4 files changed, 9 insertions, 7 deletions
diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h
index 5ab23720..41e5e16d 100644
--- a/src/Alpha_complex/doc/Intro_alpha_complex.h
+++ b/src/Alpha_complex/doc/Intro_alpha_complex.h
@@ -107,6 +107,7 @@ Table of Contents
  * \subsection filtrationcomputation Filtration value computation algorithm
  * <br>
  * \f$
+ * \begin{array}{l}
  * \textbf{for } \text{i : dimension } \rightarrow 0 \textbf{ do}\\
  * \quad \textbf{for all } \sigma \text{ of dimension i}\\
  * \quad\quad \textbf{if } \text{filtration(} \sigma ) \text{ is NaN} \textbf{ then}\\
@@ -127,6 +128,7 @@ Table of Contents
  * \textbf{end for}\\
  * \text{make_filtration_non_decreasing()}\\
  * \text{prune_above_filtration()}\\
+ * \end{array}
  * \f$
  *
  * \subsubsection dimension2 Dimension 2
@@ -164,11 +166,11 @@ Table of Contents
  * <b>Requires:</b> \ref eigen &ge; 3.1.0 and \ref cgal &ge; 5.1.0.
  * 
  * A weighted version for Alpha complex is available (cf. Alpha_complex). It is like a usual Alpha complex, but based
- * on a <a href="https://doc.cgal.org/latest/Triangulation/index.html#title20">CGAL regular triangulation</a> instead
+ * on a <a href="https://doc.cgal.org/latest/Triangulation/index.html#TriangulationSecRT">CGAL regular triangulation</a> instead
  * of Delaunay.
  *
  * This example builds the CGAL weighted alpha shapes from a small molecule, and initializes the alpha complex with
- * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title13">CGAL 3d
+ * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#AlphaShape_3DExampleforWeightedAlphaShapes">CGAL 3d
  * weighted alpha shapes</a>.
  *
  * Then, it is asked to display information about the alpha complex.
@@ -212,7 +214,7 @@ Table of Contents
  * Gudhi::alpha_complex::complexity::EXACT.
  *
  * This example builds the CGAL 3d weighted alpha shapes from a small molecule, and initializes the alpha complex with
- * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title13">CGAL 3d
+ * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#AlphaShape_3DExampleforWeightedAlphaShapes">CGAL 3d
  * weighted alpha shapes</a>.
  *
  * Then, it is asked to display information about the alpha complex.
diff --git a/src/Alpha_complex/include/gudhi/Alpha_complex.h b/src/Alpha_complex/include/gudhi/Alpha_complex.h
index 028ec9bb..b1a9407b 100644
--- a/src/Alpha_complex/include/gudhi/Alpha_complex.h
+++ b/src/Alpha_complex/include/gudhi/Alpha_complex.h
@@ -69,7 +69,7 @@ template<typename D> struct Is_Epeck_D<CGAL::Epeck_d<D>> { static const bool val
  * \ingroup alpha_complex
  * 
  * \details
- * The data structure is constructing a CGAL Delaunay triangulation (for more informations on CGAL Delaunay 
+ * The data structure is constructing a CGAL Delaunay triangulation (for more information on CGAL Delaunay 
  * triangulation, please refer to the corresponding chapter in page http://doc.cgal.org/latest/Triangulation/) from a
  * range of points or from an OFF file (cf. Points_off_reader).
  * 
diff --git a/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h b/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h
index b3dbc9bb..562ef139 100644
--- a/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h
+++ b/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h
@@ -98,7 +98,7 @@ struct Value_from_iterator<complexity::EXACT> {
  * \tparam Periodic Boolean used to set/unset the periodic version of Alpha_complex_3d. Default value is false.
  *
  * For the weighted version, weights values are explained on CGAL
- * <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title0">Alpha shapes 3d</a> and
+ * <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#Alpha_shapes_3Definitions">Alpha shapes 3d</a> and
  * <a href="https://doc.cgal.org/latest/Triangulation_3/index.html#Triangulation3secclassRegulartriangulation">Regular
  * triangulation</a> documentation.
  *
diff --git a/src/Alpha_complex/utilities/alphacomplex.md b/src/Alpha_complex/utilities/alphacomplex.md
index 0d3c6027..1e3b8fab 100644
--- a/src/Alpha_complex/utilities/alphacomplex.md
+++ b/src/Alpha_complex/utilities/alphacomplex.md
@@ -64,7 +64,7 @@ N.B.:
 * Weights values are explained on CGAL
 [dD Triangulations](https://doc.cgal.org/latest/Triangulation/index.html)
 and
-[Regular triangulation](https://doc.cgal.org/latest/Triangulation/index.html#title20) documentation.
+[Regular triangulation](https://doc.cgal.org/latest/Triangulation/index.html#TriangulationSecRT) documentation.
 
 
 ## alpha_complex_3d_persistence ##
@@ -131,6 +131,6 @@ N.B.:
 * `alpha_complex_3d_persistence` only accepts OFF files in dimension 3.
 * Filtration values are alpha square values.
 * Weights values are explained on CGAL
-[Alpha shape](https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title0)
+[Alpha shape](https://doc.cgal.org/latest/Alpha_shapes_3/index.html#Alpha_shapes_3Definitions)
 and
 [Regular triangulation](https://doc.cgal.org/latest/Triangulation_3/index.html#Triangulation3secclassRegulartriangulation) documentation.