Boundedness of elliptic Calabi–Yau threefolds
Publication
, Journal Article
Filipazzi, S; Hacon, CD; Svaldi, R
Published in: Journal of the European Mathematical Society
January 1, 2025
We show that elliptic Calabi–Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.
Duke Scholars
Published In
Journal of the European Mathematical Society
DOI
ISSN
1435-9855
Publication Date
January 1, 2025
Volume
27
Issue
9
Start / End Page
3583 / 3650
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Filipazzi, S., Hacon, C. D., & Svaldi, R. (2025). Boundedness of elliptic Calabi–Yau threefolds. Journal of the European Mathematical Society, 27(9), 3583–3650. https://doi.org/10.4171/JEMS/1467
Filipazzi, S., C. D. Hacon, and R. Svaldi. “Boundedness of elliptic Calabi–Yau threefolds.” Journal of the European Mathematical Society 27, no. 9 (January 1, 2025): 3583–3650. https://doi.org/10.4171/JEMS/1467.
Filipazzi S, Hacon CD, Svaldi R. Boundedness of elliptic Calabi–Yau threefolds. Journal of the European Mathematical Society. 2025 Jan 1;27(9):3583–650.
Filipazzi, S., et al. “Boundedness of elliptic Calabi–Yau threefolds.” Journal of the European Mathematical Society, vol. 27, no. 9, Jan. 2025, pp. 3583–650. Scopus, doi:10.4171/JEMS/1467.
Filipazzi S, Hacon CD, Svaldi R. Boundedness of elliptic Calabi–Yau threefolds. Journal of the European Mathematical Society. 2025 Jan 1;27(9):3583–3650.
Published In
Journal of the European Mathematical Society
DOI
ISSN
1435-9855
Publication Date
January 1, 2025
Volume
27
Issue
9
Start / End Page
3583 / 3650
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics