PlaneCurveLinearSeries : Index

• addition -- addition of smooth points on a curve of genus 1
• addition(...,Conductor=>...) -- addition of smooth points on a curve of genus 1
• addition(Ideal,Ideal,Ideal) -- addition of smooth points on a curve of genus 1
• addition(List,List,List,Ring) -- addition of smooth points on a curve of genus 1
• canonicalImage -- canonical model of the normalization of a plane curve
• canonicalImage(...,Conductor=>...) -- canonical model of the normalization of a plane curve
• canonicalImage(Ideal) -- canonical model of the normalization of a plane curve
• canonicalImage(Ring) -- canonical model of the normalization of a plane curve
• canonicalSeries -- Canonical series of the normalization of a plane curve
• canonicalSeries(...,Conductor=>...) -- Canonical series of the normalization of a plane curve
• canonicalSeries(Ideal) -- Canonical series of the normalization of a plane curve
• canonicalSeries(Ring) -- Canonical series of the normalization of a plane curve
• Conductor -- Option to avoid computation
• fromCoordinates -- Compute the ideal of a point from its coordinates
• fromCoordinates(List,Ring) -- Compute the ideal of a point from its coordinates
• fromCoordinates(ZZ,ZZ,ZZ,Ring) -- Compute the ideal of a point from its coordinates
• geometricGenus -- Geometric genus of a (singular) plane curve
• geometricGenus(...,Conductor=>...) -- Geometric genus of a (singular) plane curve
• geometricGenus(Ideal) -- Geometric genus of a (singular) plane curve
• geometricGenus(Ring) -- Geometric genus of a (singular) plane curve
• linearSeries -- compute a linear series
• linearSeries(...,Conductor=>...) -- compute a linear series
• linearSeries(...,ShowBase=>...) -- compute a linear series
• linearSeries(Ideal) -- compute a linear series
• linearSeries(Ideal,Ideal) -- compute a linear series
• linearSeries(List,List,Ring) -- compute a linear series
• linearSeries(List,Ring) -- compute a linear series
• negative -- implements the inverse in the group law of a curve of genus 1
• negative(...,Conductor=>...) -- implements the inverse in the group law of a curve of genus 1
• negative(Ideal,Ideal) -- implements the inverse in the group law of a curve of genus 1
• negative(List,List,Ring) -- implements the inverse in the group law of a curve of genus 1
• PlaneCurveLinearSeries -- Linear series on the normalization of a plane curve
• projectiveImage -- Projective image of the map defined by a divisor or matrix
• projectiveImage(...,Conductor=>...) -- Projective image of the map defined by a divisor or matrix
• projectiveImage(Ideal) -- Projective image of the map defined by a divisor or matrix
• projectiveImage(Ideal,Ideal) -- Projective image of the map defined by a divisor or matrix
• projectiveImage(List,List,Ring) -- Projective image of the map defined by a divisor or matrix
• projectiveImage(List,Ring) -- Projective image of the map defined by a divisor or matrix
• projectiveImage(Matrix) -- Projective image of the map defined by a divisor or matrix
• ShowBase -- Option for @TO linearSeries@
• toCoordinates -- coordinates of a point from its ideal
• toCoordinates(Ideal) -- coordinates of a point from its ideal