Ideals with larger projective dimension and regularity

نویسندگان

  • Jesse Beder
  • Jason McCullough
  • Luis Núñez-Betancourt
  • Alexandra Seceleanu
  • Bart Snapp
  • Branden Stone
چکیده

We define a family of homogeneous ideals with large projective dimension and regularity relative to the number of generators and their common degree. This family subsumes and improves upon constructions given in [Cav04] and [McC]. In particular, we describe a family of three-generated homogeneous ideals in arbitrary characteristic whose projective dimension grows

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عنوان ژورنال:
  • J. Symb. Comput.

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2011