Eduard Looijenga

activity

19992026

most citedThe Hodge polynomial of \Mbar_{3,1}

1 citations · 1 across the 7 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.AG2026

The moduli space of cubic surfaces and its orbifold fundamental group

Daniel Allcock, Tathagata Basak, Eduard Looijenga

We find a new presentation of the orbifold fundamental group of the moduli space of cubic surfaces, based on the Artin group of the Petersen graph. This group has two well-known qu…

math.DG2026

Extremal mappings of tori, Teichmüller potentials and symmetric-space distance

Benson Farb, Eduard Looijenga

The symmetric space $X_n={\rm SL}(n,\Rb)/{\rm SO}(n)$ can be interpreted as the Teichmüller space of marked, unit volume, flat $n$ -dimensional tori. It comes with a unique (up to s…

math.AG2026

Level structures on cyclic covers of $P^{n}$ and the homology of Fermat hypersurfaces

Eduard Looijenga

Let $Z^{'} \subset P^{n}$ be a smooth projective hypersurface of degree $d > 1$ and let $Z \to P^{n}$ be the $μ_{d}$ -cover totally ramified along $Z^{'}$ . We relate full level…

The moduli space of cubic surfaces and its orbifold fundamental group

Extremal mappings of tori, Teichmüller potentials and symmetric-space distance

Level structures on cyclic covers of Pn and the homology of Fermat hypersurfaces

Level structures on cyclic covers of $P^{n}$ and the homology of Fermat hypersurfaces