How to deal with Singleton along with Serialization

Consider I have a Singleton class defined as follows.

public class MySingleton implements Serializable{
 private static MySingleton myInstance;

 private MySingleton(){

 }
  static{
    myInstance =new MySingleton();
 }
 public static MySingleton getInstance(){
    return MySingleton.myInstance;
 }
}

The above definition according to me satisfies the requirements of a Singleton.The only additional behaviour added is that the class implements serializable interface.

If another class X get the instance of the single and writes it to a file and at a later point deserializes it to obtain another instance we would have two instances which is against the Singleton principle.

How can I avoid this or am I wrong in above definition itself.