On the standard models of del Pezzo fibrations of degree four

2024/12/19 by Natsume Kitagawa, Kitagawa, Natsume
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2412.14857

openalex publication_date 2024/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Corti defined the notion of standard models of del Pezzo fibrations, and studied their existence over 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 Kollár stability, which was introduced by Kollár and Abban-Fedorchuk-Krylov.

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