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arxiv: 1701.03852 · v1 · pith:XZ6CY2K2new · submitted 2017-01-13 · 🧮 math.AG

The multidegree of the multi-image variety

classification 🧮 math.AG
keywords cohomologymulti-imagemultidegreesubvarietyvarietycamerasclasscompute
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The multi-image variety is a subvariety of Gr(1,P^3)^n that models taking pictures with n rational cameras. We compute its cohomology class in the cohomology of Gr(1,P^3)^n, and from there its multidegree as a subvariety of (P^5)^n under the Pl\"ucker embedding.

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