Variation of the Gieseker and Uhlenbeck Compactifications

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dc.creatorHu, Yi
dc.creatorLi, Wei-Ping
dc.date1994-09-09
dc.date.accessioned2026-07-07T09:06:11Z
dc.date.available2026-07-07T09:06:11Z
dc.descriptionIn this article, we study the variation of the Gieseker and Uhlenbeck compactifications of the moduli spaces of Mumford-Takemoto stable vector bundles of rank 2 by changing polarizations. Some {\it canonical} rational morphisms among the Gieseker compactifications are proved to exist and their fibers are studied. As a consequence of studying the morphisms from the Gieseker compactifications to the Uhlebeck compactifications, we show that there is an everywhere-defined {\it canonical} algebraic map between two adjacent Uhlenbeck compactifications which restricts to the identity on some Zariski open subset.
dc.description24 pages, AmsLaTex
dc.identifierhttps://arxiv.org/abs/alg-geom/9409003
dc.identifierhttp://arxiv.org/abs/alg-geom/9409003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149923
dc.subjectAlgebraic Geometry
dc.titleVariation of the Gieseker and Uhlenbeck Compactifications
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