A study of singularities on rational curves via Syzygies / David Cox, Andrew R. Kustin, Claudia Polini, Bernd Ulrich.

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Bibliographic Details
Main Authors:	Cox, David A. (Author), Kustin, Andrew R., 1953- (Author), Polini, Claudia, 1966- (Author), Ulrich, Bernd, 1954- (Author)
Format:	eBook
Language:	English
Published:	Providence, Rhode Island : American Mathematical Society, [2013]
Series:	Memoirs of the American Mathematical Society ; no. 1045.
Subjects:	Singularities (Mathematics) Commutative algebra. MATHEMATICS > Topology. Commutative algebra
Online Access:	Click for online access

Table of Contents:

Introduction, terminology, and preliminary results
The general lemma
The triple lemma
The BiProj lemma
Singularities of multiplicity equal to degree divided by two
The space of true triples of forms of degree d: the base point free locus, the birational locus, and the generic Hilbert-Burch matrix
Decomposition of the space of true triples
The Jacobian matrix and the ramification locus
The conductor and the branches of a rational plane curve
Rational place quartics: a stratification and the correspondence between the Hilbert-Burch matrices and the configuration of singularities.

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