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Diane Maclagan (Warwick)
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Diane Maclagan (Warwick)
11 March 2021
"Toric and tropical Bertini theorems in arbitrary characteristic"
The classical Bertini theorem on irreducibility when intersecting by hyperplanes is a standard part of the algebraic geometry toolkit. This was generalised recently, in characteristic zero, by Fuchs, Mantova, and Zannier to a toric Bertini theorem for subvarieties of an algebraic torus, with hyperplanes replaced by subtori. I will discuss joint work with Gandini, Hering, Mohammadi, Rajchgot, Wheeler, and Yu in which we give a different proof of this theorem that removes the characteristic assumption. An application is a tropical Bertini theorem.
Slides for this talk are available at:
Visit the Online Algebraic Geometry Seminar webpage at:
11 March 2021
"Toric and tropical Bertini theorems in arbitrary characteristic"
The classical Bertini theorem on irreducibility when intersecting by hyperplanes is a standard part of the algebraic geometry toolkit. This was generalised recently, in characteristic zero, by Fuchs, Mantova, and Zannier to a toric Bertini theorem for subvarieties of an algebraic torus, with hyperplanes replaced by subtori. I will discuss joint work with Gandini, Hering, Mohammadi, Rajchgot, Wheeler, and Yu in which we give a different proof of this theorem that removes the characteristic assumption. An application is a tropical Bertini theorem.
Slides for this talk are available at:
Visit the Online Algebraic Geometry Seminar webpage at:
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