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- W4300571880 abstract "Building on the work of Mukai, we explore the birational geometry of the moduli spaces M_{S,L} of semistable rank two torsion-free sheaves, with c_1=-K_S and c_2=2, on a polarized degree one del Pezzo surface (S,L); this is related to the birational geometry of the blow-up X of P^4 in 8 points. Our analysis is explicit and is obtained by looking at the variation of stability conditions. Then we provide a careful investigation of the blow-up X and of the moduli space Y=M_{S,-K_S}, which is a remarkable family of smooth Fano 4-folds. In particular we describe the relevant cones of divisors of Y, the group of automorphisms, and the base loci of the anticanonical and bianticanonical linear systems." @default.
- W4300571880 created "2022-10-03" @default.
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- W4300571880 date "2017-07-28" @default.
- W4300571880 modified "2023-09-28" @default.
- W4300571880 title "The blow-up of $mathbb{P}^4$ at 8 points and its Fano model, via vector bundles on a del Pezzo surface" @default.
- W4300571880 doi "https://doi.org/10.48550/arxiv.1707.09152" @default.
- W4300571880 hasPublicationYear "2017" @default.
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