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

26. proper map degree

26.1.	Keystones
26.2.	Builds on
26.3.	ProperDegree
26.4.	ProperDegree.DegDivResidue
26.5.	ProperDegree.Degree
26.6.	ProperDegree.DegreeOneSphere
26.7.	ProperDegree.LinearSystemDegree
26.8.	ProperDegree.MultiplicityPatching
26.9.	ProperDegree.MultiplicityPatchingConstruct
26.10.	ProperDegree.ProperMapDegree
26.11.	ProperDegree.ProperMapDegreeConstruct
26.12.	ProperDegree.ProperMapDegreeSheets
26.13.	ProperDegree.ToSphereGeneral

26.1. Keystones

Source Code
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←26. proper map degree 26.2. Builds on→

26.1. Keystones🔗

ContMDiff.degree
exists_properMapDegree
DegDivResidue (deg∘div = 0)
DegreeOneSphere

←26. proper map degree 26.2. Builds on→