On a Family of Special Linear Systems on Algebraic Curves

1984 ◽  
Vol 90 (3) ◽  
pp. 355
Author(s):  
Edmond E. Griffin II
Keyword(s):  
Linear Systems ◽  
Algebraic Curves ◽  
Special Linear

scholarly journals Very special divisors on 4-gonal real algebraic curves

2015 ◽  
Vol 15 (2) ◽  
Author(s):  
Jean-Philippe Monnier
Keyword(s):  
Linear Systems ◽  
Algebraic Curves ◽  
Special Linear ◽  
Real Algebraic Curves ◽  
Real Curve

AbstractGiven a real curve, we study special linear systems called “very special” for which the dimension does not satisfy a Clifford type inequality.We classify all these very special linear systems when the gonality of the curve is small.

ON THE VARIETY OF SPECIAL LINEAR SYSTEMS OF DEGREE g-1 ON SMOOTH ALGEBRAIC CURVES

2002 ◽  
Vol 13 (01) ◽  
pp. 11-29 ◽  
Author(s):  
KYUNG-HYE CHO ◽  
CHANGHO KEEM ◽  
AKIRA OHBUCHI
Keyword(s):  
Linear Systems ◽  
Algebraic Curves ◽  
Double Covering ◽  
Trigonal Curve ◽  
Special Linear ◽  
Smooth Plane ◽  
Genus 2 ◽  
G 11

We classify smooth projective algebraic curves C of genus g such that the variety of special linear systems [Formula: see text] has dimension g- 7. We first prove that if [Formula: see text] has dimension g-7≥0 then C is either trigonal, tetragonal, a double covering of a curve of genus 2 or a smooth plane sextic. This result establishes the next extension of dimension theorems of H. Martens and D. Mumford on the variety of special linear systems with the fullest possible generality. We then proceed to show that, under the assumption g≥11, [Formula: see text] has dimension g- 7 if and only if C is either a trigonal curve or a double covering of a curve of genus 2.

scholarly journals Special linear systems and syzygies

2008 ◽  
Vol 59 (3) ◽  
pp. 239-254 ◽  
Author(s):  
Alberto Alzati
Keyword(s):  
Linear Systems ◽  
Special Linear

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

2016 ◽  
Vol 14 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Marc Coppens
Keyword(s):  
Linear Systems ◽  
Harmonic Morphism ◽  
Metric Graphs ◽  
Clifford Index ◽  
Special Linear ◽  
Metric Graph ◽  
Index 2

AbstractFor all integers g ≥ 6 we prove the existence of a metric graph G with $w_4^1 = 1$ 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 graph of genus 1. Those examples show that not all dimension theorems on the space classifying special linear systems for curves have immediate translation to the theory of divisors on metric graphs.

scholarly journals Approximate parametrization of plane algebraic curves by linear systems of curves

2010 ◽  
Vol 27 (2) ◽  
pp. 212-231 ◽  
Author(s):  
Sonia Pérez-Díaz ◽  
J. Rafael Sendra ◽  
Sonia L. Rueda ◽  
Juana Sendra
Keyword(s):  
Linear Systems ◽  
Algebraic Curves

scholarly journals On a notion of toric special linear systems

2019 ◽  
Vol 223 (8) ◽  
pp. 3225-3237
Author(s):  
Joaquín Moraga
Keyword(s):  
Linear Systems ◽  
Special Linear
Sign in / Sign up

Export Citation Format

Share Document