In Jainism, there isn’t a separate doctrinal category called “asexuality.” The tradition focuses on self-control of passion and the purification of karma, with a strong emphasis on right conduct (yamas), restraint of senses, and spiritual progress.

Key points relevant to asexuality in Jain thought:

• For monks and nuns (ascetics), celibacy (brahmacharya) is an essential vow. Complete, lifelong renunciation of sexual activity is part of the path to liberation.
• For layhouseholders, sexual conduct is allowed within marriage and should be guided by non-violence, truth, and mutual consent, with an emphasis on moderation and controlling desires as part of spiritual progress.
• Sexual desire is seen as a possible source of karmic bondage. Thus, Jain practice encourages managing and transcending sensual impulses to reduce karmic burden.
• Jain texts and traditions discuss discipline of the senses and ethical conduct rather than labeling people by sexual orientation. The aim is to cultivate inner purity and detachment from attachment to sensual pleasures.

Differences between Digambara and Śvētāmbara traditions mainly concern monastic rules and certain vows; both share the overarching goal of reducing karmic bondage through restraint and meditation, including celibacy for those who renounce worldly life.

If you’d like, I can point you to specific Jain traditions or scriptures that discuss Brahmacharya and lay conduct in more detail.