References
Classification of hyperelliptic varieties
- G. Bagnera, M. de Franchis, Le superficie algebriche le quali ammettono una rappresentazione parametrica mediante funzioni iperellittiche di due argomenti, Mem. Soc. Ital. Sci. (3) 15 (1908). The seven types of hyperelliptic surfaces.
- K. Uchida, H. Yoshihara, Discontinuous groups of affine transformations of $\mathbb{C}^3$, Tôhoku Math. J. (2) 28 (1976) 89–94. MR400271, doi.
- H. Lange, Hyperelliptic varieties, Tôhoku Math. J. (2) 53 (2001) 491–510. MR1862215, doi. The founding paper.
- F. Catanese, A. Demleitner, The classification of hyperelliptic threefolds, Groups Geom. Dyn. 14 (2020) 1447–1454. MR4186481, doi.
- F. Catanese, A. Demleitner, Hyperelliptic threefolds with group $\mathrm{D}_4$, arXiv:1805.01835.
- A. Demleitner, The classification of hyperelliptic groups in dimension 4, arXiv:2211.07998.
- A. Demleitner, C. Gleissner, The classification of rigid hyperelliptic fourfolds, Ann. Mat. Pura Appl. (4) 202 (2023) 1425–1450. MR4576947, doi.
- A. Demleitner, Classification of Bagnera–de Franchis varieties in small dimensions, Ann. Fac. Sci. Toulouse Math. (6) 29 (2020) 111–133. MR4809689, doi.
Invariants and structure
- P. Belmans, A. Demleitner, P. Núñez, The Albanese morphism for hyperelliptic varieties, Indag. Math. (N.S.) 37 (2026) 1450–1475. MR5103244, doi.
- R. Auffarth, G. Lucchini Arteche, Smooth quotients of complex tori by finite groups, Math. Z. 300 (2022) 1071–1091. MR4363769, doi.
- C. Birkenhake, H. Lange, Complex abelian varieties, 2nd ed., Grundlehren 302, Springer (2004). MR2062673, doi.
Semiorthogonal indecomposability
- D. Pirozhkov, Stably semiorthogonally indecomposable varieties, Épijournal Géom. Algébrique 7 (2023). MR4582884, doi.
- F. Caucci, Paracanonical base locus, Albanese morphism, and semi-orthogonal indecomposability, Selecta Math. (N.S.) 30 (2024) no. 86. MR4805086, doi.
- K. Kawatani, S. Okawa, Nonexistence of semiorthogonal decompositions and sections of the canonical bundle, arXiv:1508.00682.