OpenAI reports an integral counterexample to Gersten’s conjecture
- Mathematics
There is a two-dimensional ramified regular local ring A of mixed characteristic (0,5) for which K₅(A)→K₅(Frac A) has a nonzero kernel.
OpenAI reports an integral counterexample to Gersten’s conjecture
- Mathematics
There is a two-dimensional ramified regular local ring A of mixed characteristic (0,5) for which K₅(A)→K₅(Frac A) has a nonzero kernel.
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Read the background
There is a two-dimensional ramified regular local ring A of mixed characteristic (0,5) for which K₅(A)→K₅(Frac A) has a nonzero kernel.
Why it matters
If correct, disproves the unrestricted integral Gersten conjecture with a ramified regular local ring.
What counts as progress
Must K-theory of every regular local ring inject into that of its fraction field?
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OpenAI reports an integral counterexample to Gersten’s conjecture