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Workshop on birational geometry
October 30, 2018 19:10–20:10, Moscow, Laboratory of Algebraic Geometry and its applications, Higher School of Economics
 


On non-rational fibers of del Pezzo fibrations

Konstantin Loginov

HSE

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Abstract: It is well known that a cubic del Pezzo surface can degenerate into a cone over an elliptic curve in a non-singular family. We investigate when a del Pezzo surface (of any degree) can degenerate into a non-rational surface in a reasonably good family. By this we mean a del Pezzo fibration over a curve in the sense of the Minimal Model Program. We will show that such degenerations depend on the singularities of the total space of the fibration, and that there is a correspondence between certain degenerations and del Pezzo fibrations with an action of a cyclic group.

Language: English

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