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SM ISO690:2012 VOSTOKOV, Sergey, VOLKOV, Vladislav. Explicit formula for Hilbert symbol of polynomial formal group over multidimensional local field. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 177-182. ISBN 978-9975-71-915-5. |
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Conference of Mathematical Society of the Republic of Moldova 4, 2017 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chişinău, Moldova, 28 iunie - 2 iulie 2017 | ||||||
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Pag. 177-182 | ||||||
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This paper continues series of work on explicit formulas for Hilbert symbol of formal groups. We consider simplest possible situation in which coefficients of the group do not lie in the inertia subfield of the field in question. In other words coefficient may contain ramifications. One-dimensional situation was considered in [1]. Previous results for the multidimensional case include classical multiplicative group case described in the works [2], [3], case of Lubin-Tate groups in [4] and case of Honda groups in [5], [6]. |
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Cuvinte-cheie Hilbert symbol, multidimensional local field, formal groups |
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