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Hara Charalambous and Christa Deno
Multigraded Modules
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| Published: |
March 15, 2001
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| Keywords: |
multidegree, multigraded, squarefree, resolution, syzygies |
| Subject: |
13C05, 13C10, 13D02, 13D10 |
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Abstract
Let R=k[x1,..., xn] be a polynomial ring over a field
k. We present a characterization of multigraded R-modules in terms
of the minors of their presentation matrix.
We describe explicitly the
second syzygies of any multigraded R-module.
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| Author information
Hara Charalambous:
Dept. of Math., SUNY, Albany, NY 12222
hara@math.albany.edu
http://math.albany.edu:8000/~hara
Christa Deno:
Dept. of Math. and Comp. Science, The Sage Colleges, Troy, NY 12180
denoc@sage.edu
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