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2022 AGSS Fundamental vanishing theorem of... Lecture 1 Songyan Xie
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Speaker: Songyan Xie (CAS) Title: Fundamental vanishing theorem of entire curves and applications Abstract: Key ideas behind the fundamental vanishing theorem of entire curves canbetraced back to a seminal paper of André Bloch about one hundred years ago. We will reviewsome historical developments, and applications in complex hyperbolicity problems. Somerelated positivity results in algebraic geometry will also be discussed. Reference: 1. Bloch, André Sur les systèmes de fonctions uniformes satisfaisant à l'équation d'une vari été algébrique dont l'irrégularité dépasse la dimension 2. Siu, Yum-Tong Hyperbolicity of generic high-degree hypersurfaces in complex projectivespace. 3. Yamanoi, Katsutoshi Kobayashi hyperbolicity and higher-dimensional Nevanlinna theory.
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