According to Hindu mythology, Kalki is the tenth and final avatar (incarnation) of Lord Vishnu, predicted to appear at the end of the Kali Yuga, the current epoch of darkness and chaos. Here’s a summary of the genesis of Kalki:

• Kalki is said to be born to Sumati and Vishnuyasha, an ascetic Brahmin, in a village called Shambala (also known as Shambhala) on the 13th day of the bright fortnight (Paksha Dwadashi Tithi) in the Hindu month of Vaishakha.
• The Garuda Purana lists ten incarnations of Vishnu, with Kalki being the final one, destined to appear at the end of the Kali Yuga.
• In the Mahabharata, Kalki is described as a Brahmin warrior who will restore dharma (righteousness) and end the darkness of the Kali Yuga. He is said to be an extension of the Parashurama incarnation legend, where a Brahmin warrior destroys Kshatriyas who abuse their power.
• The Kalki Purana, a relatively recent text (likely composed in Bengal in the 18th century), provides more detailed accounts of Kalki’s life. According to this text, Kalki is born with divine powers and is taught the holy scriptures by his parents. He undergoes military training under the guidance of Parashurama and worships Shiva, who grants him a divine white horse named Devadatta (a manifestation of Garuda), a powerful sword, and a parrot named Shuka.
• Kalki’s mission is to destroy the sinners and evil forces that have proliferated during the Kali Yuga, and to re-establish dharma and moral law. He will ride Devadatta, his white horse, and wield his fiery sword to vanquish the wicked and usher in the Satya Yuga, the most virtuous age.
• The Kalki Purana also mentions that Kalki will have two wives, Padmavati and Ramaa, and four children: Jaya, Vijaya, Meghamaala, and Balaahaka.

In summary, the genesis of Kalki involves his birth as the son of Sumati and Vishnuyasha in Shambala, his divine upbringing and training, and his eventual appearance as a Brahmin warrior to restore dharma and end the Kali Yuga.