Displaying 101 – 120 of 137

Showing per page

Regular holomorphic images of balls

John Erik Fornaess, Edgar Lee Stout (1982)

Annales de l'institut Fourier

Every n -dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in C n under a finite holomorphic map that is locally biholomorphic.

Slices to sums of adjoint orbits, the Atiyah-Hitchin manifold, and Hilbert schemes of points

Roger Bielawski (2017)

Complex Manifolds

We show that the regular Slodowy slice to the sum of two semisimple adjoint orbits of GL(n, ℂ) is isomorphic to the deformation of the D2-singularity if n = 2, the Dancer deformation of the double cover of the Atiyah-Hitchin manifold if n = 3, and to the Atiyah-Hitchin manifold itself if n = 4. For higher n, such slices to the sum of two orbits, each having only two distinct eigenvalues, are either empty or biholomorphic to open subsets of the Hilbert scheme of points on one of the above surfaces....

Currently displaying 101 – 120 of 137