Results 1 to 10 of about 28 (28)

Brill-Noether theory for curves of a fixed gonality

Forum of Mathematics, Pi, 2021
We prove a generalisation of the Brill-Noether theorem for the variety of special divisors $W^r_d(C)$ on a general curve C of prescribed gonality. Our main theorem gives a closed formula for the dimension of $W^r_d(C)$ . We build on previous
David Jensen, Dhruv Ranganathan
doaj   +1 more source

Geometry of intersections of some secant varieties to algebraic curves

Journal of the London Mathematical Society, Volume 103, Issue 1, Page 288-313, January 2021., 2021
Abstract For a smooth projective curve, the cycles of subordinate or, more generally, secant divisors to a given linear series are among some of the most studied objects in classical enumerative geometry. We consider the intersection of two such cycles corresponding to secant divisors of two different linear series on the same curve and investigate the
Mara Ungureanu
wiley   +1 more source

A metric graph satisfying w41=1$w_4^1 = 1$ that cannot be lifted to a curve satisfying dim⁡ (W41)=1$\dim \;(W_4^1 ) = 1$

Open Mathematics, 2016
For all integers g ≥ 6 we prove the existence of a metric graph G with w41=1$w_4^1 = 1$ such that G has Clifford index 2 and there is no tropical modification G′ of G such that there exists a finite harmonic morphism of degree 2 from G′ to a metric ...
Coppens Marc
doaj   +1 more source

HYPERELLIPTIC GRAPHS AND METRIZED COMPLEXES

Forum of Mathematics, Sigma, 2017
We prove a version of Clifford’s theorem for metrized complexes. Namely, a metrized complex that carries a divisor of degree $2r$ and rank
YOAV LEN
doaj   +1 more source

Covering gonality of symmetric products of curves and Cayley–Bacharach condition on Grassmannians

Forum of Mathematics, Sigma
Given an irreducible projective variety X, the covering gonality of X is the least gonality of an irreducible curve $E\subset X$ passing through a general point of X. In this paper, we study the covering gonality of the k-fold symmetric product
Francesco Bastianelli, Nicola Picoco
doaj   +1 more source

Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on severi varieties on $K3$ surfaces

Forum of Mathematics, Sigma
Under the assumption that the adjusted Brill-Noether number $\widetilde {\rho }$ is at least $-g$ , we prove that the Brill-Noether loci in ${\mathcal M}_{g,n}$ of pointed curves carrying pencils with prescribed ramification at the ...
Andreas Leopold Knutsen, Sara Torelli
doaj   +1 more source

Gonality for stable curves and their maps with a smooth curve as their target

Open Mathematics, 2009
Ballico Edoardo
doaj   +1 more source

Very ample linear series on quadrigonal curves

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2022
Gerriet Martens, Marc Coppens
exaly  

Components of Brill–Noether Loci for Curves with Fixed Gonality

Michigan Mathematical Journal, 2021
exaly