Bigamy is the act of marrying one person while being legally married to another. Polygamy is the practice or custom (often religious) of having more than one wife or husband at a time. Most states prohibit a party from having more than one marriage license at a time, and in most states bigamy is a crime.
In Delaware, as in most states, bigamy is illegal. Under Delaware law, specifically Title 11, Section 1001 of the Delaware Code, a person is guilty of bigamy when they intentionally contract or purport to contract a marriage with another person when they have a living spouse, or the other person has a living spouse. Bigamy in Delaware is classified as a class G felony, which can result in serious legal consequences, including imprisonment. Polygamy, which involves having more than one spouse simultaneously, is also not legally recognized in Delaware and falls under the prohibition against bigamy. Therefore, any marriage license obtained while already legally married to another person would be invalid under Delaware law.