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October 8, 2025Open Access

Birational geometry of weighted complete intersections of type $(12, 14)$ in $P (1, 2, 3, 4, 7, 11)$

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Any quasismooth Fano threefold of type (12, 14) in projective space is birationally solid.
The study demonstrates that these geometrical structures exhibit significant properties in birational geometry.
Exploration of weighted complete intersections can enhance understanding of complex geometry phenomena.
The findings contribute to the broader context of algebraic geometry and its implications for Fano varieties.

Analysis reveals birational solidity in quasismooth Fano threefolds, indicating their geometric significance in weighted complete intersections.

We show that any quasismooth Fano threefold weighted complete intersections of type $(12, 14)$ in P (1, 2, 3, 4, 7, 11) is birationally solid.

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Takuzo Okada (2025) studied this question.

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Analysis reveals birational solidity in quasismooth Fano threefolds, indicating their geometric significance in weighted complete intersections.

We show that any quasismooth Fano threefold weighted complete intersections of type $(12, 14)$ in P (1, 2, 3, 4, 7, 11) is birationally solid.