Blowups in tame monomial ideals

Details Blowups in tame monomial ideals Blowups in tame monomial ideals

2009-05-28

arxiv.org/abs/0905.4511v1

Mathematics

Algebraic Geometry

22 pages, 4 figures

Scientific paper

We study blowups of affine n-space with center an arbitrary monomial ideal
and call monomial ideals that render smooth blowups tame ideals. We give a
combinatorial criterion to decide whether the blowup is smooth and apply this
criterion to discuss a smoothing procedure proposed by Rosenberg, monomial
building sets and permutohedra.

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