Tropical Combinatorics
Tropical Combinatorics
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