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arXiv · 2204.08864

Notes on cylinders in smooth projective surfaces

Masatomo Sawahara
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Abstract

In this article, we determine the existing condition of cylinders in smooth minimal geometrically rational surfaces over a perfect field. Furthermore, we show that for any birational map between smooth projective surfaces, one contains a cylinder if and only if so does the other.

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Masatomo Sawahara. 2022-04-19. Notes on cylinders in smooth projective surfaces. https://doi.org/10.1007/s10711-022-00741-3

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