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http://hdl.handle.net/2445/96592
Title: | Stability of syzygy bundles |
Author: | Macias Marques, Pedro Correia Gonçalves Miró-Roig, Rosa M. (Rosa Maria) |
Keywords: | Àlgebra Algebra |
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 |
URI: | http://hdl.handle.net/2445/96592 |
Related resource: | http://dx.doi.org/10.1090/S0002-9939-2011-10745-7 |
ISSN: | 0002-9939 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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