java.lang.ClassFormatError: Absent Code attribute in method that is not native or abstract in class file javax/mail/MessagingException

It did not work because classes from javax/javaee-api/provided dependency are specially constructed. They are not usable runtime because implementation of methods is missing.

Simply adding classes from javax.mail/mail/1.4.5 dependency to the classpath does not help, because classes from javax/javaee-api/provided are already there. Having javax.mail/mail/1.4.5 dependecy alone solves your problem, but most likely you also need other classes from javax/javaee-api/provided.

What you can do is to get rid of javax/javaee-api/provided dependency and get these classes for example from the dependencies provided by target application server. You can use for example following:

   <dependency>
        <groupId>org.jboss.spec</groupId>
        <artifactId>jboss-javaee-6.0</artifactId>
        <version>1.0.0.Final</version>
        <type>pom</type>
        <scope>provided</scope>
     </dependency>

Because scope is provided, it does not affect the artifact to be built. That's why you can use this one also with other application servers than JBoss. It is same API as in your original dependency, but it contains normal classes.

Weird but the following order works for me,

    <dependency>
        <groupId>javax.mail</groupId>
        <artifactId>mail</artifactId>
        <version>1.4</version>
    </dependency>

    <dependency>
        <groupId>javax</groupId>
        <artifactId>javaee-web-api</artifactId>
        <version>6.0</version>
        <scope>provided</scope>
    </dependency>

The reverse won't work.

in my case, only use the library:

<dependency>
    <groupId>javax.mail</groupId>
    <artifactId>mail</artifactId>
    <version>1.4</version>
</dependency>

Run with JDK 6 and Tomcat without problems