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math.AG2012★ 4 cited
On -gonal loci in Severi varieties on general surfaces and rational curves on hyperkähler manifolds
Ciro Ciliberto, Andreas Leopold Knutsen
In this paper we study the gonality of the normalizations of curves in the linear system of a general primitively polarized complex surface of genus . We prov…
math.AG2012★ 16 cited
Variations on Nagata's Conjecture
C. Ciliberto, B. Harbourne, R. Miranda +1
In this paper we discuss some variations of Nagata's conjecture on linear systems of plane curves. The most relevant concerns non-effectivity (hence nefness) of certain rays, which…
math.AG2012★ 2 cited
On -gonal loci in Severi varieties on general surfaces and rational curves on hyperkähler manifolds (first version, superseded by arXiv:1204.4838)
Ciro Ciliberto, Andreas Leopold Knutsen
In this paper we study the gonality of the normalizations of curves in the linear system of a general primitively polarized surface of genus . We prove two ma…