Bibliographic Details
| Title: |
Integral differential forms for superelliptic curves. |
| Authors: |
Kunzweiler, Sabrina1 (AUTHOR), Wewers, Stefan2 (AUTHOR) |
| Source: |
Mathematics of Computation. Sep2026, Vol. 95 Issue 361, p2559-2593. 35p. |
| Subjects: |
Differential forms, Local fields (Algebra), Algorithms, Elliptic curves, Mathematics, Algebraic geometry, Mathematical singularities, Scientific models |
| Abstract: |
Given a superelliptic curve Y_K:\; y^n=f(x) over a local field K, we describe the theoretical background and an implementation of a new algorithm for computing the \mathfrak {o}_K-lattice of integral differential forms on Y_K. We build on the results of Obus and Wewers [J. Algebraic Geom. 29 (2020), pp. 691–728] who describe arbitrary regular models of the projective line using only valuations. One novelty of our approach is that we construct an \mathfrak {o}_K-model of Y_K with only rational singularities, but which may not be regular. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
