higher initial ideals""; ""Section 6. Group action on R[sup(s+1)](I)""; ""Section 7. Describing the action on R[sup(s+1)](I)""; ""Section 8. Borel-fixedness""; ""Section 9. Higher initial ideals of hyperplane sections""; ""Section 10. Representing the higher initial ideals of general hyperplane sections""; ""Section 11. Higher initial ideals as combinatorial structures""

""Section 12. Reading cohomological information""""Section 13. Examples : Points and curves in P[sup(3)]""; ""References""

Notes:

"July 1998, volume 134, number 638 (fourth of 6 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0227-0