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Böhm, J.; Decker, W.; Laplagne, S.; Pfister, G. "Local to global algorithms for the gorenstein adjoint ideal of a curve" (2018) Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory:51-96
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Abstract:

We present new algorithms for computing adjoint ideals of curves and thus, in the planar case, adjoint curves. With regard to terminology, we follow Gorenstein who states the adjoint condition in terms of conductors. Our main algorithmyields the Gorenstein adjoint ideal ℘ of a given curve as the intersection of what we call local Gorenstein adjoint ideals. Since the respective local computations do not depend on each other, our approach is inherently parallel. Over the rationals, further parallelization is achieved by a modular version of the algorithm which first computes a number of the characteristic p counterparts of ℘ and then lifts these to characteristic zero. As a key ingredient, we establish an efficient criterion to verify the correctness of the lift.Well-known applications are the computation of Riemann- Roch spaces, the construction of points in moduli spaces, and the parametrization of rational curves. We have implemented different variants of our algorithms together with Mnuk’s approach in the computer algebra system SINGULAR and give timings to compare the performance. © Springer International Publishing AG, part of Springer Nature 2017.

Registro:

Documento: Parte de libro
Título:Local to global algorithms for the gorenstein adjoint ideal of a curve
Autor:Böhm, J.; Decker, W.; Laplagne, S.; Pfister, G.
Filiación:Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, Kaiserslautern, 67653, Germany
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Pabellón I, Buenos Aires, Argentina
Palabras clave:Adjoint ideals; Algebraic curves; Singularities
Año:2018
Página de inicio:51
Página de fin:96
DOI: http://dx.doi.org/10.1007/978-3-319-70566-8_3
Título revista:Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
Título revista abreviado:Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97833197_v_n_p51_Bohm

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Citas:

---------- APA ----------
Böhm, J., Decker, W., Laplagne, S. & Pfister, G. (2018) . Local to global algorithms for the gorenstein adjoint ideal of a curve. Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 51-96.
http://dx.doi.org/10.1007/978-3-319-70566-8_3
---------- CHICAGO ----------
Böhm, J., Decker, W., Laplagne, S., Pfister, G. "Local to global algorithms for the gorenstein adjoint ideal of a curve" . Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (2018) : 51-96.
http://dx.doi.org/10.1007/978-3-319-70566-8_3
---------- MLA ----------
Böhm, J., Decker, W., Laplagne, S., Pfister, G. "Local to global algorithms for the gorenstein adjoint ideal of a curve" . Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 2018, pp. 51-96.
http://dx.doi.org/10.1007/978-3-319-70566-8_3
---------- VANCOUVER ----------
Böhm, J., Decker, W., Laplagne, S., Pfister, G. Local to global algorithms for the gorenstein adjoint ideal of a curve. Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. 2018:51-96.
http://dx.doi.org/10.1007/978-3-319-70566-8_3