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Boundedness of divisors on Fano fibrations K. V. Loginovabc a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow b Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow c Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region |
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Аннотация: Fano fibrations are natural objects that appear in the Mori program, which aims to classify higher-dimensional algebraic varieties. Unlike Fano varieties, Fano fibrations of a given dimension and with restricted singularities are not bounded. Nevertheless, we show that under some conditions, divisors on such fibrations are bounded. This result has applications for bounding the irrationality of fibers in del Pezzo fibrations (a del Pezzo surface is a Fano variety of dimension 2). Also it implies boundedness for divisors on resolutions of singularities on threefolds under some conditions. The talk is based on a joint work with C. Birkar. Язык доклада: английский Website: https://us02web.zoom.us/j/2162766238?pwd=TTBraGwvQ3Z3dWVpK3RCSFNMcWNNZz09 * ID: 216 276 6238, password: residue |