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- W4298845925 abstract "We generalize an algorithm by Goward for principalization of monomial ideals in nonsingular varieties to work on any scheme of finite type over a field. The normal crossings condition considered by Goward is weakened to the condition that components of the generating divisors meet as complete intersections. This leads to a substantial generalization of the notion of monomial scheme; we call the resulting schemes `c.i. monomial'. We prove that c.i. monomial schemes in arbitrarily singular varieties can be principalized by a sequence of blow-ups at codimension 2 c.i. monomial centers." @default.
- W4298845925 created "2022-10-02" @default.
- W4298845925 creator A5008528604 @default.
- W4298845925 date "2013-10-04" @default.
- W4298845925 modified "2023-10-16" @default.
- W4298845925 title "Monomial principalization in the singular setting" @default.
- W4298845925 doi "https://doi.org/10.48550/arxiv.1310.1261" @default.
- W4298845925 hasPublicationYear "2013" @default.
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