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Generic monomial ideals

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Combinatorial Commutative Algebra

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 227))

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Notes

  1. Herbert Scarf, Neighborhood systems for production sets with indivisibilities, Econometrica 54 (1986), no. 3, 507–532.

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  2. Dave Bayer, Irena Peeva, and Bernd Sturmfels, Monomial resolutions, Math. Res. Lett. 5 (1998), no. 1–2, 31–46.

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  3. Ezra Miller, Bernd Sturmfels, and Kohji Yanagawa, Generic and cogeneric monomial ideals, J. Symbolic Comput. 29 (2000), 691–708.

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  4. Ezra Miller, The Alexander duality functors and local duality with monomial support, J. Algebra 231 (2000), 180–234.

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  5. S. Hoşten and W. Morris, Jr. The order dimension of the complete graph, Discrete Math. 201 (1999), 133–139.

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  6. Bernd Sturmfels, The co-Scarf resolution, Commutative algebra, algebraic geometry, and computational methods (Hanoi, 1996) (David Eisenbud, ed.), Springer-Verlag, Singapore, 1999, pp. 315–320.

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  7. Ezra Miller, Alexander duality for monomial ideals and their resolutions. arXiv:math.AG/9812095

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  8. Alexander Postnikov and Boris Shapiro, Trees, parking functions, syzygies, and deformations of monomial ideals, Trans. Amer. Math. Soc. 356 (2004), no. 8, 3109–3142 (electronic).

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(2005). Generic monomial ideals. In: Combinatorial Commutative Algebra. Graduate Texts in Mathematics, vol 227. Springer, New York, NY. https://doi.org/10.1007/0-387-27103-1_6

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