This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

*Algebra, geometry and their interactions.* Edited by: Corso, A; Migliore, J; Polini, C (2007). Providence, RI: American Mathematical Society.

## Abstract

This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

## Altmetrics

## Additional indexing

Other titles: | Papers from the International Conference "Midwest Algebra, Geometry and Their Interactions" (MAGIC '05) held at the University of Notre Dame, Notre Dame, IN, October 7--11, 2005 |
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Item Type: | Edited Scientific Work |

Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |

Dewey Decimal Classification: | 510 Mathematics |

Date: | 2007 |

Deposited On: | 11 Nov 2009 09:38 |

Last Modified: | 05 Apr 2016 13:23 |

Publisher: | American Mathematical Society |

Series Name: | Contemporary Mathematics |

Volume: | 448 |

Number of Pages: | 270 |

ISSN: | 0271-4132 |

ISBN: | 978-0-8218-4094-8 |

Free access at: | Related URL. An embargo period may apply. |

Official URL: | http://www.ams.org/bookstore-getitem/item=CONM-448 |

Related URLs: | http://books.google.com/books?id=32WoI0aRXTQC&printsec=frontcover&dq=%22Algebra,+geometry+and+their+interactions%22&source=bl&ots=SI_UXhA0-s&sig=rRYAsGMGvNHDvHQGDS7HGRDGknQ&hl=de&ei=OhV8S7zFLY_W-QaZ_7jXBQ&sa=X&oi=book_result&ct=result&resnum=1&ved=0CAoQ6A |

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