| Generic ideals and Moreno-Soc{\'\i}as conjecture (2001) | |||||||||
Abstract | |||||||||
| Let $f_1, ..., f_n$ be homogeneous polynomials generating a generic ideal $I$ in the ring of polynomials in $n$ variables over an infinite field. Moreno-Soc\'ias conjectured that for the graded reverse lexicographic term ordering, the initial ideal ${\rm in}(I)$ is a weakly reverse lexicographic ideal. This paper contains a new proof of Moreno-Soc{\'\i}as' conjecture for the case $n=2$.. Comment: 6 pages, 1 figure | |||||||||
Publication details | |||||||||
| |||||||||