Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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SHGH Conjecture and unexpected curves

Luca Sodomaco (KTH Stockholm, Sweden)

created by angelini on 16 Oct 2017
modified on 19 Oct 2017

27 oct 2017 -- 14:30

Dipartimento di Matematica dell'Università di Bologna, aula Cremona (IV piano)


In this talk I will define what an unexpected curve in P2 is. The study of unexpected curves is an interpolation problem, related with the SHGH conjecture. They were introduced in a paper by Cook, Harbourne, Migliore and Nagel in 2017, in which the authors present an example of configuration of points which admits an unexpected 4-ic. I will prove this is the only possible one, up to projectivity, and illustrate some generalizations in higher degree.

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