作者:
Traore, AliRPTU
Fachbereich Math D-67653 Kaiserslautern Germany
We present a parallel enhanced algorithm for exploring mirror symmetry for elliptic curves through the correspondence of algebraic and tropical geometry, focusing on Gromov-Witten invariants of elliptic curves and, in...
详细信息
ISBN:
(纸本)9783031645280;9783031645297
We present a parallel enhanced algorithm for exploring mirror symmetry for elliptic curves through the correspondence of algebraic and tropical geometry, focusing on Gromov-Witten invariants of elliptic curves and, in particular, Hurwitz numbers. We present a new highly efficient algorithm for computing generating series for these numbers. A sequential version of the algorithm has been implemented using Singular and OSCAR. The implementations in [1] outperform by far the previous methods [3] provided in Singular. In this note, we describe work towards the natural next step, which is parallelization. We have integrated our algorithm with GPI-Space, a workflow management system for high-performance computing developed at Fraunhofer ITWM. This allows us to run our algorithm simultaneously on a large number of cores. This facilitates computation of quasi-modular representations of the respective generating series.
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