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math.AG2000
On two simple criteria for recognizing complete intersections in codimension 2
Alessandro Arsie
Developing a previous idea of Faltings, we characterize the complete intersections of codimension 2 in P^n, n>=3, over an algebraically closed field of any characteristic, among l.…
math.DG2000★ 12 cited
Maslov class and minimality in Calabi-Yau manifolds
Alessandro Arsie
Generalizing the construction of the Maslov class for a Lagrangian embedding in a symplectic vector space, we prove that it is possible to give a consistent definition of this clas…
math.DG2000
Special Lagrangian Geometry in irreducible symplectic 4-folds
Alessandro Arsie
Having fixed a Kaehler class and the unique corresponding hyperkaehler metric, we prove that all special Lagrangian submanifolds of an irreducible symplectic 4-fold X are bi-Lagran…