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A Bertini type theorem for pencils over finite fields |
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| Affiliation: | 1. Applied Algebra and Optimization Research Center, Sungkyunkwan University, Suwon, Republic of Korea;2. Institute of Mathematical Sciences, Ewha Womans University, Seoul, Republic of Korea;1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Perugia, Italy;2. Dipartimento di Matematica e Fisica, Università degli Studi della Campania “Luigi Vanvitelli”, Caserta, Italy |
| Abstract: | We study the question of finding smooth hyperplane sections to a pencil of hypersurfaces over finite fields. |
| Keywords: | Bertini theorem Finite fields |
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