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math.DG2026
-smooth approximation of mod integral cycles
Gianmarco Caldini, Anna Skorobogatova
We prove that every mod integral cycle of sufficiently high codimension in an oriented Riemannian manifold can be approximated in flat norm by a cycle which i…
gr-qc2026
Quasinormal modes of Kerr-Newman-de Sitter black holes from Heun connection formulae
Hideo Furugori, Naotaka Kubo, Hayato Motohashi +1
We study quasinormal modes governed by the Teukolsky equation in Kerr-Newman-de Sitter spacetime, formally treating the spin weight and field charge as arbitrary parameters. We use…
gr-qc2026
Trapped Surface as a Cosmic Censor
Hideo Furugori, Daisuke Yoshida, Kaho Yoshimura
We formulate a local geometric criterion for weak cosmic censorship in black hole overcharging and overspinning thought experiments. Under the null convergence and generic conditio…