Alterations and resolution of singularities

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dc.creatorAbramovich, Dan
dc.creatorOort, Frans
dc.date1998-06-18
dc.date.accessioned2026-07-07T06:32:59Z
dc.date.available2026-07-07T06:32:59Z
dc.descriptionOn July 26, 1995, at the University of California, Santa Cruz, a young Dutch mathematician by the name Aise Johan de Jong made a revolution in the study of the arithmetic, geometry and cohomology theory of varieties in positive or mixed characteristic. The talk he delivered, first in a series of three entitled "Dominating Varieties by Smooth Varieties", had a central theme: a systematic application of fibrations by nodal curves. Among the hundreds of awe struck members of the audience, participants of the American Mathematical Society Summer Research Institute on Algebraic Geometry, many recognized the great potential of Johan de Jong's ideas even for complex algebraic varieties, and indeed soon more results along these lines began to form. This paper is an outgrowth of our course material prepared for the Working Week on Resolution of Singularities, which was held during September 7-14, 1997 in Obergurgl, Tirol, Austria. As we did in the workshop, we intend to explain Johan de Jong's results in some detail, and give some other results following the same paradigm, as well as a few applications, both arithmetic and in characteristic zero. We hope that the reader will come to share some of the excitement we felt on that beautiful July day in Santa Cruz.
dc.description66 pages, latex2E
dc.identifierhttps://arxiv.org/abs/math/9806100
dc.identifierhttp://arxiv.org/abs/math/9806100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99042
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectNumber Theory
dc.subject14E15; 14H10
dc.titleAlterations and resolution of singularities
dc.typetext

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