Search

Start Over Subject complete intersection

1. Infinite-dimensional complex projective spaces and complete intersections

Creator:
Ballico, E.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
infinite-dimensional complex projective space, infinite-dimensional complex manifold, complete intersection, complex Banach space, and complex Banach manifold
Language:
English
Description:
Let V be an infinite-dimensional complex Banach space and X ⊂ P(V ) a closed analytic subset with finite codimension. We give a condition on X which implies that X is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. The cleanness of (symbolic) powers of Stanley-Reisner ideals

Creator:
Bandari, Somayeh and Jahan, Ali Soleyman
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
complete intersection, matroid, symbolic power, 13, and 51
Language:
English
Description:
Let $\Delta$ be a pure simplicial complex on the vertex set $[n]=\{1,\ldots,n\}$ and $I_\Delta$ its Stanley-Reisner ideal in the polynomial ring $S=K[x_1,\ldots,x_n]$. We show that $\Delta$ is a matroid (complete intersection) if and only if $S/I_\Delta^{(m)}$ ($S/I_\Delta^m$) is clean for all $m\in\mathbb{N}$ and this is equivalent to saying that $S/I_\Delta^{(m)}$ ($S/I_\Delta^m$, respectively) is Cohen-Macaulay for all $m\in\mathbb{N}$. By this result, we show that there exists a monomial ideal $I$ with (pretty) cleanness property while $S/I^m$ or $S/I^{(m)}$ is not (pretty) clean for all integer $m\geq3$. If $\dim(\Delta)=1$, we also prove that $S/I_\Delta^{(2)}$ ($S/I_\Delta^2$) is clean if and only if $S/I_\Delta^{(2)}$ ($S/I_\Delta^2$, respectively) is Cohen-Macaulay., Somayeh Bandari, Ali Soleyman Jahan., and Obsahuje bibliografické odkazy
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public