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Far-Out Syzygies

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2152))

Abstract

In this chapter we prove that every high syzygy over a complete intersection is a higher matrix factorization module.

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References

  1. L. Avramov, Modules of finite virtual projective dimension. Invent. Math. 96, 71–101 (1989)

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  2. D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations. Trans. Am. Math. Soc. 260, 35–64 (1980)

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  3. D. Eisenbud, Commutative Algebra. With a View Toward Algebraic Geometry. Graduate Texts in Mathematics, vol. 150 (Springer, Berlin, 1995)

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  4. D. Eisenbud, I. Peeva, F.-O. Schreyer, Quadratic complete intersections (preprint), 2016

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  5. I. Peeva, Graded Syzygies (Springer, Berlin, 2011)

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Eisenbud, D., Peeva, I. (2016). Far-Out Syzygies. In: Minimal Free Resolutions over Complete Intersections . Lecture Notes in Mathematics, vol 2152. Springer, Cham. https://doi.org/10.1007/978-3-319-26437-0_6

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