Segre class computation and practical applications

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Standard

Segre class computation and practical applications. / Harris, Corey; Helmer, Martin.

I: Mathematics of Computation, Bind 89, Nr. 321, 01.2020, s. 465-491.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Harris, C & Helmer, M 2020, 'Segre class computation and practical applications', Mathematics of Computation, bind 89, nr. 321, s. 465-491. https://doi.org/10.1090/mcom/3448

APA

Harris, C., & Helmer, M. (2020). Segre class computation and practical applications. Mathematics of Computation, 89(321), 465-491. https://doi.org/10.1090/mcom/3448

Vancouver

Harris C, Helmer M. Segre class computation and practical applications. Mathematics of Computation. 2020 jan.;89(321):465-491. https://doi.org/10.1090/mcom/3448

Author

Harris, Corey ; Helmer, Martin. / Segre class computation and practical applications. I: Mathematics of Computation. 2020 ; Bind 89, Nr. 321. s. 465-491.

Bibtex

@article{da32b19d950d4c45bff18c4b82e8f05c,
title = "Segre class computation and practical applications",
abstract = "Let X subset of Y be closed (possibly singular) subschemes of a smooth projective toric variety T. We show how to compute the Segre class s(X, Y) as a class in the Chow group of T. Building on this, we give effective methods to compute intersection products in projective varieties, to determine algebraic multiplicity without working in local rings, and to test pairwise containment of subvarieties of T. Our methods may be implemented without using Grobner bases; in particular any algorithm to compute the number of solutions of a zero-dimensional polynomial system may be used",
author = "Corey Harris and Martin Helmer",
year = "2020",
month = jan,
doi = "10.1090/mcom/3448",
language = "English",
volume = "89",
pages = "465--491",
journal = "Mathematics of Computation",
issn = "0025-5718",
publisher = "American Mathematical Society",
number = "321",

}

RIS

TY - JOUR

T1 - Segre class computation and practical applications

AU - Harris, Corey

AU - Helmer, Martin

PY - 2020/1

Y1 - 2020/1

N2 - Let X subset of Y be closed (possibly singular) subschemes of a smooth projective toric variety T. We show how to compute the Segre class s(X, Y) as a class in the Chow group of T. Building on this, we give effective methods to compute intersection products in projective varieties, to determine algebraic multiplicity without working in local rings, and to test pairwise containment of subvarieties of T. Our methods may be implemented without using Grobner bases; in particular any algorithm to compute the number of solutions of a zero-dimensional polynomial system may be used

AB - Let X subset of Y be closed (possibly singular) subschemes of a smooth projective toric variety T. We show how to compute the Segre class s(X, Y) as a class in the Chow group of T. Building on this, we give effective methods to compute intersection products in projective varieties, to determine algebraic multiplicity without working in local rings, and to test pairwise containment of subvarieties of T. Our methods may be implemented without using Grobner bases; in particular any algorithm to compute the number of solutions of a zero-dimensional polynomial system may be used

U2 - 10.1090/mcom/3448

DO - 10.1090/mcom/3448

M3 - Journal article

VL - 89

SP - 465

EP - 491

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

IS - 321

ER -

ID: 233586974