OpenAI reports Lech’s multiplicity conjecture
- Mathematics
Under every flat local homomorphism of nonzero Noetherian local rings, Hilbert–Samuel multiplicity of the source does not exceed that of the target.
OpenAI reports Lech’s multiplicity conjecture
- Mathematics
Under every flat local homomorphism of nonzero Noetherian local rings, Hilbert–Samuel multiplicity of the source does not exceed that of the target.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
Under every flat local homomorphism of nonzero Noetherian local rings, Hilbert–Samuel multiplicity of the source does not exceed that of the target.
Why it matters
If correct, resolves Lech’s multiplicity conjecture in arbitrary dimension and characteristic.
What counts as progress
Can Hilbert–Samuel multiplicity decrease under a flat local map?
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