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math.AG2026
Geometry of the Donaldson-Friedman Pushout: Twistor degenerations and instanton charge
Amedeo Altavilla, Maurício Corrêa
We study the Donaldson-Friedman semistable twistor degeneration by combining the scheme-theoretic geometry of its Ferrand pushout with the logarithmic topology of its Kato-Nakayama…
math.AG2018
Twistor lines on algebraic surfaces
Amedeo Altavilla, Edoardo Ballico
We give quantitative and qualitative results on the family of surfaces in containing finitely many twistor lines. We start by analyzing the ideal sheaf of a finite…