Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $p$-adic heights of generalized Heegner cycles   We relate the $p$-adic heights of generalized Heegner cycles to the
derivative of a $p$-adic $L$-function attached to a pair $(f, \chi)$, where $f$
is an ordinary weight $2r$ newform and $\chi$ is an unramified imaginary
quadratic Hecke character of infinity type $(\ell,0)$, with $0 < \ell < 2r$.
This generalizes the $p$-adic Gross-Zagier formula in the case $\ell = 0$ due
to Perrin-Riou (in weight two) and Nekov\'a\u{r} (in higher weight).

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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: physics