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#caustics
#plane curves
#algebraic geometry
#topology
#invariants
#contact structures
#contact topology
#wave fronts
#waves
#curves
#points
#control
#convex
#inflection point
#point of inflection
#southern curve
#interpolation
#singularities
#tennis ball
#hemisphere
#affine
#affine line
#affine curve
#caustics
#plane curves
#algebraic geometry
#topology
#invariants
#contact structures
#contact topology
#wave fronts
#waves
#curves
#points
#control
#convex
#inflection point
#point of inflection
#southern curve
#interpolation
#singularities
#tennis ball
#hemisphere
#affine
#affine line
#affine curve
#caustics
#plane curves
#algebraic geometry
#topology
#invariants
#contact structures
#contact topology
#wave fronts
#waves
#curves
#points
#control
#convex
#inflection point
#point of inflection
#southern curve
#interpolation
#singularities
#tennis ball
#hemisphere
#affine
#affine line
#affine curve
#pencil
#algebraic geometry
#dehn twist
#max dehn
#kirby calculus
#robion kirby
#solomon lefschetz
#manifolds
#surgery
#topology
#mathematics
#maths
#blowing up
#blowup
#complex projective plane
#projective geometry
#singularity
#singularities
#fibrations
#genus
#surfaces
#excision
#4manifolds
#bundles
#monodromy
#cylinder
#torus
#pencil
#algebraic geometry
#dehn twist
#max dehn
#kirby calculus
#robion kirby
#solomon lefschetz
#manifolds
#surgery
#topology
#mathematics
#maths
#blowing up
#blowup
#complex projective plane
#projective geometry
#singularity
#singularities
#fibrations
#genus
#surfaces
#excision
#4manifolds
#bundles
#monodromy
#cylinder
#torus
#pencil
#algebraic geometry
#dehn twist
#max dehn
#kirby calculus
#robion kirby
#solomon lefschetz
#manifolds
#surgery
#topology
#mathematics
#maths
#blowing up
#blowup
#complex projective plane
#projective geometry
#singularity
#singularities
#fibrations
#genus
#surfaces
#excision
#4manifolds
#bundles
#monodromy
#cylinder
#torus
#pencil
#algebraic geometry
#dehn twist
#max dehn
#kirby calculus
#robion kirby
#solomon lefschetz
#manifolds
#surgery
#topology
#mathematics
#maths
#blowing up
#blowup
#complex projective plane
#projective geometry
#singularity
#singularities
#fibrations
#genus
#surfaces
#excision
#4manifolds
#bundles
#monodromy
#cylinder
#torus
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