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Analytic moduli spaces of simple sheaves on families of integral curves (Pre-print version)
(Wiley, 2013)
We prove the existence of fine moduli spaces of simple coherent sheaves on families of irreducible curves. Our proof is based on the existence of a universal upper bound of the Castelnuovo–Mumford regularity of such sheaves, ...
Algebraic dimension of twistor spaces whose fundamental system is a pencil (pre-published version)
(London Mathematical Society, 2017)
We show that the algebraic dimension of a twistor space over nℂℙ2 cannot be two if n>4 and the fundamental system (that is, the linear system associated to the half‐anti‐canonical bundle, which is available on any twistor ...
The Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equation
(IOP Publishing, 2010)
We give a coordinate free proof of Belavin and Drinfeld's Theorem about the classi cation of non-degenerate solutions of the classical Yang-Baxter equation. The equivalence of different characterisations of non-degeneracy ...