Minh Công Nguyễn

Cohen-Macaulay higher conormal and K\"ahler differential modules of squarefree monomial ideals

Let $S=k[x_1,\ldots,x_n]$ and let $I=I_\Delta\subsetneq S$ be a nonzero squarefree monomial ideal. Motivated by the classical higher-order K\"ahler differential modules and by the theory of higher conormal modules, we study not only the higher conormal quotients $I/I^q$, but more generally the shifted quotients $I^r/I^...