Bounding the genus of subvarieties of generic hypersurfaces from below

2002/11/18 by Herbert Clemens, Clemens, Herbert
Mathematics · #14C25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C25

paper · pdf · doi:10.48550/arxiv.math/0211257

29 pages, latex2e file

arxiv created 2002/11/18 · arxiv updated 2009/11/30

Abstract

A second-order invariant of C. Voisin gives a powerful method for bounding from below the geometric genus of a k-dimensional subvariety of a degree-d hypersurface in complex projective n-space. This work uses the Voisin method to establish a general bound, which lies behind recent results of G. Pacienza and Z. Ran.

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