Quantitative properties of the non-properness set of a polynomial map, a positive characteristic case
2019 ◽
Vol 19
(10)
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pp. 2050192
Keyword(s):
Let [Formula: see text] be a generically finite polynomial map of degree [Formula: see text] between affine spaces. In [Z. Jelonek and M. Lasoń, Quantitative properties of the non-properness set of a polynomial map, Manuscripta Math. 156(3–4) (2018) 383–397] we proved that if [Formula: see text] is the field of complex or real numbers, then the set [Formula: see text] of points at which [Formula: see text] is not proper is covered by polynomial curves of degree at most [Formula: see text]. In this paper, we generalize this result to positive characteristic. We provide a geometric proof of an upper bound by [Formula: see text].
2016 ◽
Vol 27
(07)
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pp. 1640002
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1981 ◽
Vol 83
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pp. 107-121
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2011 ◽
Vol 20
(07)
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pp. 1059-1071
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2001 ◽
Vol 33
(5)
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pp. 578-582
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1990 ◽
Vol 109
(4)
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pp. 887-887
2017 ◽
Vol 156
(3-4)
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pp. 383-397
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