Study of Singularities on Rational Curves Via Syzygies.
Cox, David.
Study of Singularities on Rational Curves Via Syzygies. - 1st ed. - 1 online resource (132 pages) - Memoirs of the American Mathematical Society ; v.222 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Abstract -- Chapter 0. Introduction, terminology, and preliminary results -- 1. Introduction -- 2. Terminology -- 3. Preliminary results -- Chapter 1. The General Lemma -- Chapter 2. The Triple Lemma -- Chapter 3. The BiProj Lemma -- Chapter 4. Singularities of multiplicity equal to degree divided by two -- Chapter 5. The space of true triples of forms of degree : the base point free locus, the birational locus, and the generic Hilbert-Burch matrix -- Chapter 6. Decomposition of the space of true triples -- Chapter 7. The Jacobian matrix and the ramification locus -- Chapter 8. The conductor and the branches of a rational plane curve -- Chapter 9. Rational plane quartics: a stratification and the correspondence between the Hilbert-Burch matrices and the configuration of singularities -- Bibliography.
9780821895139
Singularities (Mathematics).
Commutative algebra.
Electronic books.
QA614.58 -- .S783 2012eb
514/.746
Study of Singularities on Rational Curves Via Syzygies. - 1st ed. - 1 online resource (132 pages) - Memoirs of the American Mathematical Society ; v.222 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Abstract -- Chapter 0. Introduction, terminology, and preliminary results -- 1. Introduction -- 2. Terminology -- 3. Preliminary results -- Chapter 1. The General Lemma -- Chapter 2. The Triple Lemma -- Chapter 3. The BiProj Lemma -- Chapter 4. Singularities of multiplicity equal to degree divided by two -- Chapter 5. The space of true triples of forms of degree : the base point free locus, the birational locus, and the generic Hilbert-Burch matrix -- Chapter 6. Decomposition of the space of true triples -- Chapter 7. The Jacobian matrix and the ramification locus -- Chapter 8. The conductor and the branches of a rational plane curve -- Chapter 9. Rational plane quartics: a stratification and the correspondence between the Hilbert-Burch matrices and the configuration of singularities -- Bibliography.
9780821895139
Singularities (Mathematics).
Commutative algebra.
Electronic books.
QA614.58 -- .S783 2012eb
514/.746