Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Böhm, Janko"'
We give illustrative examples of how the computer algebra system OSCAR can support research in commutative algebra and algebraic geometry. We start with a thorough introduction to Groebner basis techniques, with particular emphasis on the computation
Externí odkaz:
http://arxiv.org/abs/2404.12085
Our recent extension of Arnold's classification includes all singularities of corank up to two equivalent to a germ with a non-degenerate Newton boundary, thus broadening the classification's scope significantly by a class which is unbounded with res
Externí odkaz:
http://arxiv.org/abs/2402.05093
Computations over the rational numbers often encounter the problem of intermediate coefficient growth. A solution to this is provided by modular methods, which apply the algorithm under consideration modulo a number of primes and then lift the result
Externí odkaz:
http://arxiv.org/abs/2401.11606
We present an 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
Externí odkaz:
http://arxiv.org/abs/2311.11381
In this work, we present the package {\sc NeatIBP}, which automatically generates small-size integration-by-parts (IBP) identities for Feynman integrals. Based on the syzygy and module intersection techniques, the generated IBP identities' propagator
Externí odkaz:
http://arxiv.org/abs/2305.08783
We uncover a connection between two seemingly separate subjects in integrable models: the representation theory of the affine Temperley-Lieb algebra, and the algebraic structure of solutions to the Bethe equations of the XXZ spin chain. We study the
Externí odkaz:
http://arxiv.org/abs/2202.02986
Autor:
Bendle, Dominik, Boehm, Janko, Heymann, Murray, Ma, Rourou, Rahn, Mirko, Ristau, Lukas, Wittmann, Marcel, Wu, Zihao, Zhang, Yang
Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to large sets of complicated rational functions, performance of the partial
Externí odkaz:
http://arxiv.org/abs/2104.06866
Publikováno v:
In Computer Physics Communications February 2024 295
Autor:
Bendle, Dominik, Boehm, Janko, Heymann, Murray, Ma, Rourou, Rahn, Mirko, Ristau, Lukas, Wittmann, Marcel, Wu, Zihao, Xu, Hefeng, Zhang, Yang
Publikováno v:
In Computer Physics Communications January 2024 294