come under

verb3

1. •
   To come underneath (something).

   • Why don't you come under my umbrella? There's plenty of room.
2. •
   To be subjected to, be under the auspices of.

   • Eventually I was promoted, and a small team of recruits came under my authority.
3. •
   To be included or classified under (a title, specified class etc.).

   • To sympathisers, though, all of his crimes came under the general heading of misdemeanors.