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2011

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96592

Stability of syzygy bundles

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http://dx.doi.org/10.1090/S0002-9939-2011-10745-7

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.

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Àlgebra

Subject (English)

Algebra

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

MACIAS MARQUES, Pedro Correia Gonçalves and MIRÓ-ROIG, Rosa M. (Rosa Maria). Stability of syzygy bundles. Proceedings of the American Mathematical Society. 2011. Vol. 139, num. 3155-3170. ISSN 0002-9939. [consulted: 12 of August of 2026]. Available at: https://hdl.handle.net/2445/96592

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