{ "id": "2306.06660", "version": "v1", "published": "2023-06-11T12:18:36.000Z", "updated": "2023-06-11T12:18:36.000Z", "title": "A Sage package for calculation of elliptic genera of homogeneous spaces and their complete intersections", "authors": [ "Kenta Kobayashi" ], "comment": "17 pages, 3 tables", "categories": [ "math.AG" ], "abstract": "We present a SageMath package for calculating elliptic genera of homogeneous spaces and their complete intersections. This includes the calculation of the basis of weak Jacobi forms, Chern numbers of homogeneous spaces and their complete intersections, and their elliptic genera. In this paper, we show how to use this package with concrete examples.", "revisions": [ { "version": "v1", "updated": "2023-06-11T12:18:36.000Z" } ], "analyses": { "subjects": [ "14F45", "97N80" ], "keywords": [ "complete intersections", "homogeneous spaces", "sage package", "calculation", "weak jacobi forms" ], "tags": [ "research tool" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }