Ulrich bundles on cyclic coverings of projective spaces

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dc.contributor.authorParameswaran, A. J.en_US
dc.contributor.authorPINE, JAGADISHen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2026-05-29T10:21:03Z
dc.date.available2026-05-29T10:21:03Z
dc.date.issued2026-11en_US
dc.description.abstractWe prove the existence of Ulrich bundles on cyclic coverings of of arbitrary degree d. Given a relatively Ulrich bundle on a complete intersection subvariety, we construct a relatively Ulrich bundle on the ambient variety. As an application, we prove that there exists a rank d Ulrich bundle on a generic cyclic covering of of degree d, provided that the degree of the branch divisor is even. When is odd, we also provide an estimation of the rank of the Ulrich bundle on a generic cyclic covering of .en_US
dc.identifier.citationJournal of Algebra, 705, 207, 243.en_US
dc.identifier.issn1090-266Xen_US
dc.identifier.issn0021-8693en_US
dc.identifier.sourcetitleJournal of Algebraen_US
dc.identifier.urihttps://doi.org/10.1016/j.jalgebra.2026.05.010
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/11244
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectCyclic coveringen_US
dc.subjectProjective spaceen_US
dc.subjectUlrich vector bundleen_US
dc.subject2026-MAY-WEEK4en_US
dc.subjectTOC-MAY-2026en_US
dc.subject2026en_US
dc.titleUlrich bundles on cyclic coverings of projective spacesen_US
dc.typeArticleen_US

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