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Refactor and document operators and periods in sage module #21

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julian merged 2 commits from cleaning-up into master 2026-10-31 22:22:44 +01:00
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README.md
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@@ -84,11 +84,11 @@ Note that for Calabi–Yau dimensions larger than four, the additional
## Operators and periods ## Operators and periods
`operators.sage` and `period.sage` provide classes for working with Picard–Fuchs operators and their `operators.sage` and `periods.sage` provide classes for working with Picard–Fuchs operators and their
period solutions: `PFOperator`, `PFIdeal` and `Period`, together with Ansatz variants of the first and period solutions: `PFOperator`, `PFIdeal` and `Period`, together with Ansatz variants of the first and
last (`PFOperatorAnsatz`, `PeriodAnsatz`) used to search for unknown operators or periods of a given last (`PFOperatorAnsatz`, `PeriodAnsatz`) used to search for unknown operators or periods of a given
z- and theta-degree. The operator classes live in `operators.sage`, the period classes in `period.sage`; z- and theta-degree. The operator classes live in `operators.sage`, the period classes in `periods.sage`;
since the two depend on each other, load `period.sage`, which also loads `operators.sage`. since the two depend on each other, load `periods.sage`, which also loads `operators.sage`.
A `PFOperator` is parsed from a string in the variables `z0, ..., z<n-1>` and `theta0, ..., theta<n-1>`, A `PFOperator` is parsed from a string in the variables `z0, ..., z<n-1>` and `theta0, ..., theta<n-1>`,
the logarithmic derivatives theta_i = z_i d/dz_i. For example, the quintic's Picard&ndash;Fuchs operator: the logarithmic derivatives theta_i = z_i d/dz_i. For example, the quintic's Picard&ndash;Fuchs operator:
tests/test_period_computation.py
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from sage.all import * # noqa: F401 from sage.all import * # noqa: F401
load(os.path.join(os.path.dirname(__file__), "..", "sage", "period.sage")) load(os.path.join(os.path.dirname(__file__), "..", "sage", "periods.sage"))
def test_find_power_series_solution_recovers_quintic_period(): def test_find_power_series_solution_recovers_quintic_period():