peak vs convexity

peak and convexity both are nouns.

Word	Noun	Adjective	Verb	Adverb
peak	Yes	No	Yes	No
convexity	Yes	No	No	No

As nouns, convexity is a hypernym of peak; that is, convexity is a word with a broader meaning than peak:

Other hypernyms of peak include convex shape.

peak (noun)	convexity (noun)
a brim that projects to the front to shade the eyes	the property possessed by a convex shape
the top or extreme point of something (usually a mountain or hill)	a shape that curves or bulges outward
the highest point (of something)
the most extreme possible amount or value
a V shape
the highest level or degree attainable; the highest stage of development
the period of greatest prosperity or productivity

peak (verb)	convexity (verb)
to reach the highest point; attain maximum intensity, activity