Pierre-Marie Poloni

activity

20062026

most citedNon cancellation for smooth contractible affine threefolds

5 citations · 12 across the 14 of their papers we have counts for

collaborators

19 papers

math.AG2026

The cylinder over the Russell cubic threefold is flexible

Pierre-Marie Poloni

The Russell cubic threefold is the hypersurface $X \subset A_{C}^{4}$ defined by $x^{2} y + z^{2} + x + t^{3} = 0$ . We prove that its cylinder $X \times A^{1}$ i…

math.AG2023

Complements of hypersurfaces in projective spaces

Jérémy Blanc, Pierre-Marie Poloni, Immanuel Van Santen

We study the complement problem in projective spaces $P^{n}$ over any algebraically closed field: If $H, H^{'} \subseteq P^{n}$ are irreducible hypersurfaces of degree $…

math.AG2021

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 $x y = p (z)$ and of Koras-Russell threefolds of the first kind. The former admit zero, two, three, four or six isomorphis…

math.AG2020

Bivariables and Vénéreau polynomials

Jérémy Blanc, Pierre-Marie Poloni

We study a family of polynomials introduced by Daigle and Freudenburg, which contains the famous Vénéreau polynomials and defines $A^{2}$ -fibrations over $A^{2}$ . Acc…

math.AG2020

Isomorphisms between cylinders over Danielewski surfaces

Lucy Moser-Jauslin, Pierre-Marie Poloni

A special Danielewski surface is an affine surface which is the total space of a principal $(C, +)$ -bundle over an affine line with a multiple origin. Using a fiber product…

math.CV2018

Embedding Riemann surfaces with isolated punctures into the complex plane

Frank Kutzschebauch, Pierre-Marie Poloni

We enlarge the class of open Riemann surfaces known to be holomorphically embeddable into the plane by allowing them to have additional isolated punctures compared to the known emb…