P-Adic Theta Functions
Copyright policy )P-Adic Theta Functions
\textit{I. Barsotti} [Sympos. Math., Roma 3, 247-277 (1970; Zbl 0194.522)] and \textit{V. Cristante} [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 181-225 (1980; Zbl 0438.14027)] constructed p-adic theta functions for abelian schemes over a discrete valuation ring dominating the Witt vector ring of an algebraically closed field of characteristic p (\(>0)\). - In this paper, the author constructs p-adic theta functions following the method given by \textit{D. Mumford} [Invent. Math. 1, 287-354 (1966), 3, 75- 135 and 215-244 (1967; Zbl 0219.14024)], and he shows that both Barsotti's p-adic functions and Mumford's are essentially the same.
- University of Massachusetts Amherst United States
Local ground fields in algebraic geometry, Theta functions and abelian varieties, p-adic theta functions for abelian schemes over a discrete valuation ring, Witt vector ring
Local ground fields in algebraic geometry, Theta functions and abelian varieties, p-adic theta functions for abelian schemes over a discrete valuation ring, Witt vector ring
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