Reduction number of links of irreducible varieties

Alberto Corso; Claudia Polini

doi:10.1016/S0022-4049(96)00042-4

Reduction number of links of irreducible varieties

Alberto Corso
, Claudia Polini

Mathematics

Producción científica: Article › revisión exhaustiva

12 Citas (Scopus)

Resumen

The reductions of an ideal I give a natural pathway to the properties of I, with the advantage of having fewer generators. In this paper we primarily focus on a conjecture about the reduction exponent of links of a broad class of primary ideals. The existence of an algebra structure on the Koszul and Eagon-Northcott resolutions is the main tool for detailing the known cases of the conjecture. In the last section we relate the conjecture to a formula involving the length of the first Koszul homology modules of these ideals.

Idioma original	English
Páginas (desde-hasta)	29-43
Número de páginas	15
Publicación	Journal of Pure and Applied Algebra
Volumen	121
N.º	1
DOI	https://doi.org/10.1016/S0022-4049(96)00042-4
Estado	Published - sept 11 1997

Nota bibliográfica

Funding Information:
The authors wish to acknowledge Wolmer V. Vasconcelos, for useful discussions they had during the writing of this paper, and Bemd Ulrich, for helpful suggestions which improved the exposition of Section 3. Both authors gratefully acknowledge partial support from the Consiglio Nazionale delle Ricerche, Italy, under CNR grant 203.01.63.

Financiación

The authors wish to acknowledge Wolmer V. Vasconcelos, for useful discussions they had during the writing of this paper, and Bemd Ulrich, for helpful suggestions which improved the exposition of Section 3. Both authors gratefully acknowledge partial support from the Consiglio Nazionale delle Ricerche, Italy, under CNR grant 203.01.63.

Financiadores	Número del financiador
Consiglio Nazionale delle Ricerche	203.01.63

ASJC Scopus subject areas

Algebra and Number Theory

Acceder al documento

10.1016/S0022-4049(96)00042-4

Otros archivos y enlaces

Citar esto

@article{dc3dbc19d1d14ed4997132fc97053d0b,

title = "Reduction number of links of irreducible varieties",

abstract = "The reductions of an ideal I give a natural pathway to the properties of I, with the advantage of having fewer generators. In this paper we primarily focus on a conjecture about the reduction exponent of links of a broad class of primary ideals. The existence of an algebra structure on the Koszul and Eagon-Northcott resolutions is the main tool for detailing the known cases of the conjecture. In the last section we relate the conjecture to a formula involving the length of the first Koszul homology modules of these ideals.",

author = "Alberto Corso and Claudia Polini",

note = "Funding Information: The authors wish to acknowledge Wolmer V. Vasconcelos, for useful discussions they had during the writing of this paper, and Bemd Ulrich, for helpful suggestions which improved the exposition of Section 3. Both authors gratefully acknowledge partial support from the Consiglio Nazionale delle Ricerche, Italy, under CNR grant 203.01.63.",

year = "1997",

month = sep,

day = "11",

doi = "10.1016/S0022-4049(96)00042-4",

language = "English",

volume = "121",

pages = "29--43",

number = "1",

}

TY - JOUR

T1 - Reduction number of links of irreducible varieties

AU - Corso, Alberto

AU - Polini, Claudia

N1 - Funding Information: The authors wish to acknowledge Wolmer V. Vasconcelos, for useful discussions they had during the writing of this paper, and Bemd Ulrich, for helpful suggestions which improved the exposition of Section 3. Both authors gratefully acknowledge partial support from the Consiglio Nazionale delle Ricerche, Italy, under CNR grant 203.01.63.

PY - 1997/9/11

Y1 - 1997/9/11

N2 - The reductions of an ideal I give a natural pathway to the properties of I, with the advantage of having fewer generators. In this paper we primarily focus on a conjecture about the reduction exponent of links of a broad class of primary ideals. The existence of an algebra structure on the Koszul and Eagon-Northcott resolutions is the main tool for detailing the known cases of the conjecture. In the last section we relate the conjecture to a formula involving the length of the first Koszul homology modules of these ideals.

AB - The reductions of an ideal I give a natural pathway to the properties of I, with the advantage of having fewer generators. In this paper we primarily focus on a conjecture about the reduction exponent of links of a broad class of primary ideals. The existence of an algebra structure on the Koszul and Eagon-Northcott resolutions is the main tool for detailing the known cases of the conjecture. In the last section we relate the conjecture to a formula involving the length of the first Koszul homology modules of these ideals.

UR - https://www.scopus.com/pages/publications/0031564973

UR - https://www.scopus.com/pages/publications/0031564973#tab=citedBy

U2 - 10.1016/S0022-4049(96)00042-4

DO - 10.1016/S0022-4049(96)00042-4

M3 - Article

AN - SCOPUS:0031564973

SN - 0022-4049

VL - 121

SP - 29

EP - 43

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1

ER -

Reduction number of links of irreducible varieties

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto