dbar-solvability: the dbar-equation on Riemann surfaces (namespace RS) #
API summary (see docs/design/dbar-solvability.md). Zero sorries throughout.
- Planar core (mathlib-only):
wirtingerD/wirtingerDbar+ the CR bridge (Wirtinger.lean);cauchyKernel/cauchyTransformand Forster 13.1 (exists_dbar_solution_of_hasCompactSupport,CauchyKernel.lean); Forster 13.2 on disks (exists_dbar_solution_ball,SolveDisk.lean); finite smooth partitions of unity (exists_smooth_partition_of_finite_cover,PlanarPoU.lean); the planar Cousin atoms (exists_smooth_splitting/exists_holo_splitting_ball,PlanarCousin.lean). - Surface layer:
Form01 X(chart-coefficient(0,1)-forms,Form01.lean);SmoothC X, the intrinsicdbar : SmoothC X →ₗ[ℂ] Form01 X,IsDbarAt/IsDbarOn,contMDiffOn_omega_of_isDbarOn_zero,contMDiffOn_omega_sub_of_isDbarOn, and chart-disk solvabilityexists_dbar_solution_chart_ball(Operator.lean). - Disk acyclicity (
DiskAcyclic.lean):subsingleton_h1Cover_zero_of_isChartDisk, theD = 0case of ČechH¹vanishing on chart-disk covers — the general-divisor twist is NOT included (see the file's docstring and the build log for the honest scope note).