The combinatorics of alternative factorizations

Elsa Fisman; Mary Schaps

doi:10.1007/bf02760526

The combinatorics of alternative factorizations

Elsa Fisman, Mary Schaps

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we count the number of distinct toroidal morphisms to 3-space satisfying Danilov's condition (0), obtaining the simple formula M_n =3·4^n-1 for n blowings up. We also give average and extremal values for the number of alternative factorization sequences for such a morphism.

Original language	English
Pages (from-to)	79-95
Number of pages	17
Journal	Israel Journal of Mathematics
Volume	48
Issue number	1
DOIs	https://doi.org/10.1007/bf02760526
State	Published - Dec 1984

Access to Document

10.1007/bf02760526

Cite this

@article{033a90ddcb6e447d8e5e94fcd7175b2b,

title = "The combinatorics of alternative factorizations",

abstract = "In this paper we count the number of distinct toroidal morphisms to 3-space satisfying Danilov's condition (0), obtaining the simple formula M n =3·4 n-1 for n blowings up. We also give average and extremal values for the number of alternative factorization sequences for such a morphism.",

author = "Elsa Fisman and Mary Schaps",

year = "1984",

month = dec,

doi = "10.1007/bf02760526",

language = "אנגלית",

volume = "48",

pages = "79--95",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - The combinatorics of alternative factorizations

AU - Fisman, Elsa

AU - Schaps, Mary

PY - 1984/12

Y1 - 1984/12

N2 - In this paper we count the number of distinct toroidal morphisms to 3-space satisfying Danilov's condition (0), obtaining the simple formula M n =3·4 n-1 for n blowings up. We also give average and extremal values for the number of alternative factorization sequences for such a morphism.

AB - In this paper we count the number of distinct toroidal morphisms to 3-space satisfying Danilov's condition (0), obtaining the simple formula M n =3·4 n-1 for n blowings up. We also give average and extremal values for the number of alternative factorization sequences for such a morphism.

UR - http://www.scopus.com/inward/record.url?scp=51649160005&partnerID=8YFLogxK

U2 - 10.1007/bf02760526

DO - 10.1007/bf02760526

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51649160005

SN - 0021-2172

VL - 48

SP - 79

EP - 95

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

The combinatorics of alternative factorizations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this