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Introduction
I like to think about topics in birational geometry. At the moment I'm working on real forms on (quasi-)projective/affine rational surfaces, dynamical degree of birational maps and Coble surfaces.
Skills and Expertise
Publications
Publications (8)
We show that the ordinal of the dynamical degrees of all complex birational maps of the projective plane is $\omega^\omega$.
We construct real rational quasi-projective surfaces with positive dimensional algebraic moduli of mutually non-isomorphic real forms.
We describe the real forms of Gizatullin surfaces of the form $xy=p(z)$ and of Koras-Russell threefolds of the first kind. The former admit zero, two, three, four or six isomorphism classes of real forms, depending on the degree and the symmetries of the polynomial~$p$. The latter, which are threefolds given by an equation of the form $x^dy+z^k+x+t...
We exhibit a smooth complex rational affine surface with uncountably many real forms.
For any positive integer $r$, we construct a smooth complex projective rational surface which has at least $r$ real forms not isomorphic over $\mathbb{R}$.
