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Birationally solid Fano 3-fold hypersurfaces

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arxiv 2305.06183 v3 pith:4EYPLDV2 submitted 2023-05-10 math.AG

Takuzo Okada This is my paper · ORCID
classification math.AG
keywords birationallyfanosolidfoldhypersurfacesbasebirationalclassification
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abstract

A Fano variety of Picard number $1$ is said to be \textit{birationally solid} if it is not birational to a Mori fiber space over a positive dimensional base. In this paper we complete the classification of quasi-smooth birationally solid Fano $3$-fold weighted hypersurfaces.

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  1. A survey on birational Rigidity of threefold Weighted Complete Intersections

    math.AG 2025-08 accept novelty 2.0 of 10

    A survey that collects and organizes the birational rigidity, solidity, and rationality results for Fano threefold weighted complete intersections, including tables and open problems.

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