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Gorenstein Formats, Canonical and Calabi–Yau Threefolds

Brown, Gavin; Kasprzyk, Alexander; Zhu, Lei


Gavin Brown

Lei Zhu


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.

Journal Article Type Article
Publication Date Apr 23, 2019
Journal Experimental Mathematics
Print ISSN 1058-6458
Electronic ISSN 1944-950X
Publisher Taylor & Francis Open
Peer Reviewed Peer Reviewed
APA6 Citation Brown, G., Kasprzyk, A., & Zhu, L. (2019). Gorenstein Formats, Canonical and Calabi–Yau Threefolds. Experimental Mathematics,
Keywords Gorenstein format; Key variety; Threefold; General type; Calabi-Yau; Fano; Canonical orbitfold
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