go up

1.  Be put up, as in New buildings are going up all over town.
2.  Rise; increase. For example, His temperature is going up at an alarming rate, or The costs of construction are going up all the time. [Late 1800s]
3.  Also, be gone up. Be destroyed, ruined, done for; also, die, be killed. For example, If we're not back in a week, you'll know we've gone up, or In spite of our efforts, the plans for a new library are gone up. [Slang; mid-1800s]
4.  Forget one's lines on the stage or make a mistake in performing music. For example, Don't worry, you know your part and you won't go up, or He went up in the last movement of the sonata. [Slang; 1960s] Also see the subsequent idioms beginning with go up.

The verb has 7 meanings:

Meaning #1: move upward
  Synonyms: rise, lift, arise, move up, come up, uprise

Meaning #2: increase in value or to a higher point
  Synonyms: rise, climb

Meaning #3: move towards
  Synonyms: approach, near, come on, draw near, draw close, come near

Meaning #4: be erected, built, or constructed

Meaning #5: go upward with gradual or continuous progress
  Synonyms: climb, climb up, mount

Meaning #6: burn completely; be consumed or destroyed by fire
  Synonyms: burn down, burn up

Meaning #7: travel up, "We ascended the mountain"
  Synonym: ascend