diff --git a/crates/fj-kernel/src/algorithms/sweep/vertex.rs b/crates/fj-kernel/src/algorithms/sweep/vertex.rs
index 4bf5f662a..05ae32dcd 100644
--- a/crates/fj-kernel/src/algorithms/sweep/vertex.rs
+++ b/crates/fj-kernel/src/algorithms/sweep/vertex.rs
@@ -2,7 +2,7 @@ use fj_math::Vector;
 
 use crate::{
     insert::Insert,
-    objects::{GlobalCurve, GlobalEdge, GlobalVertex, Objects},
+    objects::{GlobalEdge, GlobalVertex, Objects},
     services::Service,
     storage::Handle,
 };
@@ -18,8 +18,6 @@ impl Sweep for Handle<GlobalVertex> {
         cache: &mut SweepCache,
         objects: &mut Service<Objects>,
     ) -> Self::Swept {
-        let curve = GlobalCurve.insert(objects);
-
         let a = self.clone();
         let b = cache
             .global_vertex
@@ -30,8 +28,7 @@ impl Sweep for Handle<GlobalVertex> {
             .clone();
 
         let vertices = [a, b];
-        let global_edge =
-            GlobalEdge::new(curve, vertices.clone()).insert(objects);
+        let global_edge = GlobalEdge::new(vertices.clone()).insert(objects);
 
         // The vertices of the returned `GlobalEdge` are in normalized order,
         // which means the order can't be relied upon by the caller. Return the
diff --git a/crates/fj-kernel/src/algorithms/transform/edge.rs b/crates/fj-kernel/src/algorithms/transform/edge.rs
index 4c5b7b242..1b3be7b98 100644
--- a/crates/fj-kernel/src/algorithms/transform/edge.rs
+++ b/crates/fj-kernel/src/algorithms/transform/edge.rs
@@ -43,15 +43,11 @@ impl TransformObject for GlobalEdge {
         objects: &mut Service<Objects>,
         cache: &mut TransformCache,
     ) -> Self {
-        let curve = self
-            .curve()
-            .clone()
-            .transform_with_cache(transform, objects, cache);
         let vertices =
             self.vertices().access_in_normalized_order().map(|vertex| {
                 vertex.transform_with_cache(transform, objects, cache)
             });
 
-        Self::new(curve, vertices)
+        Self::new(vertices)
     }
 }
diff --git a/crates/fj-kernel/src/builder/edge.rs b/crates/fj-kernel/src/builder/edge.rs
index eacb8d1eb..a740408b3 100644
--- a/crates/fj-kernel/src/builder/edge.rs
+++ b/crates/fj-kernel/src/builder/edge.rs
@@ -223,9 +223,6 @@ impl HalfEdgeBuilder for PartialHalfEdge {
         other: &Partial<HalfEdge>,
         surface: &SurfaceGeometry,
     ) {
-        let global_curve = other.read().global_form.read().curve.clone();
-        self.global_form.write().curve = global_curve;
-
         self.curve.write().path =
             other.read().curve.read().path.as_ref().and_then(|path| {
                 // We have information about the other edge's surface available.
diff --git a/crates/fj-kernel/src/objects/full/edge.rs b/crates/fj-kernel/src/objects/full/edge.rs
index 7ff6415a6..0f5025e13 100644
--- a/crates/fj-kernel/src/objects/full/edge.rs
+++ b/crates/fj-kernel/src/objects/full/edge.rs
@@ -2,8 +2,8 @@ use fj_interop::ext::ArrayExt;
 use fj_math::Point;
 
 use crate::{
-    objects::{Curve, GlobalCurve, GlobalVertex, SurfaceVertex},
-    storage::{Handle, HandleWrapper},
+    objects::{Curve, GlobalVertex, SurfaceVertex},
+    storage::Handle,
 };
 
 /// A directed edge, defined in a surface's 2D space
@@ -104,7 +104,6 @@ impl HalfEdge {
 /// between [`HalfEdge`] and `GlobalEdge`.
 #[derive(Clone, Debug, Eq, PartialEq, Hash, Ord, PartialOrd)]
 pub struct GlobalEdge {
-    curve: HandleWrapper<GlobalCurve>,
     vertices: VerticesInNormalizedOrder,
 }
 
@@ -114,19 +113,10 @@ impl GlobalEdge {
     /// The order of `vertices` is irrelevant. Two `GlobalEdge`s with the same
     /// `curve` and `vertices` will end up being equal, regardless of the order
     /// of `vertices` here.
-    pub fn new(
-        curve: impl Into<HandleWrapper<GlobalCurve>>,
-        vertices: [Handle<GlobalVertex>; 2],
-    ) -> Self {
-        let curve = curve.into();
+    pub fn new(vertices: [Handle<GlobalVertex>; 2]) -> Self {
         let (vertices, _) = VerticesInNormalizedOrder::new(vertices);
 
-        Self { curve, vertices }
-    }
-
-    /// Access the curve that defines the edge's geometry
-    pub fn curve(&self) -> &Handle<GlobalCurve> {
-        &self.curve
+        Self { vertices }
     }
 
     /// Access the vertices that bound the edge on the curve
diff --git a/crates/fj-kernel/src/partial/objects/edge.rs b/crates/fj-kernel/src/partial/objects/edge.rs
index ada1c7338..ffaece70d 100644
--- a/crates/fj-kernel/src/partial/objects/edge.rs
+++ b/crates/fj-kernel/src/partial/objects/edge.rs
@@ -5,8 +5,7 @@ use fj_math::Point;
 
 use crate::{
     objects::{
-        Curve, GlobalCurve, GlobalEdge, GlobalVertex, HalfEdge, Objects,
-        SurfaceVertex,
+        Curve, GlobalEdge, GlobalVertex, HalfEdge, Objects, SurfaceVertex,
     },
     partial::{FullToPartialCache, Partial, PartialObject},
     services::Service,
@@ -84,7 +83,6 @@ impl Default for PartialHalfEdge {
 
         let global_form = Partial::from_partial(PartialGlobalEdge {
             vertices: global_vertices,
-            ..Default::default()
         });
 
         Self {
@@ -98,9 +96,6 @@ impl Default for PartialHalfEdge {
 /// A partial [`GlobalEdge`]
 #[derive(Clone, Debug, Default)]
 pub struct PartialGlobalEdge {
-    /// The curve that defines the edge's geometry
-    pub curve: Partial<GlobalCurve>,
-
     /// The vertices that bound the edge on the curve
     pub vertices: [Partial<GlobalVertex>; 2],
 }
@@ -113,7 +108,6 @@ impl PartialObject for PartialGlobalEdge {
         cache: &mut FullToPartialCache,
     ) -> Self {
         Self {
-            curve: Partial::from_full(global_edge.curve().clone(), cache),
             vertices: global_edge
                 .vertices()
                 .access_in_normalized_order()
@@ -122,9 +116,7 @@ impl PartialObject for PartialGlobalEdge {
     }
 
     fn build(self, objects: &mut Service<Objects>) -> Self::Full {
-        let curve = self.curve.build(objects);
         let vertices = self.vertices.map(|vertex| vertex.build(objects));
-
-        GlobalEdge::new(curve, vertices)
+        GlobalEdge::new(vertices)
     }
 }