3 papers
math.AG2025
Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. II Hypersurfaces with semihomogeneous singularities
Thomas Mordant
This paper establishes the formula for the stable Griffiths height of the middle-dimensional cohomology of a pencil of projective hypersurfaces , with semihomogeneous singularit…
math.AG2025
Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. I
Thomas Mordant
We study the Griffiths heights associated to the middle-dimensional cohomology of pencils of projective hypersurfaces, by comparing them to heights defined by means of geometric in…
math.AG2023
A note on the semistability of singular projective hypersurfaces
Thomas Mordant
In this note, we give sufficient conditions for the (semi)stability of a hypersurface of in terms of its degree , the maximal multiplicity of its singul…