ASD moduli spaces over four-manifolds with tree-like ends.
Asymptotic behaviour of numerical invariants of algebraic varieties
We show that if the degree of a nonsingular projective variety is high enough, maximization of any of the most important numerical invariants, such as class, Betti number, and any of the Chern or middle Hodge numbers, leads to the same class of extremal varieties. Moreover, asymptotically (say, for varieties whose total Betti number is big enough) the ratio of any two of these invariants tends to a well-defined constant.
Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves
Auslander's Delta, the Quasihomogeneity of Isolated Hypersurface Singularities and the Tate Resolution of the Moduli Algebra.
Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces.
Automorphism groups of rational elliptic surfaces with section and constant J-map
In this paper, the automorphism groups of relatively minimal rational elliptic surfaces with section which have constant J-maps are classified. The ground field is ℂ. The automorphism group of such a surface β: B → ℙ1, denoted by Au t(B), consists of all biholomorphic maps on the complex manifold B. The group Au t(B) is isomorphic to the semi-direct product MW(B) ⋊ Aut σ (B) of the Mordell-Weil groupMW(B) (the group of sections of B), and the subgroup Aut σ (B) of the automorphisms preserving a...
Automorphisms of cusps and Inoue-Hirzebruch surfaces
Automorphisms of Enriques Surfaces.
Automorphisms of Enriques surfaces which act trivially on the cohomology groups.
Automorphisms of order three on numerical Godeaux surfaces
We prove that a numerical Godeaux surface cannot have an automorphism of order three.
Automorphisms of rational double points and moduli spaces of surfaces of general type