Characteristic Dependence of Syzygies of Random Monomial Ideals
نویسندگان
چکیده
When do syzygies depend on the characteristic of field? Even for well-studied families examples, very little is known. For a family random monomial ideals, namely Stanley--Reisner ideals flag complexes, we prove that Betti numbers asymptotically almost always characteristic. Using this result, also develop heuristic dependence asymptotic algebraic varieties.
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2022
ISSN: ['1095-7146', '0895-4801']
DOI: https://doi.org/10.1137/21m1392474