# metadata.dc.description.abstract[].value
We show that given integers $ N$, $ d$ and $ n$ such that $ {N\ge2}, (N,d,n)$ $ \ne(2,2,5)$, and $ {N+1\le n\le\tbinom{d+N}{N}}$, there is a family of $ n$ monomials in $ K\left[X_0,\ldots,X_N\right]$ of degree $ d$ such that their syzygy bundle is stable. Case $ {N\ge3}$ was obtained independently by Coanda with a different choice of families of monomials. For $ {(N,d,n)=(2,2,5)}$, there are $ 5$ monomials of degree $ 2$ in $ K\left[X_0,X_1,X_2\right]$ such that their syzygy bundle is semistable.

# metadata.dc.relation.ispartof[].value
Proceedings of the American Mathematical Society, 2011, vol. 139, p. 3155-3170

# metadata.dc.rights[].value
(c) American Mathematical Society (AMS), 2011

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)