Archivio Istituzionale della RicercaExtending a construction due to B. Segre, we give a negative answer to a question of Koiran and Skomra about Hessians, motivated by Kayal’s algorithm for the equivalence problem to the Fermat polynomial. We conjecture that our counterexamples are the only ones. We also study a local version of their question.
On the Koiran-Skomra’s question about Hessians / Ballico, E.; Ventura, E.. - 805:(2024), pp. 109-124. (Intervento presentato al convegno Proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type tenutosi a Grenoble (France) nel July 18–22, 2022) [10.1090/conm/805/16129].
On the Koiran-Skomra’s question about Hessians
Ventura E.
2024
Abstract
Extending a construction due to B. Segre, we give a negative answer to a question of Koiran and Skomra about Hessians, motivated by Kayal’s algorithm for the equivalence problem to the Fermat polynomial. We conjecture that our counterexamples are the only ones. We also study a local version of their question.
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Ballico-Ventura-On the Koiran-Skomra_s question-CONM.pdf
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On the Koiran-Skomra’s question about Hessians.pdf
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https://hdl.handle.net/11583/2995204