Full list of taxonomy arguments and example of registering them

taxonomy-register.php

<?php
$taxonomies = array(
  'taxonomy-slug' => array(
		'labels' => array(
			'name' => __('Genres', 'textdomain'),
			'singular_name' => __('Genre', 'taxonomy singular name', 'textdomain'),
			'menu_name' => __('Genre', 'textdomain'),
			'all_items' => __('All Genres', 'textdomain'),
			'edit_item' => __('Edit Genre', 'textdomain'),
			'view_item' => __('View Genre', 'textdomain'),
			'update_item' => __('Update Genre', 'textdomain'),
			'add_new_item' => __('Add New Genre', 'textdomain'),
			'new_item_name' => __('New Genre Name', 'textdomain'),
			'parent_item' => __('Parent Genre', 'textdomain'),
			'parent_item_colon' => __('Parent Genre:', 'textdomain'),
			'search_items' => __('Search Genres', 'textdomain'),
			'popular_items' => __('Popular Genres', 'textdomain'),
			'separate_items_with_commas' => __('Separate genres with commas', 'textdomain'),
			'add_or_remove_items' => __('Add or remove genres', 'textdomain'),
			'choose_from_most_used' => __('Choose from the most used genres', 'textdomain'),
			'not_found' => __('No genres found', 'textdomain'),
		),
		'public' => true,
		'show_ui' => true, // Defaults to public
		'show_in_nav_menus' => true, // Defaults to public
		'show_tagcloud' => true, // Defaults to public
		'show_admin_column' => true, // Defaults to public
		'hierarchical' => true,
		'update_count_callback' => '',
		'query_var' => 'taxonomy-slug',
		'rewrite' => array(
			'slug' => 'taxonomy-slug',
			'with_front' => true,
			'hierarchical' => true, // show hierarchical urls,
			'ep_mask' => EP_NONE
		),
		'capabilities' => array(
			'manage_terms' => 'manage_categories',
			'edit_terms' => 'manage_categories',
			'delete_terms' => 'manage_categories',
			'assign_terms' => 'edit_posts',
		),
		'sort' => false, // Remember order in which terms are added to the post
	),
);

foreach ($taxonomies as $slug => $args) {
	// null is object types
	register_taxonomy($slug, null, $args);
}