The Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone Conjecture
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 216-227
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We compute the nef cone of the Hilbert scheme of points on a general rational elliptic surface. As a consequence of our computation, we show that the Morrison–Kawamata cone conjecture holds for these nef cones.
Mots-clés :
Moduli spaces of sheaves, Hilbert schemes of points, elliptic surfaces, cone conjecture, klt Calabi–Yau pairs
Kopper, John. The Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone Conjecture. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 216-227. doi: 10.4153/S0008439520000387
@article{10_4153_S0008439520000387,
author = {Kopper, John},
title = {The {Nef} {Cone} of the {Hilbert} {Scheme} of {Points} on {Rational} {Elliptic} {Surfaces} and the {Cone} {Conjecture}},
journal = {Canadian mathematical bulletin},
pages = {216--227},
year = {2021},
volume = {64},
number = {1},
doi = {10.4153/S0008439520000387},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000387/}
}
TY - JOUR AU - Kopper, John TI - The Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone Conjecture JO - Canadian mathematical bulletin PY - 2021 SP - 216 EP - 227 VL - 64 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000387/ DO - 10.4153/S0008439520000387 ID - 10_4153_S0008439520000387 ER -
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