Results 1 to 10 of about 37 (30)

Generalized de Jonqui eres divisors on generic curves [PDF]

, 2023
The classical de Jonqui`eres and MacDonald formulas describe the virtual number of divisors with prescribed multiplicities in a linear system on an algebraic curve. We discuss the enumerative validity of the de Jonqui`eres formulas for a general curve of
Gavril Farkas, FARKAS, Gavril
core   +1 more source

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

Séisme de Porrentruy (Suisse) 22 mars 2023 à 14h51 TU Magnitude 4,4 ML(RENASS) Intensité maximale (en France) : IV (EMS98)

Funding: EOST/BCSF-Rénass , CNRS , University of Strasbourg.Financement : EOST/BCSF-Rénass , CNRS , Université de ...
Mendel, Véronique, Dretzen, Rémi, Lambotte, Sophie, Grunberg, Marc, Sira, Christophe   +4 more
core   +5 more sources

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

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

Videos of playbacks

, 2019
Set of 28 videos: reaction of titi monkeys to the playback of alarm calls of conspecifics.Experimental paradigm: playback of 10 alarm calls from a member of the group or from a neighbour.
Mélissa Berthet (4235059)
core   +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

Newton polygons and curve gonalities

, 2012
We give a combinatorial upper bound for the gonality of a curve that is defined by a bivariate Laurent polynomial with given Newton polygon. We conjecture that this bound is generically attained, and provide proofs in a considerable number of special ...
Wouter Castryck, Filip Cools
core