activity
20152024
most citedThe construction problem for Hodge numbers modulo an integer

5 citations · 14 across the 6 of their papers we have counts for

collaborators

6 papers

math.DG2024

Verbal ideals and unobstructed complex parallelisable nilmanifolds

Matthias Paulsen, Sönke Rollenske, Konstantin Wehler

We show that a compact complex parallelisable nilmanifold has unobstructed deformations if and only if its associated Lie algebra satisfies a reality condition and is a free Lie al…

math.AG2021★ 1 cited

On the degree of algebraic cycles on hypersurfaces

Matthias Paulsen

Let be a very general hypersurface of degree . Griffiths and Harris conjectured in 1985 that the degree of every curve is divisible by …

math.AG2020★ 5 cited

The construction problem for Hodge numbers modulo an integer in positive characteristic

Remy van Dobben de Bruyn, Matthias Paulsen

Let be an algebraically closed field of positive characteristic. For any integer , we show that the Hodge numbers of a smooth projective -variety can take on any c…

math.AG2019★ 5 cited

The construction problem for Hodge numbers modulo an integer

Matthias Paulsen, Stefan Schreieder

For any positive integer m and any dimension n, we show that any n-dimensional Hodge diamond with values in Z/mZ is attained by the Hodge numbers of an n-dimensional smooth complex…

math.AG2018★ 2 cited

On the rationality of quadric surface bundles

Matthias Paulsen

For any standard quadric surface bundle over , we show that the locus of rational fibres is dense in the moduli space.

math.NT2015★ 1 cited

Construction of normal numbers with respect to Generalized Lüroth Series from equidistributed sequences

Max Aehle, Matthias Paulsen

Generalized Lüroth series generalize -adic representations as well as Lüroth series. Almost all real numbers are normal, but it is not easy to construct one. In this paper, a ne…