Data di Pubblicazione:
2023
Citazione:
Fano fourfolds with large anticanonical base locus / A. Höring, S.A. Secci. - (2023 Sep 29).
Abstract:
A famous theorem of Shokurov states that a general anticanonical divisor of a smooth Fano threefold is a smooth K3 surface. This is quite surprising since there are several examples where the base locus of the anticanonical system has codimension two. In this paper we show that for four-dimensional Fano manifolds the behaviour is completely opposite: if the base locus is a normal surface, hence has codimension two, all the anticanonical divisors are singular.
Tipologia IRIS:
24 - Pre-print
Elenco autori:
A. Höring, S.A. Secci
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