@article { , title = {Gorenstein Formats, Canonical and Calabi–Yau Threefolds}, abstract = {Gorenstein formats present the equations of regular canonical, Calabi–Yau and Fano varieties embedded by subcanonical divisors. We present a new algorithm for the enumeration of these formats based on orbifold Riemann-Roch and knapsack packing-type algorithms. We apply this to extend the known lists of threefolds of general type beyond the well-known classes of complete intersections and also to find classes of Calabi-Yau threefolds with canonical singularities.}, doi = {10.1080/10586458.2019.1592036}, eissn = {1944-950X}, issn = {1058-6458}, issue = {1}, journal = {Experimental Mathematics}, pages = {146-164}, publicationstatus = {Published}, publisher = {Taylor \& Francis Open}, url = {https://nottingham-repository.worktribe.com/output/1605893}, volume = {31}, keyword = {Gorenstein format, Key variety, Threefold, General type, Calabi-Yau, Fano, Canonical orbitfold}, year = {2024}, author = {Brown, Gavin and Kasprzyk, Alexander and Zhu, Lei} }