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Titlebook: Ideals of Powers and Powers of Ideals; Intersecting Algebra Enrico Carlini,Huy Tài Hà,Adam Van Tuyl Book 2020 The Editor(s) (if applicable)

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Problems, Questions, and Inductive TechniquesIn this chapter, we present a number of open problems and questions for edge ideals of graphs. These problems and questions fall under the umbrella of Problem .. We shall also discuss inductive techniques that have been applied in the literature.
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Examples of the Inductive TechniquesIn this chapter, we present detailed proofs of a few stated results to illustrate how the inductive techniques introduced in the last chapter can be applied to the study of the regularity of powers of edge ideals.
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Final Comments and Further ReadingThe recent survey and the lecture notes of Grifo provide more information on symbolic powers and the containment problem for ideals.
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Book 2020interpreted in geometrical terms.  Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes...
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e (that is, the size of its parts such as limbs, trunk, and roots), the amount of each resource it needs to survive, to grow, and/or reproduce itself (that is, produce fruits). The model has been applied to the simulation of populations consisting of robiniae (black locust), oak, and pine trees on t
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