Kumāraśikhara means “the peak of Kumāra”. It is the summit of Mount Meru, the golden mountain at the centre of Jambūdvīpa. It is the eternal home of Kumārasvāmi (Skanda), the divine Senāpati (commander of the devas) and son of Parameśvara Śiva.

The Kailāsa Saṃhitā of the Śiva Purāṇa tells that Vāmadeva Maharshi came here on pilgrimage. He found Kumārasvāmi seated with his two śaktis, Gajavalī and Suyaśā. There Kumārasvāmi gave him the full teaching of sannyāsa-dharma (the duties of renunciation), the theology of the Pañcabrahma, Śivādvaita, and the eight mahāvākyas (great sayings).

The peak on Meru

Kailāsa is Parameśvara’s own peak and home. Kumāraśikhara is Skanda’s own peak, a summit of Meru that is his eternal domain. The Kailāsa Saṃhitā says that Kumāraśikhara, as the home of Kumārasvāmi, is the most elevated spot on Meru. It says that Meru itself is raised above all mountains because Skanda is always present there. The stotra verses spoken through Vāmadeva praise Kumāraśikhara as the place that gives Meru its great glory among all mountains.

The assembly when Vāmadeva arrives

When Vāmadeva reached Kumāraśikhara, the assembly there included:

Kumārasvāmi in his full divine form, six-faced, twelve-armed, and riding the peacock.
His two śaktis, Gajavalī and Suyaśā.
A retinue of gaṇas, celestial beings and siddhas.

The Kailāsa Saṃhitā tells this in Chapter 11.

Sūta’s pilgrimage to Kumāraśikhara

The road that leads to Kumāraśikhara is part of the account. Sūta Romaharshaṇa first gave the opening nine chapters of the Kailāsa teaching at Kāśī. Then he set out on a tīrtha-yātrā (pilgrimage). His stops were:

Kanyākumārī, the tīrtha of the Devī at the southern tip of Bhārata.
Śrīkāḷahasti, the Vāyu-liṅga kshetra on the Svarṇamukhī river.
Kumāraśikhara on Meru, where he saw Vāmadeva arrive and heard the teaching between Vāmadeva and Kumārasvāmi.

The Kailāsa Saṃhitā tells this in Chapter 10.

Sources

Śiva Purāṇa, Kailāsa Saṃhitā, Chapters 10–11