On the homology of two-dimensional elimination

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We 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.
22pages

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Commutative Algebra, Algebraic Geometry, 13H10;13F20

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http://salesiana.dossiersoluciones.com/handle/123456789/126654

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0608
 http://arxiv.org/abs/0704.0608

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arXiv