DCC conjecture for volumes of RDP orbifold pairs
DCC conjecture for volumes of RDP orbifold pairs
Let be an orbifold pair on a rational double point, with boundary
DCC conjecture. The set of volumes of these orbifold pairs satisfies the descending chain condition, and its minimum nonzero value is
This is the proposed restriction to Gorenstein log terminal surface singularities after examples show that volumes of general Gorenstein orbifold pairs can form a strictly decreasing sequence. The supplied context does not state whether the claim has been proved or disproved.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Jonathan Wahl, “The Volume of a Surface or Orbifold Pair”, arXiv:2312.14271 (2026).
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.