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The Grade Conjecture and the S2 Condition

Published online by Cambridge University Press:  20 November 2018

Agustín Marcelo ,
Félix Marcelo  and
César Rodríguez
Agustín Marcelo
Affiliation:
Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017 Las Palmas de Gran Canaria, Spain, email: amarcelo@dma.ulpgc.eswernitz@idecnet.comcesar@dma.ulpgc.es
Félix Marcelo
Affiliation:
Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017 Las Palmas de Gran Canaria, Spain, email: amarcelo@dma.ulpgc.eswernitz@idecnet.comcesar@dma.ulpgc.es
César Rodríguez
Affiliation:
Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017 Las Palmas de Gran Canaria, Spain, email: amarcelo@dma.ulpgc.eswernitz@idecnet.comcesar@dma.ulpgc.es
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Abstract

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Sufficient conditions are given in order to prove the lowest unknown case of the grade conjecture. The proof combines vanishing results of local cohomology and the ${{S}_{2}}$ condition.

Keywords

13D2213D4513D2513C15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 1 , 01 March 2002 , pp. 119 - 122
Copyright
Copyright © Canadian Mathematical Society 2002

References

[1] Hartshorne, R., Algebraic Geometry. Springer, New York, 1977.Google Scholar
[2] Hochster, M., Topics in the homological theory of modules over commutative rings. CBMS Regional conference series 24, Amer.Math. Soc., 1975.Google Scholar
[3] Matsumura, H., Commutative Algebra. Benjamin, 1970.Google Scholar
[4] Peskine, C. and Szpiro, L., Syzygies et Multiplicités. C. R. Acad. Sci. Paris, Sér. A 278 (1974), 1421–1424.Google Scholar
[5] Roberts, P., The Homological Conjectures. In: Free Resolutions in Commutative Algebra and Algebraic Geometry, (eds. D. Eisenbud, C. Huneke), Res. Notes Math. 2, D. Jones and Bartlett Publishers, Boston, 1992, 121–132.Google Scholar