On the homology of two-dimensional elimination

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dc.creatorHong, J.
dc.creatorSimis, A.
dc.creatorVasconcelos, W. V.
dc.date2007-04-04
dc.date.accessioned2026-07-07T07:54:33Z
dc.date.available2026-07-07T07:54:33Z
dc.descriptionWe study birational maps with empty base locus defined by almost complete intersection ideals. Birationality is shown to be expressed by the equality of two Chern numbers. We provide a relatively effective method of their calculation in terms of certain Hilbert coefficients. In dimension two the structure of the irreducible ideals leads naturally to the calculation of Sylvester determinants via a computer-assisted method. For degree at most 5 we produce the full set of defining equations of the base ideal. The results answer affirmatively some questions raised by D. Cox.
dc.description22pages
dc.identifierhttps://arxiv.org/abs/0704.0608
dc.identifierhttp://arxiv.org/abs/0704.0608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126654
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13H10;13F20
dc.titleOn the homology of two-dimensional elimination
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