The Upper Bound of Frobenius Related Length Functions

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dc.creatorLi, Jinjia
dc.date2005-01-14
dc.date.accessioned2026-07-07T05:16:03Z
dc.date.available2026-07-07T05:16:03Z
dc.descriptionIn this paper, we study the asymptotic behavior of lengths of $\tor$ modules of homologies of complexes under the iterations of the Frobenius functor in positive characteristic. We first give upper bounds to this type of length functions in lower dimensional cases and then construct a counterexample to the general situation. The motivation of studying such length functions arose initially from an asymptotic length criterion given in [D4] which is a sufficient condition to a special case of nonnegativity of $χ_\infty$. We also provide an example to show that this sufficient condition does not hold in general.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0501209
dc.identifierhttp://arxiv.org/abs/math/0501209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73848
dc.subjectCommutative Algebra
dc.subject13D02
dc.titleThe Upper Bound of Frobenius Related Length Functions
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