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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)
DOI: http://dx.doi.org/10.1090/memo/0461
MathSciNet review: 1091668
MSC (1991): Primary 13D25; Secondary 13C14, 13C40

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Table of Contents


Chapters

  • Introduction
  • 1. Preliminary concepts
  • 2. The definition of the family
  • 3. Each is a complex
  • 4. Elementary facts about the complexes
  • 5. Grade calculations
  • 6. Acyclicity in the case
  • 7. Acyclicity in the generic case
  • 8. Acyclicity in the non-generic case
  • 9. Properties of the rings in the generic case
  • 10. The residual intersection of a grade three Gorenstein ideal