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arXiv · 2412.14857

On the standard models of del Pezzo fibrations of degree four

Natsume Kitagawa
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Abstract

Corti defined the notion of standard models of del Pezzo fibrations, and studied their existence over $\mathbb{C}$ with a fixed generic fibre. In this paper, we prove the existence of standard models of del Pezzo fibrations of degree $4$ in characteristic $>2$. To show this, we use the notion of Koll\'ar stability, which was introduced by Koll\'ar and Abban-Fedorchuk-Krylov.

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Natsume Kitagawa. 2024-12-19. On the standard models of del Pezzo fibrations of degree four. https://arxiv.org/abs/2412.14857

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