Compactification for essentially finite-type maps

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dc.creatorNayak, Suresh
dc.date2008-09-08
dc.date.accessioned2026-07-07T10:01:19Z
dc.date.available2026-07-07T10:01:19Z
dc.descriptionWe show that any separated essentially finite-type map $f$ of noetherian schemes globally factors as $f = hi$ where $i$ is an injective localization map and $h$ a separated finite-type map. In particular, via Nagata's compactification theorem, $h$ can be chosen to be proper. We apply these results to Grothendieck duality. We also obtain other factorization results and provide essentialized versions of many general results such as Zariski's Main Theorem, Chow's Lemma, and blow-up descriptions of birational maps.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0809.1201
dc.identifierhttp://arxiv.org/abs/0809.1201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168591
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14A15 (Primary) 14E05 (Secondary)
dc.titleCompactification for essentially finite-type maps
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