Generic initial ideals of modular polynomial invariants

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buir.contributor.authorDanış, Bekir
buir.contributor.authorSezer, Müfit
dc.citation.issueNumber6en_US
dc.citation.spage106255en_US
dc.citation.volumeNumber224en_US
dc.contributor.authorDanış, Bekir
dc.contributor.authorSezer, Müfit
dc.date.accessioned2021-02-25T10:27:13Z
dc.date.available2021-02-25T10:27:13Z
dc.date.issued2020
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe study the generic initial ideals (gin) of certain ideals that arise in modular invariant theory. For all cases an explicit generating set is known we compute the generic initial ideal of the Hilbert ideal of a cyclic group of prime order for all monomial orders. We also consider the Klein four group and note that its Hilbert ideals are Borel fixed with certain orderings of the variables. In all situations we consider, it is possible to select a monomial order such that the gin of the Hilbert ideal is equal to its initial ideal. Along the way we show that gin respects a permutation of the variables in the monomial order.en_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2021-02-25T10:27:13Z No. of bitstreams: 1 Generic_initial_ideals_of_modular_polynomial_invariants.pdf: 256354 bytes, checksum: d1d4019d7c5e23f86785a11ecc7a3a3e (MD5)en
dc.description.provenanceMade available in DSpace on 2021-02-25T10:27:13Z (GMT). No. of bitstreams: 1 Generic_initial_ideals_of_modular_polynomial_invariants.pdf: 256354 bytes, checksum: d1d4019d7c5e23f86785a11ecc7a3a3e (MD5) Previous issue date: 2020en
dc.embargo.release2022-06-01
dc.identifier.doi10.1016/j.jpaa.2019.106255en_US
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/11693/75583
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.jpaa.2019.106255en_US
dc.source.titleJournal of Pure and Applied Algebraen_US
dc.subjectModular polynomial invariantsen_US
dc.subjectGeneric initial idealsen_US
dc.titleGeneric initial ideals of modular polynomial invariantsen_US
dc.typeArticleen_US

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