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.AG2024
Griffiths heights and pencils of hypersurfaces
Thomas Mordant
The Griffiths height of a variation of Hodge structures over a projective curve is defined as the degree of its canonical line bundle, as defined by Griffiths and generalized by Pe…