Algebraic hyperbolicity for surfaces in toric threefolds

Haase, Christian; Ilten, Nathan

doi:10.1090/jag/770

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Algebraic hyperbolicity for surfaces in toric threefolds

Authors: Christian Haase and Nathan Ilten
Journal: J. Algebraic Geom.
DOI: https://doi.org/10.1090/jag/770
Published electronically: January 14, 2021
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Abstract: Adapting focal loci techniques used by Chiantini and Lopez, we provide lower bounds on the genera of curves contained in very general surfaces in Gorenstein toric threefolds. We illustrate the utility of these bounds by obtaining results on algebraic hyperbolicity of very general surfaces in toric threefolds.

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Additional Information

Christian Haase
Affiliation: Institut für Mathematik, Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Germany
Email: haase@math.fu-berlin.de

Nathan Ilten
Affiliation: Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, British Columbia V5A 1S6, Canada
Email: nilten@sfu.ca

DOI: https://doi.org/10.1090/jag/770
Received by editor(s): May 9, 2019
Received by editor(s) in revised form: March 5, 2020
Published electronically: January 14, 2021
Additional Notes: The work of the first author was partially supported by the grant HA 4383/8-1 of the German Research Foundation DFG. The work of the second author was partially supported by the grant 346300 for IMPAN from the Simons Foundation and the matching 2015-2019 Polish MNiSW fund
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