Worpitzky-compatible sets and the freeness of arrangements between Shi and Catalan
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE19 ...
Abe, Takuro, Tran, Tan Nhat
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Homogenized Graphical Shi Arrangements and Deformed Dumont Permutations
We introduce the homogenized graphical Shi arrangement associated with a simple undirected graph $G$, which serves as a broad generalization of classical deformations of the braid arrangement, including the Shi and homogenized Linial arrangements studied by Lazar and Wachs.
Poddar, Sauvik +2 more
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Posets, parking functions and the regions of the Shi arrangement revisited
, 2011 15 pages, 7 ...
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Interpreting the two variable Distance enumerator of the Shi hyperplane arrangement
, 2006 11 pages, 8 ...
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A basis construction for the Shi arrangement of the type $B_{\ell}$ or $C_{\ell}$
, 2012 The Shi arrangement is an affine arrangement of hyperplanes consisting of the hyperplanes of the Weyl arrangement and their parallel translations. It was introduced by J.-Y. Shi in the study of the Kazhdan-Lusztig representation of the affine Weyl groups. M. Yoshinaga showed that the cone over every Shi arrangement is free.
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Characteristic quasi-polynomials of deletions of Shi arrangements of type C and type D
27pages.
Higashitani, Akihiro +3 more
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Correction: GNPAT promotes immunosuppression in hepatocellular carcinoma by activating the plasmalogen-PPARĪ³ pathway to drive M2 macrophage polarization. [PDF]
Front ImmunolHu M +7 more
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Rapid estimation of photon measurement density functions using a deep convolutional neural network for functional near-infrared spectroscopy. [PDF]
Neuroimage RepZhao Y, Sun XT, Shi WD, Zhu CZ, Zhang L.
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On the extended Shi arrangement of type $B_{\ell}$
Motivated by Kawanoue's construction of a basis for the derivation module of the cone of the extended Catalan arrangement of type $B_\ell$, we construct an explicit basis for the derivation module of $\mathbf{c}Shi(B_\ell,m)$. Our construction generalizes the previously known case $m=1$ to $m\geq1$.
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Testing the Geometric Series Hypothesis for the Ascending Leaf Length Sequence per Culm in Six <i>Indocalamus</i> Bamboo Species. [PDF]
Plants (Basel)Zhu Y, Yao W, Shi P.
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