Lyubeznik分解为极小自由分解的单项式理想

On Monomial Ideals Whose Lyubeznik Resolution Is a Minimal Free Resolution

对于一个单项式理想I,其极小生成元集记为G(I).如果在G(I)上存在一个全序,使得相应的Lyubeznik分解为I的极小自由分解,则称I为一个Lyubeznik理想.给出了Lyubeznik理想的判别与性质,并进一步研究了几类重要的Lyubeznik理想.

For a monomial ideal I ,let G（I） be its minimal set of monomial generators .If there is a total order on G （I ） such that the corresponding Lyubeznik resolution of I is a minimal free resolution of I , then I is called a Lyubeznik ideal .The Lyubeznik ideals are characterized in this paper .In the mean time , some classes of Lyubeznik ideals are discussed .