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

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Author/Creator:
Cox, David A.
Language:
English.
Publication date:
2013
Publication:
Providence, Rhode Island : American Mathematical Society, 2013.
Format:
  • Book
  • ix, 116 pages ; 25 cm.
Note:
"March 2013, Volume 222, Number 1045 (fourth of 5 numbers)."
Bibliography:
Includes bibliographical references (pages 115-116) and index.
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.
Contributor:
Kustin, Andrew R.
Polini, Claudia.
Ulrich, Bernd.
Series:
Memoirs of the American Mathematical Society, 0065-9266 ; no. 1045
Memoirs of the American Mathematical Society ; no. 1045.
Subjects:
ISBN:
9780821887431
0821887432

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