Author

Antonio Lei

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Preprint Aug 2026

Recovering Laplacian Lattices from $L$-Functions of Graphs

We introduce $L$-functions associated with characters of the Jacobian of a finite graph, as a graph-theoretic analogue of the $L$-functions arising from unramified coverings of algebraic curves. These $L$-functions are defined using the Riemann--Roch structure on the graph and extend Lorenzini's two-variable zeta funct...

Danial Labib, Antonio Lei · 0 citations

Preprint Sep 2026

Iwasawa theory of CM elliptic curves at potentially supersingular primes

We develop a plus and minus Iwasawa theory for CM elliptic curves with potentially supersingular reduction at a prime $p\ge5$. We construct local points that satisfy suitable"jumping trace"relations using the Honda--Demchenko theory applied to height-two formal groups over local fields with small ramification degree. T...

Ben Forrás, Antonio Lei · 0 citations