How do I override the GenerationType strategy using Hibernate/JPA annotations?

I'm considering using Annotations to define my Hibernate mappings but have run into a problem: I want to use a base entity class to define common fields (including the ID field) but I want different tables to have different ID generation strategies:

@MappedSuperclass
public abstract class Base implements Serializable {
    @Id
    @Column(name="ID", nullable = false)
    private Integer id;
    public Integer getId(){return id;}
    public void setId(Integer id){this.id = id;}
    ...
}

@Entity
@Table(name="TABLE_A")
public class TableA extends Base {
    // Table_A wants to set an application-defined value for ID
    ...
}

@Entity
@Table(name="TABLE_B")
public class TableB extends Base {
    // How do I specify @GeneratedValue(strategy = AUTO) for ID here?
    ...
}

Is there some way to do this? I've tried including the following into TableB but hibernate objected to my having the same column twice and it seems wrong:

@Override // So that we can set Generated strategy
@Id
@GeneratedValue(strategy = AUTO)
public Integer getId() {
    return super.getId();
}