For abelian varieties of dimension at most three, higher Chow cycles yield meromorphic Siegel modular forms of weight Sym^4 det^-1, and the K-theory elevator matches the Siegel operator under rank-one degeneration.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Siegel modular forms arising from higher Chow cycles
For abelian varieties of dimension at most three, higher Chow cycles yield meromorphic Siegel modular forms of weight Sym^4 det^-1, and the K-theory elevator matches the Siegel operator under rank-one degeneration.