| Conţinutul numărului revistei |
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 SM ISO690:2012BODNARCHUK, Yurii. Generating properties of biparabolic invertible polynomial maps in three variables. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, nr. 1(44), pp. 34-39. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 1(44) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 34-39 | ||||||
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Invertible polynomial map of the standard 1-parabolic form xi →
fi(x1, . . . , xn−1), i < n, xn → xn hn(x1, . . . , xn−1) is a natural generalization
of a triangular map. To generalize the previous results about triangular and bitriangular
maps, it is shown that the group of tame polynomial transformations TGA3 is
generated by an affine group AGL3 and any nonlinear biparabolic map of the form
U0 · q1 ·U1 · q2 ·U2, where Ui are linear maps and both qi have the standard 1-parabolic form. |
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| Cuvinte-cheie Invertible polynomial map, tame map, affine group, affine Cremona group. |
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DataCite XML Export
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