88 citations · 416 across the 62 of their papers we have counts for
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Arithmetic properties of signed Selmer groups at non-ordinary primes
Jeffrey Hatley, Antonio Lei
We extend many results on Selmer groups for elliptic curves and modular forms to the non-ordinary setting. More precisely, we study the signed Selmer groups defined using the machi…
Euler systems for Hilbert modular surfaces
Antonio Lei, David Loeffler, Sarah Livia Zerbes
We construct an Euler system -- a compatible family of global cohomology classes -- for the Galois representations appearing in the geometry of Hilbert modular surfaces. If a conje…
Iwasawa theory of elliptic modular forms over imaginary quadratic fields at non-ordinary primes
Kazim Buyukboduk, Antonio Lei
We formulate integral Iwasawa main conjectures for suitable twists of a newform that is non-ordinary at , over the cyclotomic -extension, the anticyclotomic $\…
On the parity of supersingular Weil polynomials
David Ayotte, Antonio Lei, Jean-Christophe Rondy-Turcotte
Let q be an odd power of a prime p and let A/Fq be a supersingular abelian variety of dimension g. We show that if p>2g+1, then the characteristic polynomial of the q-Frobenius is…
Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms
Kazim Büyükboduk, Antonio Lei
This is the first in a series of articles where we will study the Iwasawa theory of an elliptic modular form f along the anticyclotomic Zp-tower of an imaginary quadratic field K w…
Functional equations for multi-signed Selmer groups
Antonio Lei, Gautier Ponsinet
We study the functional equation for the multi-signed Selmer groups for non-ordinary motives whose Hodge-Tate weights are and , defined by Büyükboduk and the first named aut…