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Moduli of certain Fano 4-folds.

Walter L. Baily Jr. (2001)

Revista Matemática Iberoamericana

In this brief note we give a proof that a certain family of Fano 4-folds, described below, is complex (locally) complete and effectively parametrized in the sense of Kodaira-Spencer [Ko-Sp].

Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3

Ugo Bruzzo, Dimitri Markushevich, Alexander Tikhomirov (2012)

Open Mathematics

Symplectic instanton vector bundles on the projective space ℙ3 constitute a natural generalization of mathematical instantons of rank-2. We study the moduli space I n;r of rank-2r symplectic instanton vector bundles on ℙ3 with r ≥ 2 and second Chern class n ≥ r, n ≡ r (mod 2). We introduce the notion of tame symplectic instantons by excluding a kind of pathological monads and show that the locus I n;r* of tame symplectic instantons is irreducible and has the expected dimension, equal to 4n(r + 1)...

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