2 problems

Monotonicity conjecture for the Hilbert depth of lexsegment ideals
Let $S=\mathbb{K}[x_1,\dots,x_n]$ , and let $I\subset S$ be a lexsegment ideal generated by monomials of degree $d$ . Write $\mu(I)$ for the number of minimal generators of $I$ . Lexs…
openhilbert-depth lexsegment-ideals monomial-ideals
0 responses
05
Depth criterion for squarefree lexsegment ideals
Depth criterion conjecture. One has
opendepth lexsegment-ideals monomial-ideals
0 responses
04

Monotonicity conjecture for the Hilbert depth of lexsegment ideals