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

30. abel theorem

30.1.	Keystones
30.2.	Builds on
30.3.	Abel
30.4.	Abel.AbelDbarKill
30.5.	Abel.AbelEngineMeromorphic
30.6.	Abel.AbelEngineSigma
30.7.	Abel.AbelFinal
30.8.	Abel.AbelFormRead
30.9.	Abel.AbelLogDbar
30.10.	Abel.AbelPairing
30.11.	Abel.AbelPairingPositivity
30.12.	Abel.AbelPairingStokes

30.2. Builds on

Source Code
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←30.1. Keystones 30.3. Abel→

30.2. Builds on🔗

abel weak solutions
cech h1 genus
dolbeault comparison
form trace tower
residue theorem

←30.1. Keystones 30.3. Abel→