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arXiv · 1602.03659

Numerical invariants of Fano schemes of linear subspaces on complete intersections

Dang Tuan Hiep
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Abstract

The goal of this paper is to explore the genus and degree of the Fano scheme of linear subspaces on a complete intersection in a complex projective space. Firstly, suppose that the expected dimension of the Fano scheme is one, we prove a genus-degree formula. Secondly, we give a degree formula for the Fano scheme.

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Dang Tuan Hiep. 2016-02-11. Numerical invariants of Fano schemes of linear subspaces on complete intersections. https://arxiv.org/abs/1602.03659

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