Curve is a non-custodial decentralized protocol exchange that uses an automated market maker (AMM) for liquidity. It is based on Ethereum and used for stablecoins trading. Curve's main goal is to let users to trade with low fees and slippage.
Curve DAO (CRV) is a token that is used in Curve platform to provide liquidity. Liquidity providers will receive incentives in the form of CRV when they provide liquidity to the platform. It is a governance token with time-weighted voting and value accrual mechanisms.