Holomorphic automorphisms of Danielewski surfaces

• In this thesis we define the notion of an overshear on a Danielewskisurface. Next we show that the group generated by the overshears is dense in the component of the identity of the automorphism group. Moreover, we show that the overshear group has a structure of an amalgamated product, and as consequence of this the overshear group is a proper subgroup of the automorphism group. Finally we classify the R^n-actions, and therefore the one parameter subgroups, of the overshear group. We also show that any Lie subgroup of an amalgamated product can be conjugated to one of the factors of the amalgamated product.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Danielewski surfaces

holomorphic

automorphisms

Lie groups

Algebra, geometry and mathematical analysis

Algebra, geometri och analys

Publication and Content Type

vet (subject category)

dok (subject category)