Numerical invariants of Fano schemes of linear subspaces on complete intersections

2016/02/11 by Hiep, Dang Tuan · 1 citation
#14C05 #14C17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.03659

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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• Polynomiality of the Striling coefficients of c(Pol^d(ℂⁿ)) and Fano schemes

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