Alexander Perepechko
Published 2023-05-10Version 1
Generic flexibility of affine cones over del Pezzo surfaces are subject of active study recently. The question is completely studied in degree at least 3, and partially in degree 2. We present a Sagemath module that facilitates most operations for verifying the generic flexibility of affine cones over del Pezzo surfaces and weak del Pezzo surfaces of arbitrary degree, depending on a polarization. Using it, we verified generic flexibility of affine cones over polarizations of surfaces of degree 1 under certain conditions and over arbitrary very ample polarizations of weak del Pezzo surfaces of degree 6.
Comments: 10 pages, 1 figure
Group actions on affine cones
Global $F$-regularity for weak del Pezzo surfaces
Local delta invariants of weak del Pezzo surfaces with the anti-canonical degree $\geq 5$
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