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Tropical Combinatorics

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Resolutions via Coarse <strong>Tropical</strong> Convexity<br />

Theorem (Dochtermann, Sanyal & J. 2009+)<br />

Let A be an arrangement of n tropical hyperplanes in T d−1 . The<br />

colabeled complex CA supports a minimal cocellular resolution of<br />

the coarse type ideal I t(A).<br />

Eliahou-Kervaire resolution of 〈x1, x2, . . .,xn〉 d in the<br />

sufficiently generic case

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