2016/01/26 by Ciro Ciliberto, Ciliberto, Ciro, Flaminio Flamini +3
Computer Science · Mathematics · #14C20 #14J29 #14J70 #14N25 #32Q45 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1601.07082
openalex publication_date 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the possible values for geometric genera of subvarieties in a smooth projective variety. Values which are not attained are called gaps. For curves on a very general surface in ℙ3, the initial gap interval was found by Xu (see [7] in References), and the next one in our previous paper (see [4] in References), where also the finiteness of the set of gaps was established and an asymptotic upper bound of this set was found. In the present paper we extend some of these results to smooth projective varieties of arbitrary dimension using a different approach.