A study of singularities on rational curves via Syzygies /

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Bibliographic Details
Main Authors: Cox, David A. (Author)
Group Author: Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd
Published: American Mathematical Society,
Publisher Address: Providence, Rhode Island :
Publication Dates: 2013.
Literature type: Book
Language: English
Series: Memoirs of the American Mathematical Society, no. 1045
Subjects:
Item Description: "March 2013, Volume 222, Number 1045 (fourth of 5 numbers)."
Carrier Form: ix, 116 pages ; 25 cm.
Bibliography: Includes bibliographical references.
ISBN: 9780821887431 (paperback) :
0821887432 (paperback)
Index Number: QA614
CLC: O192
Call Number: O192/C877
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 configuation of singularities.