Abstract:Abstract. The maximum cut problem for a quintic del Pezzo surface Bl 4 (P 2 ) asks: Among all partitions of the 10 exceptional curves into two disjoint sets, what is the largest possible number of pairwise intersections? In this article we show that the answer is twelve. More generally, we obtain bounds for the maximum cut problem for the minuscule varieties X a,b,c := Bl b+c (P c−1 ) a−1 studied by Mukai and Castravet-Tevelev and show that these bounds are asymptotically sharp for infinite families. We prove … Show more
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