A survey that collects and organizes the birational rigidity, solidity, and rationality results for Fano threefold weighted complete intersections, including tables and open problems.
K-stablity of Fano threefold hypersurfaces of index 1
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
We settle the problem of K-stability of quasi-smooth Fano 3-fold hypersurfaces with Fano index 1 by providing lower bounds for their delta invariants. We use the method introduced by Abban and Zhuang for computing lower bounds of delta invariants on flags of hypersurfaces in the Fano 3-fold.
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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.