Boundary-component conjecture for the extended gradient zero locus
Boundary-component conjecture for the extended gradient zero locus
Let be the perfect-cone compactification with level structure, let be the extension of the section to this compactification, and let denote its zero locus. The boundary is the complement of the open moduli space .
Boundary-component conjecture. The locus
has no irreducible components contained in the boundary.
This conjecture would ensure that the zero locus of the extended sections has no extraneous components created entirely at the boundary, so that it reflects the closure of . The source gives no resolution status.
Sources & referencesView supporting material
Primary source
Samuel Grushevsky and Klaus Hulek, “Geometry of theta divisors — a survey”, arXiv:1204.2734 (2013).
Progress summary
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