A machine-checked solution to the Jacobians challenge
A machine-checked solution to the Jacobians challenge
Table of Contents
1.
How to validate this solution
2.
Conformance: Buzzard’s spec vs. this formalization
3.
holomorphic forms
4.
local multiplicity
5.
surfaces and charts
6.
mapping degree
7.
paths and integrals
8.
residue calculus
9.
jacobian construction
10.
projective line
11.
meromorphic and divisors
12.
meromorphic trace
13.
sphere topology
14.
cech cohomology
15.
form trace tower
16.
dbar solvability
17.
dolbeault comparison
18.
planar stokes atoms
19.
finiteness and chi
20.
canonical forms
21.
laurent tails
22.
monodromy
23.
residue theorem
24.
serre duality cech
25.
abel weak solutions
26.
proper map degree
27.
serre duality tails
28.
cech h1 genus
29.
riemann roch
30.
abel theorem
31.
genus zero headline
32.
period lattice rank
19.
finiteness and chi
19.1.
Keystones
19.2.
Builds on
19.3.
Finiteness
19.4.
Finiteness.BddHol
19.5.
Finiteness.CechFiniteness
19.6.
Finiteness.CechFinitenessAbstract
19.7.
Finiteness.CechFinitenessAssembly
19.8.
Finiteness.CechFinitenessDtwist
19.9.
Finiteness.CechFinitenessWiring
19.10.
Finiteness.CechModelArtificial
19.11.
Finiteness.CechModelBase
19.12.
Finiteness.CechModelBridge
19.13.
Finiteness.CechModelDelta
19.14.
Finiteness.CechModelDifferential
19.15.
Finiteness.CechModelGeometry
19.16.
Finiteness.CechModelHolomorphic
19.17.
Finiteness.CechModelHolomorphicDelta
19.18.
Finiteness.CechModelManifold
19.19.
Finiteness.CechRefinementInjective
19.20.
Finiteness.CechRefinementLeray
19.21.
Finiteness.ChartDiskFiniteness
19.22.
Finiteness.ChartDiskFinitenessComplete
19.23.
Finiteness.ChartDiskLeray
19.24.
Finiteness.CohomologicalH0Finiteness
19.25.
Finiteness.CohomologicalRR
19.26.
Finiteness.CohomologicalRRChartDisk
19.27.
Finiteness.SchwartzFiniteness
19.28.
Finiteness.SkyscraperArrow
19.29.
Finiteness.SkyscraperAssembly
19.30.
Finiteness.SkyscraperConeRealization
19.31.
Finiteness.SkyscraperLESBase
19.32.
Finiteness.SkyscraperProductWitness
19.33.
Finiteness.SkyscraperSnake
19.2.
Builds on
Source Code
Report Issues
←
19.1. Keystones
19.3. Finiteness
→
19.2. Builds on
🔗
cech cohomology
dbar solvability
dolbeault comparison
holomorphic forms
←
19.1. Keystones
19.3. Finiteness
→