Betti numbers of the conormal module of licci rings

• Mark R. Johnson ^[1] ; Paolo Mantero ^[1]
  1. [1] Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR, 72701, USA
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 73, Fasc. 2, 2022, págs. 295-304
• Idioma: inglés
• DOI: 10.1007/s13348-021-00320-x
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• Resumen

  • We establish lower bounds for the Betti numbers of the conormal module for licci ideals in a regular local ring. In particular, for a licci Gorenstein ideal I, the i-th Betti number of I/II/I^{2} is at least 5f_{2i-1}, for i\ge 1, where f_{n} is the n-th Fibonacci number.