Conic bundles that are not birational to numerical Calabi--Yau pairsArticle
Auteurs : János Kollár
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János Kollár
Let $X$ be a general conic bundle over the projective plane with branch curve
of degree at least 19. We prove that there is no normal projective variety $Y$
that is birational to $X$ and such that some multiple of its anticanonical
divisor is effective. We also give such examples for 2-dimensional conic
bundles defined over a number field.
Mario Kummer;Cédric Le Texier;Matilde Manzaroli, 2022, Real-Fibered Morphisms of del Pezzo Surfaces and Conic Bundles, Discrete and computational geometry/Discrete & computational geometry, 69, 3, pp. 849-872, 10.1007/s00454-022-00427-3, https://doi.org/10.1007/s00454-022-00427-3.