Resumen de Hilbert–Poincaré series of parity binomial edge ideals and permanental ideals of complete graphs

Dô Trong Hoang, Thomas Kahle

• We give an explicit formula for the Hilbert–Poincaré series of the parity binomial edge ideal of a complete graph K_{n} or equivalently for the ideal generated by all 2\times 2-permanents of a 2\times n-matrix. It follows that the depth and Castelnuovo–Mumford regularity of these ideals are independent of n.