TY - BOOK AU - Cox,David AU - Kustin,Andrew R. AU - Polini,Claudia AU - Cox,David TI - Study of Singularities on Rational Curves Via Syzygies T2 - Memoirs of the American Mathematical Society SN - 9780821895139 AV - QA614.58 -- .S783 2012eb U1 - 514/.746 PY - 2013/// CY - Providence PB - American Mathematical Society KW - Singularities (Mathematics) KW - Commutative algebra KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114505 ER -