3 citations · 3 across the 5 of their papers we have counts for
6 papers
Does the Grothendieck ring of varieties contain nilpotent elements?
Anna Bot, Alessio Cangini, Immanuel van Santen
We show that a ring closely related to the Grothendieck ring of varieties has nilpotent elements, provided that the characteristic of the ground field is equal to or at least…
The ordinal of dynamical degrees of birational maps of the projective plane
Anna Bot
We show that the ordinal of the dynamical degrees of all complex birational maps of the projective plane is .
Relative forms of real algebraic varieties and examples of quasi-projective surfaces with algebraic moduli of real forms
Anna Bot, Adrien Dubouloz
We propose a framework to give a precise meaning to the intuitive notion of "family of real forms of a variety parametrised by a variety" and study some fundamental properties of t…
Real forms of some Gizatullin surfaces and Koras-Russell threefolds
Jérémy Blanc, Anna Bot, Pierre-Marie Poloni
We describe the real forms of Gizatullin surfaces of the form and of Koras-Russell threefolds of the first kind. The former admit zero, two, three, four or six isomorphis…
A smooth complex rational affine surface with uncountably many real forms
Anna Bot
We exhibit a smooth complex rational affine surface with uncountably many nonisomorphic real forms.
Real forms on rational surfaces
Anna Bot
For any positive integer , we construct a smooth complex projective rational surface which has at least real forms not isomorphic over .