Advanced Studies in Pure Mathematics

Generalized Enriques diagrams and characteristic cones

Gerard Gonzalez-Sprinberg

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Generalized Enriques diagrams are combinatorial data associated with constellations of infinitely near points and proximity relations. Classically they were introduced to deal with linear systems of curves with base conditions. We present a survey on some aspects and new results on this diagrams, examples and applications to relative characteristic cones and Zariski's complete ideal theory.

Article information

Singularities – Sapporo 1998, J.-P. Brasselet and T. Suwa, eds. (Tokyo: Mathematical Society of Japan, 2000), 115-134

Received: 22 March 1999
Revised: 31 March 1999
First available in Project Euclid: 20 August 2018

Permanent link to this document euclid.aspm/1534789553

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: C20 14M25: Toric varieties, Newton polyhedra [See also 52B20] 13B22: Integral closure of rings and ideals [See also 13A35]; integrally closed rings, related rings (Japanese, etc.)

infinitely near points Enriques diagrams characteristic cones complete ideals toric varieties


Gonzalez-Sprinberg, Gerard. Generalized Enriques diagrams and characteristic cones. Singularities – Sapporo 1998, 115--134, Mathematical Society of Japan, Tokyo, Japan, 2000. doi:10.2969/aspm/02910115.

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