diff --git a/normaliz-3.8.10.tar.gz b/normaliz-3.8.10.tar.gz
deleted file mode 100644
index fd78a33..0000000
--- a/normaliz-3.8.10.tar.gz
+++ /dev/null
@@ -1,3 +0,0 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:d085c64bebcb23e1c607ca1daff4551a9d38dd8f3dfbef4ef49670b58bb27f65
-size 4739222
diff --git a/normaliz-3.9.0.tar.gz b/normaliz-3.9.0.tar.gz
new file mode 100644
index 0000000..1a6b5d1
--- /dev/null
+++ b/normaliz-3.9.0.tar.gz
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f3edf11223894bae958a73a379c7de4c9beb9c53d69ed3c25e27eec2beadbe7
+size 4872526
diff --git a/normaliz.changes b/normaliz.changes
index 1bc8a3c..dd2021b 100644
--- a/normaliz.changes
+++ b/normaliz.changes
@@ -1,3 +1,13 @@
+-------------------------------------------------------------------
+Fri Jul  2 21:41:53 UTC 2021 - Jan Engelhardt <jengelh@inai.de>
+
+- Update to release 3.9.0
+  * Normaliz now uses e-antic for algebraic polyhedra.
+  * Added the Lawrence algorithm for polytope volumes by signed
+    decomposition into simplices.
+  * The descent algorithm for volumes now has a variant exploiting
+    isomorphisms of faces.
+
 -------------------------------------------------------------------
 Thu Feb 11 15:26:52 UTC 2021 - Jan Engelhardt <jengelh@inai.de>
 
diff --git a/normaliz.spec b/normaliz.spec
index 55aa41b..3006938 100644
--- a/normaliz.spec
+++ b/normaliz.spec
@@ -18,7 +18,7 @@
 
 Name:           normaliz
 %define lname	libnormaliz3
-Version:        3.8.10
+Version:        3.9.0
 Release:        0
 Summary:        Tools for computations in affine monoids and rational cones
 License:        GPL-3.0-or-later
@@ -26,6 +26,7 @@ Group:          Productivity/Scientific/Math
 URL:            https://www.normaliz.uni-osnabrueck.de/
 
 Source:         https://github.com/Normaliz/Normaliz/releases/download/v%version/%name-%version.tar.gz
+BuildRequires:  e-antic-devel >= 1.0.1
 BuildRequires:  flint-devel
 BuildRequires:  gcc-c++
 BuildRequires:  gmp-devel