estate

N. everything you own; all of your assets (whether real property or personal property)

All the property, real and personal, owned by a person at the time of his/her death.

You are not obliged to leave any assets to your children but if you do not, they may be able to make a claim on the basis that you have not fulfilled your obligations towards them. Apart from that, you may dispose of your estate in whatever way you like.

Get advice from the Notaires of France here.