A survey that collects and organizes the birational rigidity, solidity, and rationality results for Fano threefold weighted complete intersections, including tables and open problems.
Birationally solid Fano 3-fold hypersurfaces
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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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A survey on birational Rigidity of threefold Weighted Complete Intersections
A survey that collects and organizes the birational rigidity, solidity, and rationality results for Fano threefold weighted complete intersections, including tables and open problems.