Covering gonality
WebJan 8, 2024 · Then the covering gonality of S is { {\mathrm {cov.gon}}} (S)=d-2, and any family of irreducible curves computing the covering gonality is equivalent to (a subfamily of) one of the families described in Example 3.4 of the original paper. Example Assume that there exist two rational curves R_1,R_2\subset S. WebAug 1, 2024 · Covering gonality of symmetric products of curves and Cayley-Bacharach condition on Grassmannians Francesco Bastianelli, Nicola Picoco Given an irreducible projective variety , the covering gonality of is the least gonality of an irreducible curve passing through a general point of .
Covering gonality
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WebJustia Free Databases of US Laws, Codes & Statutes. 2024 Georgia Code Title 19 - Domestic Relations Chapter 9 - Child Custody Proceedings Article 2 - Child Custody … 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
WebAbstract This thesis is divided into three parts. In the first, we define the covering gonality and separable covering gonality of varieties over fields of positive characteristic, … Webexample, the covering gonality of a uniruled manifold is 1, while its irrationality is 1 only if it is rational. One can similarly introduce the “covering genus” covgen(X), namely the genus of a curve C, which is the general fiber of a family ψ: C → B, φ: C → X of curves …
WebJan 24, 2024 · The covering gonality of an irreducible projective variety over the complex numbers is the minimum gonality of a curve through a general point on … WebWe study the (covering) gonality of abelian varieties and their orbits of zero-cycles for rational equivalence. We show that any orbit for rational equivalence of zero-cycles of degree $k$ has… Expand 15 PDF Save Alert Chern-Dold character in complex cobordisms and theta divisors V. Buchstaber, A. Veselov Mathematics 2024
Webthat covering gonality four is in fact achieved by an (essentially) unique explicit family of curves and the same for connecting gonality five, which we now describe. Given a line ℓ ⊂ X, one defines the incidence divisor Dℓ ⊂ S parametrising lines is either of first or of second type. The locus of lines of second type for a general
WebJun 3, 2011 · Answering a question posed by Peskine, we show the gonality of C is d l, where d is the degree of the curve and l is the maximum order of a multisecant line of C. … scottish authors 2020scottish autism job vacanciesWebor 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 scottish autism access peopleWebOur first results concern covering gonality. Theorem A. Let X ⊆ Pn+1 be a smooth hypersurface of dimension n and degree d ≥ n+2. Then cov.gon(X) ≥ d−n. More generally, we show that v(X) ≥ d − n. Observe that one recovers in particular the lower bound (2) of Bastianelli, Cortini and De Poi on the degree of irrationality of such ... scottish autotrader used vansWebMay 1, 2024 · Since cov. gon (Y) = 1 is equivalent to Y being uniruled, we can think of the covering gonality as a measure of the failure of Y to be uniruled. The following theorem is probably the most general result governing the gonality of moving curves in a very general hypersurface of large degree. scottish autism women and girls programmeWebGonality of abelian varieties317 is obtained by a direct generalization of Pirola’s arguments in [Pir89], says that “naturallydefinedsubsets”ofabelianvarieties(seeDefinition2.1),assumingthey arepropersubsetsforverygeneralabelianvarietiesofagivendimensiong,areat … prerinse assm wallWebTherefore the main issue is bounding the covering gonality from below. In [3], the first author proved that the covering gonality of C(2) equals the gonality of C, i.e. (1.1) is actually an equality, provided that g≥ 3. In this paper, we prove the same for the 3-fold and the 4-fold symmetric product of a curve. Theorem 1.1. pre-rinse assembly