Tropical Combinatorics
Tropical Combinatorics
Tropical Combinatorics
SHOW LESS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
201 111 021<br />
300 210 030<br />
chain complex<br />
with img φ1 = I<br />
003 ideal<br />
012<br />
An Example<br />
I = 〈x 3 1, x 2 1x2, x 3 2, x 2 1x3,<br />
x1x2x3, x 2 2x3, x2x 2 3, x 3 3〉<br />
lcm condition <br />
labels for all cells<br />
f(P) = (8, 11, 4)<br />
check condition for each<br />
b ∈ Z d<br />
e.g., b = (2,2,2)<br />
minimal resolution<br />
F P 4 φ3 11<br />
• : 0 → S −→ S φ2 8<br />
−→ S φ1<br />
−→ S → 0
Change language