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PrymCanonicalCurves : Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
addANodeAndExtend2Torsion
-- add a node to a canonical curve and extend a 2-Torsion divisor to the new curve
addANodeAndExtend2Torsion(Ideal,List,List)
-- add a node to a canonical curve and extend a 2-Torsion divisor to the new curve
check2Torsion
-- Check that D_0-D_1 represents is a two torsion divisor on the curve defined by J
check2Torsion(Ideal,List)
-- Check that D_0-D_1 represents is a two torsion divisor on the curve defined by J
extraSyzygyInGenus8
-- study the extra syzygy of a random Prym canonical curve of genus 8
extraSyzygyInGenus8(Ideal)
-- study the extra syzygy of a random Prym canonical curve of genus 8
getAPrymCanonicalCurve
-- get a Prym canonical curve
getAPrymCanonicalCurve(ZZ,ZZ)
-- get a Prym canonical curve
getCanonicalCurveOfGenus8With2Torsion
-- Construct a canonical curve C of genus 8 together with a 2-torsion divisor and n extra points
getCanonicalCurveOfGenus8With2Torsion(PolynomialRing,ZZ)
-- Construct a canonical curve C of genus 8 together with a 2-torsion divisor and n extra points
getSepticOfGenus8With2Torsion
-- Construct a plane septic curve C of geometric genus 8 together with a 2-torsion divisor
getSepticOfGenus8With2Torsion(PolynomialRing)
-- Construct a plane septic curve C of geometric genus 8 together with a 2-torsion divisor
PrymCanonicalCurves
-- construction of Prym canonical curves
prymCanonicalEmbedding
-- Compute the Prym canonical image
prymCanonicalEmbedding(Ideal,List)
-- Compute the Prym canonical image
randomOneNodalPrymCanonicalCurveOfGenus8
-- pick a random Prym canonical curve of arithmetic genus 8 with one node
randomOneNodalPrymCanonicalCurveOfGenus8(PolynomialRing)
-- pick a random Prym canonical curve of arithmetic genus 8 with one node
randomPrymCanonicalCurveOfGenus7
-- pick a random Prym canonical curve of genus 7
randomPrymCanonicalCurveOfGenus7(PolynomialRing)
-- pick a random Prym canonical curve of genus 7
simplifyDivisor
-- Simplify the representation of a divisor on a curve.
simplifyDivisor(Ideal,List,List)
-- Simplify the representation of a divisor on a curve.