diff --git a/Kernel_23/include/CGAL/Kernel/concept_archetype_functors.h b/Kernel_23/include/CGAL/Kernel/concept_archetype_functors.h
index 346b87cdde0..54a2f1bfdac 100644
--- a/Kernel_23/include/CGAL/Kernel/concept_archetype_functors.h
+++ b/Kernel_23/include/CGAL/Kernel/concept_archetype_functors.h
@@ -648,6 +648,34 @@ public:
     { FT val = 0; return val; }
 };
 
+template <typename K>
+class Compute_determinant_2
+{
+    typedef typename K::FT                FT;
+    typedef typename K::Vector_2          Vector_2;
+public:
+    typedef FT               result_type;
+    typedef Arity_tag< 2 >   Arity;
+
+    FT
+    operator()(const Vector_2& v, const Vector_2& w) const
+    { FT val = 0; return val; }
+};
+
+template <typename K>
+class Compute_determinant_3
+{
+    typedef typename K::FT                FT;
+    typedef typename K::Vector_3          Vector_3;
+public:
+    typedef FT               result_type;
+    typedef Arity_tag< 3 >   Arity;
+
+    FT
+    operator()(const Vector_3& v, const Vector_3& w, const Vector_3& t) const
+    { FT val = 0; return val; }
+};
+
 template <typename K>
 class Compute_scalar_product_2
 {
diff --git a/Kernel_23/include/CGAL/Kernel/concept_archetype_interface_macros.h b/Kernel_23/include/CGAL/Kernel/concept_archetype_interface_macros.h
index 9145f63983b..efc77249fa2 100644
--- a/Kernel_23/include/CGAL/Kernel/concept_archetype_interface_macros.h
+++ b/Kernel_23/include/CGAL/Kernel/concept_archetype_interface_macros.h
@@ -227,6 +227,16 @@ CGAL_Kernel_cons(Compute_area_3,
 		 compute_area_3_object)
 #endif
 
+#if !defined(CGAL_CA_LIMITED_INTERFACE) || defined(CGAL_CA_COMPUTE_DETERMINANT_2)
+CGAL_Kernel_cons(Compute_determinant_2,
+		 compute_determinant_2_object)
+#endif
+
+#if !defined(CGAL_CA_LIMITED_INTERFACE) || defined(CGAL_CA_COMPUTE_DETERMINANT_3)
+CGAL_Kernel_cons(Compute_determinant_3,
+		 compute_determinant_3_object)
+#endif
+
 #if !defined(CGAL_CA_LIMITED_INTERFACE) || \
      defined(CGAL_CA_COMPUTE_SCALAR_PRODUCT_2)
 CGAL_Kernel_cons(Compute_scalar_product_2,