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arXiv · 2309.03334

The 4-Intersection Unprojection Format

Vasiliki Petrotou
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Abstract

Unprojection theory is a philosophy due to Miles Reid, which becomes a useful tool in algebraic geometry for the construction and the study of new interesting geometric objects such as algebraic surfaces and 3-folds. In the present work we introduce a new format of unprojection, which we call the 4-intersection format. It is specified by a codimension 2 complete intersection ideal which is contained in four codimension 3 complete intersection ideals and leads to the construction of codimension 6 Gorenstein rings. As an application, we construct three families of codimension 6 Fano 3-folds embedded in weighted projective space.

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Vasiliki Petrotou. 2023-09-06. The 4-Intersection Unprojection Format. https://arxiv.org/abs/2309.03334

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