Abstract
Let be ideals generated by linear forms in a polynomial ring over an infinite field and let . We describe a minimal free resolution of and show that it is supported on a polymatroid obtained from the underlying representable polymatroid by means of the so-called Dilworth truncation. Formulas for the projective dimension and Betti numbers are given in terms of the polymatroid as well as a characterization of the associated primes. Along the way we show that has linear quotients. In fact, we do this for a large class of ideals , where is a certain poset ideal associated to the underlying subspace arrangement.
Citation
Aldo Conca. Manolis C. Tsakiris. "Resolution of ideals associated to subspace arrangements." Algebra Number Theory 16 (5) 1121 - 1140, 2022. https://doi.org/10.2140/ant.2022.16.1121
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