On the degree of Fano schemes of linear subspaces on hypersurfaces

In this paper we propose and prove an explicit formula for computing the degree of Fano schemes of linear subspaces on general hypersurfaces. The method used here is based on the localization theorem and Bott's residue formula in equivariant intersection theory.

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Auteur principal: Đặng, Tuấn Hiệp
Format: Journal article
Langue:English
Publié: 2023
Accès en ligne:https://scholar.dlu.edu.vn/handle/123456789/2326
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Thư viện lưu trữ: Thư viện Trường Đại học Đà Lạt
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Résumé:In this paper we propose and prove an explicit formula for computing the degree of Fano schemes of linear subspaces on general hypersurfaces. The method used here is based on the localization theorem and Bott's residue formula in equivariant intersection theory.