10 papers
Automorphisms of the moduli space of smooth cubic surfaces and its fundamental group
Gregorio Baldi, Benson Farb, Ariyan Javanpeykar +1
Let be the moduli space of smooth complex cubic surfaces and let be its (orbifold) fundamental group. We prove that the ``divisor subgroup'' of $Ï…
The theorem of Maehara-Severi for maps of general type
Finn Bartsch, Ariyan Javanpeykar, Erwan Rousseau
We prove a finiteness result for dominant rational maps whose orbifold base is of general type. Our finiteness result generalizes Maehara's theorem that a given variety dominates o…
Weakly special varieties, Campana stacks, and Remarks on Orbifold Mordell
Finn Bartsch, Ariyan Javanpeykar
We construct the first weakly special surfaces that are not Campana-special, including the complement of the plane curve in . We prove that the set of $\…
The Weakly Special Conjecture contradicts orbifold Mordell, and hence the abc conjecture
Finn Bartsch, Frédéric Campana, Ariyan Javanpeykar +1
Starting from an Enriques surface over considered by Lafon, we give the first examples of smooth projective weakly special threefolds which fibre over the projectiv…
Hilbert properties of varieties
Arno Fehm, Ariyan Javanpeykar
This is a survey of results on the Hilbert property of algebraic varieties, and variants of it.
Symmetric products and puncturing Campana-special varieties
Finn Bartsch, Ariyan Javanpeykar, Aaron Levin
We give a counterexample to the Arithmetic Puncturing Conjecture and Geometric Puncturing Conjecture of Hassett-Tschinkel using symmetric powers of uniruled surfaces, and propose a…