Research

 

Preprints and published articles

Here is my  PhD dissertation .

 

A slightly revised version of this memoir is available as the following prepublication. However this prepublication does not include the Appendix of the memoir Sections génériques et pinceaux d’hypersurfaces, where are established results of independent interest concerning the construction, as generic sections, of smooth hypersurfaces satisfying suitable transversality properties. 

Griffiths heights and pencils of hypersurfaces, https://arxiv.org/abs/2212.11019

The last version of the above prepublication is to appear in the series Mémoires de la Société Mathématique de France

 

A note on the semistability of singular projective hypersurfaces, https://arxiv.org/abs/2312.09774. Published in Mathematische Zeitschrift, see https://rdcu.be/dBgnF.

 

Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. I, https://arxiv.org/abs/2506.15334

 

Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. II Hypersurfaces with semihomogeneous singularities,  here .

Contact

Laboratoire de mathématiques d'Orsay
Bât. 307, bureau 3S22
Université Paris-Saclay
91405 Orsay 

thomas.mordant@universite-paris-saclay.fr