Sabancı Üniversitesi Cebir Seminerleri
The Bertini Irreducibility Theorem for Higher Codimensional Slices
Alec Shute
Institute of Science and Technology Austria, Avusturya
In this talk, I will present joint work with Philip Kmentt, in which we investigate, for a projective, geometrically irreducible variety $X$ over an arbitrary field, and a positive integer $k$, the dimension of the locus of “bad” linear spaces $H$ of codimension $k$ whose intersection with $X$ is no longer geometrically irreducible. Our work generalises the method of random hyperplane slicing over finite fields recently developed by Poonen and Slavov to treat the case $k = 1$.
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Meeting ID: 943 6858 7993 Passcode: 658402
