Taylor varieties T^n _{d,e,m} arise from Taylor expansion of rational functions in n variables. Among them, we look for non-defective hypersurfaces. We prove that the cases n = 2 and m = d + 2 give new examples of hypersurfaces with identically null Hessian.

Gomes Ribeiro, T., Guardo, E., Muzika Dizdarevi ´c, M., Nowroozi, M., Santarsiero, P., Supino, P. (2026). Some Taylor varieties with null Hessian.

Some Taylor varieties with null Hessian

PAOLA SUPINO
2026-01-01

Abstract

Taylor varieties T^n _{d,e,m} arise from Taylor expansion of rational functions in n variables. Among them, we look for non-defective hypersurfaces. We prove that the cases n = 2 and m = d + 2 give new examples of hypersurfaces with identically null Hessian.
2026
Gomes Ribeiro, T., Guardo, E., Muzika Dizdarevi ´c, M., Nowroozi, M., Santarsiero, P., Supino, P. (2026). Some Taylor varieties with null Hessian.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/559096
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