Hibernate - H2 database is not created

I want to use Hibernate with H2 and I want the schema to be created automatically. There are many examples online and my configurations seem fine, but it is not created. Previously I used it with MySQL and did not have any problem. Are there additional parameters to be included in anywhere for H2?

My persistence unit is defined in persistence.xml as follows:

<persistence-unit name="some.jpa.name"
    transaction-type="RESOURCE_LOCAL">

    <provider>org.hibernate.jpa.HibernatePersistenceProvider</provider>
    <!-- tried with and without class property
    <class>some.package.KeywordTask</class>     
    -->
    <properties>
        <property name="javax.persistence.jdbc.driver" value="org.h2.Driver" />
        <property name="javax.persistence.jdbc.url" value="jdbc:h2:./test" />
        <property name="javax.persistence.jdbc.user" value="" />
        <property name="javax.persistence.jdbc.password" value="" />
        <property name="hibernate.dialect" value="org.hibernate.dialect.H2Dialect" />
        <property name="hibernate.hbm2ddl.auto" value="create" />
        <property name="show_sql" value="true" />
    </properties>

</persistence-unit>

Since show_sql is set to true, I expect to see create statements but nothing happens, i.e. the schema is not created.

I keep my EntityManagerFactory as a final static variable:

public static EntityManagerFactory emf = Persistence.createEntityManagerFactory("some.jpa.name");

In some place in my code, I am trying to persist an entity:

EntityManager em = emf.createEntityManager();
em.getTransaction().begin();
KeywordTask task = new KeywordTask();
task.setKeyword(keywordTask.getKey());
task.setLimit(keywordTask.getValue());
em.persist(task);
em.getTransaction().commit();
em.close();

This throws exception with cause:

org.h2.jdbc.JdbcSQLException: Table "KEYWORDTASK" not found;

which is expected since the schema is not created.

How can I get the schema created?