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September 28, 2025Open Access

A survey on birational Rigidity of threefold Weighted Complete Intersections

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Birational rigidity has significant implications for the study of Fano threefolds, particularly in understanding their geometry.
The survey covers various aspects of weighted complete intersections and their role in birational rigidity.
Insights gained from such studies help clarify the structure and properties of these geometrical entities.
Understanding these relationships is crucial for advancing knowledge in algebraic geometry and related fields.

This survey explores birational rigidity in Fano threefolds through the lens of weighted complete intersections.

We survey what is known about Fano threefold weighted complete intersections from the point of view of birational rigidity.

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Guerreiro et al. (2025) studied this question.

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This survey explores birational rigidity in Fano threefolds through the lens of weighted complete intersections.

We survey what is known about Fano threefold weighted complete intersections from the point of view of birational rigidity.