Credits

Software used in the OSCAR project

Mathematical software

The OSCAR project is based on the following mathematical software:

Technical software

The following software is used as technical components in the OSCAR project:

Citations of OSCAR and its components

Computing the center of a fusion category Fabian Mäurer, Ulrich Thiel - Preprint, June 2024,
Invariant Grassmannians and a K3 surface with an action of order 192*2 Stevell Muller - Preprint, Apr. 2024,
An arithmetic count of osculating lines Giosuè Muratore - Preprint, Dec. 2023,
Finite groups of symplectic birational transformations of IHS manifolds of OG10 type Lisa Marquand, Stevell Muller - Preprint, Oct. 2023,
Algebraic and geometric computations in OSCAR Mara Belotti, Michael Joswig, Chiara Meroni, Victoria Schleis, Johannes Schmitt - SIAM, Vol. 56 Sept. 2023,
Computations of Gromov-Witten invariants of toric varieties Giosuè Muratore - Preprint, Sept. 2023,
On $\mathbb{Q}$-factorial terminalizations of symplectic linear quotient singularities Johannes Schmitt - PhD Thesis, July 2023, 10.26204/KLUEDO/7351
Some thoughts and experiments on Bergman's compact amalgamation problem Michael Joswig, Mario Kummer, Andreas Thom, Claudia He Yun - Preprint, Apr. 2023,
Toric Geometry in OSCAR Martin Bies, Lars Kastner - Preprint, Mar. 2023,
Brill-Noether-general limit root bundles: Absence of vector-like exotics in F-theory Standard Models Martin Bies, Mirjam Cvetič, Ron Donagi, Marielle Ong - Journal of High Energy Physics, Vol. 11 2022, 10.1007/JHEP11(2022)004
Computing Galois Groups of Ehrhart Polynomials in OSCAR Claus Fieker, Tommy Hofmann, Michael Joswig - Séminaire Lotharingien de Combinatoire, 86B 2022,
Classification of Symplectic Birational Involutions of Manifolds of OG10 type Lisa Marquand, Stevell Muller - Preprint, June 2022,
Introduction to Toric Geometry Simon Telen - Preprint, Mar. 2022,
Exact semidefinite programming bounds for packing problems Maria Dostert, David de Laat, Philippe Moustrou - Preprint, Jan. 2020,