@article{932957,
      author = {Carlini, Enrico. and Hà, Huy Tài. and Harbourne, Brian,  and Van Tuyl, Adam.},
      url = {http://library.usi.edu/record/932957},
      title = {Ideals of powers and powers of ideals : intersecting  algebra, geometry, and combinatorics /},
      publisher = {Springer,},
      abstract = {This book discusses regular powers and symbolic powers of  ideals from three perspectives- algebra, combinatorics and  geometry - and examines the interactions between them. It  invites readers to explore the evolution of the set of  associated primes of higher and higher powers of an ideal  and explains the evolution of ideals associated with  combinatorial objects like graphs or hypergraphs in terms  of the original combinatorial objects. It also addresses  similar questions concerning our understanding of the  Castelnuovo-Mumford regularity of powers of combinatorially  defined ideals in terms of the associated combinatorial  data. From a more geometric point of view, the book  considers how the relations between symbolic and regular  powers can be interpreted 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.},
      doi = {https://doi.org/10.1007/978-3-030-45,  https://doi.org/10.1007/978-3-030-45247-6},
      recid = {932957},
      pages = {1 online resource},
      address = {Cham :},
      year = {2020},
}