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4 papers · 1 filter
The degree of the bicanonical map of a surface with
Margarida Mendes Lopes, Rita Pardini
In this note it is shown that, given a smooth minimal complex surface of general type S with p_g(S)=0, K^2_S=3, for which the bicanonical map is a morphism, then the degree of the…
Classification of smooth affine spherical varieties
Friedrich Knop, Bart Van Steirteghem
Let G be a complex reductive group. A normal G-variety X is called spherical if a Borel subgroup of G has a dense orbit in X. Of particular interest are spherical varieties which a…
Numerical Godeaux surfaces with an involution
Alberto Calabri, Ciro Ciliberto, Margarida Mendes Lopes
Minimal algebraic surfaces of general type with the smallest possible invariants have geometric genus zero and K^2=1 and are usually called "numerical Godeaux surfaces". Although t…
Even sets of four nodes on rational surfaces
Alberto Calabri, Ciro Ciliberto, Margarida Mendes Lopes
We describe smooth rational projective algebraic surfaces X, over an algebraically closed field of characteristic different from 2, having an even set of four disjoint (-2)-curves…