CPL - Chalmers Publication Library

# On a representation of the fundamental class of an ideal due to Lejeune-Jalabert

Elizabeth Wulcan (Institutionen för matematiska vetenskaper, matematik)
Annales de la Faculté des Sciences de Toulouse (0240-2963 ). Vol. 25 (2016), 5, p. 1051-1078.

Lejeune-Jalabert showed that the fundamental class of a Cohen-Macaulay ideal \$\a\subset \Ok_0\$ admits a representation as a residue, constructed from a free resolution of \$\a\$, multiplied by a certain differential form coming from the resolution. We give an explicit description of this differential form in the case when the free resolution is the Scarf resolution of a generic monomial ideal. As a consequence we get a new proof and a refinement of Lejeune-Jalabert's result in this case.