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A family of complexes associated to an almost alternating map, with applications to residual intersections

About this Title

Andrew R. Kustin and Bernd Ulrich

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 95, Number 461
ISBNs: 978-0-8218-2519-8 (print); 978-1-4704-0887-9 (online)
MathSciNet review: 1091668
MSC: Primary 13D25; Secondary 13C14, 13C40

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Table of Contents


  • Introduction
  • 1. Preliminary concepts
  • 2. The definition of the family $\{\mathfrak {D}^q\}$
  • 3. Each $\mathfrak {D}^q$ is a complex
  • 4. Elementary facts about the complexes $\{\mathfrak {D}^q\}$
  • 5. Grade calculations
  • 6. Acyclicity in the case $f = 0$
  • 7. Acyclicity in the generic case
  • 8. Acyclicity in the non-generic case
  • 9. Properties of the rings $R/J$ in the generic case
  • 10. The residual intersection of a grade three Gorenstein ideal