Enumerative geometry

branch of algebraic geometry concerned with counting solutions

In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by means of intersection theory.

Quotes

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  • Enumerative geometry is an old subject that has been revisited extensively over the past 150 years. Enumerative geometry was an active field in the 19th century. … Unfortunately, many fundamental enumerative problems eluded the best mathematicians for most of the 20th century. Progress came from a seemingly unlikely source: string theory in physics.
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