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Daniel Huybrechts: Nodal quintic surfaces and lines on cubic fourfolds

Time: Tue 2021-09-28 13.15 - 14.15

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan (alt. Zoom, meeting ID: 921 756 1880)

Participating: Daniel Huybrechts (University of Bonn)

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Abstract: Quintic surfaces with 16 nodes can be seen as natural generalizations of singular Kummer quartic surfaces. They also appear naturally in the context of Fano varieties of lines on cubic fourfolds and have been studied by many people (Beauville, Catanese, Fano, Izadi, Shen, Voisin,….). I will explain how some of the well-known results can be refined and discuss some open questions.