A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties. / Helmer, Martin.

In: Theoretical Computer Science, Vol. 681, 12.06.2017, p. 54-74.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Helmer, M 2017, 'A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties', Theoretical Computer Science, vol. 681, pp. 54-74. https://doi.org/10.1016/j.tcs.2017.03.029

APA

Helmer, M. (2017). A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties. Theoretical Computer Science, 681, 54-74. https://doi.org/10.1016/j.tcs.2017.03.029

Vancouver

Helmer M. A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties. Theoretical Computer Science. 2017 Jun 12;681:54-74. https://doi.org/10.1016/j.tcs.2017.03.029

Author

Helmer, Martin. / A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties. In: Theoretical Computer Science. 2017 ; Vol. 681. pp. 54-74.

Bibtex

@article{b88cc696d4bc4722ae0db8e7d25b07f6,
title = "A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties",
abstract = "Let V be a possibly singular scheme-theoretic complete intersection subscheme of Pn over an algebraically closed field of characteristic zero. Using a recent result of Fullwood (“On Milnor classes via invariants of singular subschemes”, Journal of Singularities) we develop an algorithm to compute the Chern–Schwartz–MacPherson class and Euler characteristic of V. This algorithm complements existing algorithms by providing performance improvements in the computation of the Chern–Schwartz–MacPherson class and Euler characteristic for certain types of complete intersection subschemes of Pn.",
keywords = "Chern class, Chern–Schwartz–MacPherson class, Computational intersection theory, Computer algebra, Euler characteristic",
author = "Martin Helmer",
year = "2017",
month = jun,
day = "12",
doi = "10.1016/j.tcs.2017.03.029",
language = "English",
volume = "681",
pages = "54--74",
journal = "Theoretical Computer Science",
issn = "0304-3975",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A direct algorithm to compute the topological Euler characteristic and Chern–Schwartz–MacPherson class of projective complete intersection varieties

AU - Helmer, Martin

PY - 2017/6/12

Y1 - 2017/6/12

N2 - Let V be a possibly singular scheme-theoretic complete intersection subscheme of Pn over an algebraically closed field of characteristic zero. Using a recent result of Fullwood (“On Milnor classes via invariants of singular subschemes”, Journal of Singularities) we develop an algorithm to compute the Chern–Schwartz–MacPherson class and Euler characteristic of V. This algorithm complements existing algorithms by providing performance improvements in the computation of the Chern–Schwartz–MacPherson class and Euler characteristic for certain types of complete intersection subschemes of Pn.

AB - Let V be a possibly singular scheme-theoretic complete intersection subscheme of Pn over an algebraically closed field of characteristic zero. Using a recent result of Fullwood (“On Milnor classes via invariants of singular subschemes”, Journal of Singularities) we develop an algorithm to compute the Chern–Schwartz–MacPherson class and Euler characteristic of V. This algorithm complements existing algorithms by providing performance improvements in the computation of the Chern–Schwartz–MacPherson class and Euler characteristic for certain types of complete intersection subschemes of Pn.

KW - Chern class

KW - Chern–Schwartz–MacPherson class

KW - Computational intersection theory

KW - Computer algebra

KW - Euler characteristic

UR - http://www.scopus.com/inward/record.url?scp=85017399468&partnerID=8YFLogxK

U2 - 10.1016/j.tcs.2017.03.029

DO - 10.1016/j.tcs.2017.03.029

M3 - Journal article

AN - SCOPUS:85017399468

VL - 681

SP - 54

EP - 74

JO - Theoretical Computer Science

JF - Theoretical Computer Science

SN - 0304-3975

ER -

ID: 183131535