Regularity of Powers of Edge Ideals of Some Graphs
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DOI: 10.1007/s40306-017-0204-5
Abstract: Let Cn~$\tilde {C_{n}}$ be the graph by adding an ear to Cn and I=I(Cn~)$I=I(\tilde {C_{n}})$ be its edge ideal. In this paper, we prove that reg(Is)=2s+⌊n+13⌋−1$\operatorname {reg}(I^{s})=2s+\lfloor \frac {n+1}{3}\rfloor -1$ for all s ≥ 1.… read more here.
Keywords: frac rfloor; powers edge; regularity; lfloor frac ... See more keywords
Fiber Invariants of Projective Morphisms and Regularity of Powers of Ideals
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DOI: 10.1007/s40306-019-00352-3
Abstract: We introduce an invariant, associated to a coherent sheaf of graded modules over a projective morphism of schemes, which controls when sheaf cohomology can be passed through the given morphism. We then use this invariant… read more here.
Keywords: morphisms regularity; fiber invariants; invariants projective; regularity ... See more keywords
Regularity of powers of quadratic sequences with applications to binomial ideals
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DOI: 10.1016/j.jalgebra.2020.08.004
Abstract: Abstract In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms of the regularity of its… read more here.
Keywords: edge ideals; binomial ideals; regularity; binomial edge ... See more keywords