Relations in the tautological ring of $M_g$

dc.creatorIonel, Eleny-Nicoleta
dc.date2003-12-04
dc.date.accessioned2026-07-07T05:03:33Z
dc.date.available2026-07-07T05:03:33Z
dc.descriptionUsing a simple geometric argument, we obtain an infinite family of nontrivial relations in the tautological ring of $M_g$ (and in fact that of $M_{g,2}$). One immediate consequence of these relations is that the classes $κ_1,...,κ_{[g/3]}$ generate the tautological ring of $M_g$, which has been conjectured by Faber, and recently proven at the level of {\em cohomology} by Morita.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0312100
dc.identifierhttp://arxiv.org/abs/math/0312100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69463
dc.subjectAlgebraic Geometry
dc.titleRelations in the tautological ring of $M_g$
dc.typetext

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