The amoeba dimension of a linear space

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

Standard

The amoeba dimension of a linear space. / Draisma, Jan; Eggleston, Sarah; Pendavingh, Rudi; Rau, Johannes; Yuen, Chi Ho.

In: Proceedings of the American Mathematical Society, Vol. 152, No. 6, 2024, p. 2385-2401.

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

Harvard

Draisma, J, Eggleston, S, Pendavingh, R, Rau, J & Yuen, CH 2024, 'The amoeba dimension of a linear space', Proceedings of the American Mathematical Society, vol. 152, no. 6, pp. 2385-2401. https://doi.org/10.1090/proc/16744

APA

Draisma, J., Eggleston, S., Pendavingh, R., Rau, J., & Yuen, C. H. (2024). The amoeba dimension of a linear space. Proceedings of the American Mathematical Society, 152(6), 2385-2401. https://doi.org/10.1090/proc/16744

Vancouver

Draisma J, Eggleston S, Pendavingh R, Rau J, Yuen CH. The amoeba dimension of a linear space. Proceedings of the American Mathematical Society. 2024;152(6):2385-2401. https://doi.org/10.1090/proc/16744

Author

Draisma, Jan ; Eggleston, Sarah ; Pendavingh, Rudi ; Rau, Johannes ; Yuen, Chi Ho. / The amoeba dimension of a linear space. In: Proceedings of the American Mathematical Society. 2024 ; Vol. 152, No. 6. pp. 2385-2401.

Bibtex

@article{7ac6d413d9e94ae2bdfaaa357559a2a9,
title = "The amoeba dimension of a linear space",
abstract = "Given a complex vector subspace V of Cn, the dimension of the amoeba of V ∩(C∗)n depends only on the matroid that V defines on the ground set {1, . . ., n}. Here we prove that this dimension is given by the minimum of a certain function over all partitions of the ground set, as previously conjectured by Rau. We also prove that this formula can be evaluated in polynomial time.",
author = "Jan Draisma and Sarah Eggleston and Rudi Pendavingh and Johannes Rau and Yuen, {Chi Ho}",
note = "Publisher Copyright: {\textcopyright} 2024 American Mathematical Society.",
year = "2024",
doi = "10.1090/proc/16744",
language = "English",
volume = "152",
pages = "2385--2401",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "6",

}

RIS

TY - JOUR

T1 - The amoeba dimension of a linear space

AU - Draisma, Jan

AU - Eggleston, Sarah

AU - Pendavingh, Rudi

AU - Rau, Johannes

AU - Yuen, Chi Ho

N1 - Publisher Copyright: © 2024 American Mathematical Society.

PY - 2024

Y1 - 2024

N2 - Given a complex vector subspace V of Cn, the dimension of the amoeba of V ∩(C∗)n depends only on the matroid that V defines on the ground set {1, . . ., n}. Here we prove that this dimension is given by the minimum of a certain function over all partitions of the ground set, as previously conjectured by Rau. We also prove that this formula can be evaluated in polynomial time.

AB - Given a complex vector subspace V of Cn, the dimension of the amoeba of V ∩(C∗)n depends only on the matroid that V defines on the ground set {1, . . ., n}. Here we prove that this dimension is given by the minimum of a certain function over all partitions of the ground set, as previously conjectured by Rau. We also prove that this formula can be evaluated in polynomial time.

U2 - 10.1090/proc/16744

DO - 10.1090/proc/16744

M3 - Journal article

AN - SCOPUS:85193000866

VL - 152

SP - 2385

EP - 2401

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 6

ER -

ID: 392563062