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I am studying commutative algebra by myself. I got stuck to understand some concepts like syzygy. I am looking for a good reference for that even if it is a paper.

Any help will be appreciated.

user26857
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  • I always thought "syzygy" was a purely Astronomical term. Learn something new every day. :) – Deepak Oct 10 '17 at 02:46
  • You can look at the book "The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry" by David Eisenbud. – Krish Oct 10 '17 at 03:04
  • Another source http://www.ams.org/notices/200604/what-is.pdf – Triatticus Oct 10 '17 at 04:58
  • Some semantics here for "syzygy" (Wikipedia: "Linear Relation"): https://en.wikipedia.org/wiki/Linear_relation – Quillo Feb 25 '23 at 17:25

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I encountered Syzygy in N-body problem, so I'm not sure if it'd be a help, but Richard Montgomery has used this concept in his papers with some explanations. take a look at: https://people.ucsc.edu/~rmont/papers/list.html (crtl/command+f) syzygy.

Mathist
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