A Study of Singularities on Rational Curves via Syzygies
Consider a rational projective curve C of degree d over an algebraically closed field kk. There are n homogeneous forms g1,...,gn of degree d in B=kk[x,y] which parameterise C in a birational, base point free, manner. The authors study the singularities of C by studying a Hilbert-Burch matrix for the row vector [g1,...,gn]. In the General Lemma the authors use the generalised row ideals of φ to identify the singular points on C, their multiplicities, the number of branches at each singular point, and the multiplicity of each branch.
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Produktdetails
Weitere Autoren: Kustin, Andrew R. / Polini, Claudia / Ulrich, Bernd
- ISBN: 978-0-8218-8743-1
- EAN: 9780821887431
- Produktnummer: 23349411
- Verlag: American Mathematical Society
- Sprache: Englisch
- Erscheinungsjahr: 2013
- Seitenangabe: 116 S.
- Masse: H25.4 cm x B17.8 cm
- Sonstiges: Postgraduate, Research & Scholarly
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