A study of singularities on rational curves via Syzygies
By: David Cox, Andrew R. Kustin, Claudia Polini, Bernd Ulrich
Series: Memoirs of the American Mathematical Society -- number 1045
Publisher: American Mathematical Society
Published: 2013
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 116
ISBN-13: 9780821887431
Subjects: Commutative algebra; Singularities (Mathematics)
Notes: "March 2013, Volume 222, Number 1045 (fourth of 5 numbers)."

Includes bibliographical references (pages 115-116) and index.
Table of contents: title: Introduction, terminology, and preliminary results; title: The general lemma; title: The triple lemma; title: The BiProj lemma; title: Singularities of multiplicity equal to degree divided by two; title: The space of true triples of forms of degree d : the base point free locus, the birational locus, and the generic Hilbert-Burch matrix; title: Decomposition of the space of true triples; title: The Jacobian matrix and the ramification locus; title: The conductor and the branches of a rational plane curve; title: Rational place quartics : a stratification and the correspondence between the Hilbert-Burch matrices and the configuation of singularities.