The amoeba dimension of a linear space
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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
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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