Corpus ID: 119138154

The many polarizations of powers of maximal ideals

  title={The many polarizations of powers of maximal ideals},
  author={H. Lohne},
  journal={arXiv: Commutative Algebra},
  • H. Lohne
  • Published 2013
  • Mathematics
  • arXiv: Commutative Algebra
In this paper, we study different polarizations of powers of the maximal ideal m^d, and polarizations of its related square-free version I_d. For n = 3, we show that every minimal free cellular resolution of m^d comes from a certain polarization of the ideal m^d. When I is a square-free ideal, we show that the Alexander dual of any polarization of I is a polarization of the Alexander dual ideal of I. We apply this theorem and study different polarizations of I_d and its Alexander dual I_{n-d+1… Expand
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