Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96592
 Title: Stability of syzygy bundles Author: Macias Marques, Pedro Correia GonçalvesMiró-Roig, Rosa M. (Rosa Maria) Keywords: ÀlgebraAlgebra Issue Date: 2011 Publisher: American Mathematical Society (AMS) Abstract: 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. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2011-10745-7 It is part of: Proceedings of the American Mathematical Society, 2011, vol. 139, p. 3155-3170 Related resource: http://dx.doi.org/10.1090/S0002-9939-2011-10745-7 URI: http://hdl.handle.net/2445/96592 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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