Let Xr1,n be the blow-up of P1× Pn in r general points. We describe the Mori cone of Xr1,n for r≤ n+ 2 and for r= n+ 3 when n≤ 4 . Furthermore, we prove that Xn+11,n is log Fano and give an explicit presentation for its Cox ring.
Cox rings of blow-ups of multiprojective spaces
Bolognesi M.;Massarenti A.;
2023
Abstract
Let Xr1,n be the blow-up of P1× Pn in r general points. We describe the Mori cone of Xr1,n for r≤ n+ 2 and for r= n+ 3 when n≤ 4 . Furthermore, we prove that Xn+11,n is log Fano and give an explicit presentation for its Cox ring.File in questo prodotto:
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