Murphy’s law for Hilbert function strata in the Hilbert scheme of points
نویسندگان
چکیده
منابع مشابه
Gröbner Strata in the Hilbert Scheme of Points
Given a standard set δ of a finite size r, we show that the functor associating to a k-algebra B the set of all reduced Gröbner bases with standard set δ is representable. We show that the representing scheme Hilb′ δ k[x]/k is a locally closed stratum in Hilb r k[x]/k, the Hilbert scheme of points. Moreover, we cover the Hilbert scheme of points by open affine subschemes attached to all standar...
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Given a standard set δ of a finite size r, we show that the functor associating to a k-algebra B the set of all reduced Gröbner bases with standard set δ is representable. We show that the representing scheme Hilb′ δ k[x]/k is a locally closed stratum in the punctual Hilbert scheme Hilbrk[x]/k. Moreover, we cover the punctual Hilbert scheme by open affine subschemes attached to all standard set...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2012
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2012.v19.n6.a8