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Giovedì 12 Novembre alle ore 14:15, Wei Chen (Roma Tre) terrà il seminario di Geometria dal titolo "Hyperbitangent curves and the exceptional set of a multi-component curve".
Abstract: Motivated by the conjectures of Lang, Vojta, and Kobayashi, the algebraic exceptional set―which parametrizes non-general type curves on a log surface―has been extensively studied. Recently, Caporaso and Turchet showed that for a plane curve of degree at least 4 with at least 3 irreducible components, the set of hyperbitangent curves coincide with the algebraic exceptional set. However, there are examples of 2-component plane curves for which this phenomenon fails. In this talk, I will present a generalization of Caporaso-Turchet's work to a 3-component curve on Hirzebruch surfaces and an approach to the study of the exceptional set of a 2-component plane curve with certain restrictions on the degree. The talk is based on the speaker's PhD thesis and ongoing work joint with Kelvin Lian.
Il seminario sarà presentato in presenza nell'aula M1. Per ulteriori informazioni, si può contattare gli organizzatori all'email amos.turchet@uniroma3.it.
