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admcycles

swMATH ID: 36730
Software Authors:
Description: admcycles - a Sage package for calculations in the tautological ring of the moduli space of stable curves. The tautological ring of the moduli space of stable curves has been studied extensively in the last decades. We present a SageMath implementation of many core features of this ring. This includes lists of generators and their products, intersection numbers and verification of tautological relations. Maps between tautological rings induced by functoriality, that is pushforwards and pullbacks under gluing and forgetful maps, are implemented. Furthermore, many interesting cycle classes, such as the double ramification cycles, strata of k-differentials and hyperelliptic or bielliptic cycles are available. In this paper we show how to apply the package, including concrete example computations.
Homepage: https://www.math.uni-bonn.de/people/schmitt/admcycles
Source Code:  https://gitlab.com/jo314schmitt/admcycles
Dependencies: SageMath
Keywords: Algebraic Geometry; arXiv_math.AG; Sage package; tautological ring; moduli space; stable curves; SageMath
Related Software: SageMath; diffstrata; GitHub; mgn; CoCalc; MathOverflow; Macaulay2; HyperInt; KoszulDivisorOnPic14M8; GAP; LMFDB; SINGULAR; SageMathCell
Cited in: 24 Documents

Standard Articles

2 Publications describing the Software, including 1 Publication in zbMATH Year
admcycles – a Sage package for calculations in the tautological ring of the moduli space of stable curves. Zbl 1485.14046
Delecroix, Vincent; Schmitt, Johannes; van Zelm, Jason
2021
admcycles - a Sage package for calculations in the tautological ring of the moduli space of stable curves arXiv
Vincent Delecroix, Johannes Schmitt, Jason van Zelm
2020

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