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Joint Mathematical seminar of Saint Petersburg State University and Peking University
March 28, 2024 16:00–17:00, St. Petersburg, online
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Birational geometry of del Pezzo surfaces
C. A. Shramovab a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b HSE University, Moscow
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Abstract:
A del Pezzo surface is a smooth projective surface with ample anticanonical divisor. Over an
algebraically closed field, any surface like this is rational. However, without this assumption del
Pezzo surfaces exhibit very interesting birational properties. I will survey some old and new results
about birational geometry of del Pezzo surfaces over arbitrary fields, mostly focusing on Severi–Brauer surfaces, quadrics, and del Pezzo surfaces of degree 4.
Language: English
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