Hodge numbers of desingularized fiber products of elliptic surfaces
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- by Chad Schoen;
- Proc. Amer. Math. Soc. 152 (2024), 3215-3228
- DOI: https://doi.org/10.1090/proc/16803
- Published electronically: June 20, 2024
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Abstract:
Each element of $(\Bbb Z_{\geq 0})^2$ is realized as the Hodge vector $(h^{3,0}(Z),h^{2,1}(Z))$ of some compact, connected, three dimensional, complex, submanifold, $Z\subset \Bbb P^N_{\Bbb C}$. Each $(x,y)\in (\Bbb Z_{\geq 1})^2$ with $y\leq 11x+8$ is shown to be the Hodge vector of a projective desingularized fiber product of elliptic surfaces which moves in moduli.References
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Bibliographic Information
- Chad Schoen
- Affiliation: Department of Mathematics, Duke University, Durham, North Carolina 27708
- MR Author ID: 156685
- Email: schoen@math.duke.edu
- Received by editor(s): December 10, 2022
- Received by editor(s) in revised form: April 21, 2023, May 25, 2023, May 29, 2023, December 3, 2023, and January 31, 2024
- Published electronically: June 20, 2024
- Communicated by: Rachel Pries
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 3215-3228
- MSC (2020): Primary 14D07
- DOI: https://doi.org/10.1090/proc/16803
- MathSciNet review: 4767257