Vanishing sums in function fields
1986 ◽
Vol 100
(3)
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pp. 427-434
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Keyword(s):
Let k be a field of zero characteristic, and let F be a function field over k of genus g. We normalize each valuation v on F so that its order group consists of all rational integers, and for elements u1, …, un of F, not all zero, we define the (projective) height asThe sum formula on F shows that this is really a height on the projective space .
2018 ◽
Vol 166
(3)
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pp. 523-542
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Keyword(s):
1986 ◽
Vol 99
(3)
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pp. 409-423
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1959 ◽
Vol 14
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pp. 223-234
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Keyword(s):
2010 ◽
Vol 88
(3)
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pp. 301-312
Keyword(s):
1968 ◽
Vol 9
(2)
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pp. 146-151
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2015 ◽
Vol 58
(4)
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pp. 858-868
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1995 ◽
Vol 38
(2)
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pp. 167-173
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Keyword(s):
2020 ◽
Vol 16
(09)
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pp. 2041-2094
Keyword(s):
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