Hodge Conjecture
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Conjecture
It is conjectured that:
- For projective algebraic varieties, Hodge cycles are rational linear combinations of algebraic cycles.
Progress
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Source of Name
This entry was named for William Vallance Douglas Hodge.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Millennium Prize problems
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Millennium Prize problems
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $18$: Millennium Prize problems: $2$.
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Appendix $23$: Millennium Prize problems: $2$.