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arXiv · 1909.12647

A categorical invariant for geometrically rational surfaces with a conic bundle structure

Marcello Bernardara·Sara Durighetto
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Abstract

We define a categorical birational invariant for minimal geometrically rational surfaces with a conic bundle structure over a perfect field via components of a natural semiorthogonal decomposition. Together with the similar known result on del Pezzo surfaces, this provides a categorical birational invariant for geometrically rational surfaces.

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Marcello Bernardara, Sara Durighetto. 2019-09-27. A categorical invariant for geometrically rational surfaces with a conic bundle structure. https://arxiv.org/abs/1909.12647

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