Resumen de Betti numbers of the conormal module of licci rings

Mark R. Johnson, Paolo Mantero

• 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.