A 1 – connected components of ruled surfaces

dc.contributor.authorBalwe, Chetan
dc.contributor.authorSawant, Anand
dc.date.accessioned2023-08-23T17:57:43Z
dc.date.available2023-08-23T17:57:43Z
dc.date.issued2022
dc.descriptionOnly IISER Mohali authors are available in the record.en_US
dc.description.abstractA conjecture of Morel asserts that the sheaf of A1–connected components of a space is A1–invariant. Using purely algebrogeometric methods, we determine the sheaf of A1–connected components of a smooth projective surface, which is birationally ruled over a curve of genus >0. As a consequence, we show that Morel’s conjecture holds for all smooth projective surfaces over an algebraically closed field of characteristic 0.en_US
dc.identifier.citationGeometry & Topology, 26(1), 321-376.en_US
dc.identifier.urihttps://doi.org/10.2140/gt.2022.26.321
dc.identifier.urihttp://hdl.handle.net/123456789/5120
dc.language.isoen_USen_US
dc.publisherMath­em­at­ic­al Sci­ences Pub­lish­ersen_US
dc.subjectruled surfacesen_US
dc.subjectghost homotopiesen_US
dc.titleA 1 – connected components of ruled surfacesen_US
dc.typeArticleen_US

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