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・ Hilbert spectral analysis
・ Hilbert spectroscopy
・ Hilbert spectrum
・ Hilbert symbol
・ Hilbert system
・ Hilbert transform
・ Hilbert van der Duim
・ Hilbert Van Dijk
・ Hilbert Wildlife Management Area
・ Hilbert's arithmetic of ends
・ Hilbert's axioms
・ Hilbert's basis theorem
・ Hilbert's eighteenth problem
・ Hilbert's eighth problem
・ Hilbert's eleventh problem
Hilbert's fifteenth problem
・ Hilbert's fifth problem
・ Hilbert's fourteenth problem
・ Hilbert's fourth problem
・ Hilbert's inequality
・ Hilbert's irreducibility theorem
・ Hilbert's lemma
・ Hilbert's nineteenth problem
・ Hilbert's ninth problem
・ Hilbert's Nullstellensatz
・ Hilbert's paradox of the Grand Hotel
・ Hilbert's problems
・ Hilbert's program
・ Hilbert's second problem
・ Hilbert's seventeenth problem


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Hilbert's fifteenth problem : ウィキペディア英語版
Hilbert's fifteenth problem
Hilbert's fifteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. The problem is to put Schubert's enumerative calculus on a rigorous foundation.
==Introduction==
Splitting the question, as now it would be understood, into Schubert calculus and enumerative geometry, the former is well-founded on the basis of the topology of Grassmannians, and intersection theory. The latter has status that is less clear, if clarified with respect to the position in 1900.
While enumerative geometry made no connection with physics during the first century of its development, it has since emerged as a central element of string theory.

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