Webor bounded the covering gonality for specific classes of complex varieties [1, 2, 13, 7]. In this article we study the covering gonality of varieties over arbitrary fields. Definition 1.1. Let X be an irreducible proper variety of dimension n over a field k. The covering gonality of X over k, denoted cvg(X), is the minimal e such that there WebMay 1, 2015 · Introduction. Let V be a smooth connected complete curve over C which admits a structure of d -cyclic covering of the projective line P 1 with n branch points. In …
arXiv:1511.01359v2 [math.AG] 30 Nov 2016
WebDec 15, 2024 · The gonality of an algebraic curve defined over a number field is bounded from below by the stable gonality of the intersection dual graph of its reduction modulo any prime ideal of the number field. This makes stable gonality of graphs relevant for number theoretic problems (e.g. [17]). WebAug 1, 2024 · These include the least degree of a rational covering of projective space, and the minimal gonality of a covering family of curves. The theme is that positivity … farm dog flowers batavia
[PDF] Cycles on abelian varieties Semantic Scholar
WebWe define the covering gonality and separable covering gonality of varieties over arbitrary fields, generalizing the definition given by Bastianelli, De Poi, Ein, Lazarsfeld, and Ullery for complex varieties. We show that, over an algebraically closed field, a smooth multidegree (d1,…,dk)complete intersection in ℙNhas separable covering WebGonality of abelian varieties317 is obtained by a direct generalization of Pirola’s arguments in [Pir89], says that “naturallydefinedsubsets”ofabelianvarieties(seeDefinition2.1),assumingthey arepropersubsetsforverygeneralabelianvarietiesofagivendimensiong,areat … WebWe study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of … free online hs diploma