Cécile Gachet



Home Teaching Outreach Events


Preprints

  1. Well-clipped cones behave themselves under all finite quotients, the cone conjecture under most
    arXiv:2504.01753, pdf-file
  2. The effective cone conjecture for Calabi--Yau pairs
    Joint work with Hsueh-Yung Lin, Isabel Stenger, and Long Wang.
    arXiv:2406.07307, pdf-file
  3. Fundamental groups of log Calabi-Yau surfaces.
    Joint work with Joaquin Moraga, and Zhining Liu.
    arXiv:2312.03981, pdf-file
  4. Smooth projective surfaces with infinitel many real forms.
    Joint work with Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso, Long Wang, and Xun Yu.
    arXiv:2210.04760, pdf-file

Publications

  1. Nef cones of fiber products and an application to the Cone Conjecture.
    Joint work with Hsueh-Yung Lin and Long Wang.
    Published online at Forum of Mathematics, Sigma in March 2024.
    published version, arXiv:2210.02779, pdf-file
  2. Positivity of higher exterior powers of the tangent bundle.
    International Mathematics Research Notices (IMRN), Volume 2024, Issue 8, 6522–6552.
    published version, arXiv:2207.10854, pdf-file
  3. Finite quotients of abelian varieties with a Calabi-Yau resolution.
    Journal de l’École polytechnique (JEP) — Mathématiques, Volume 11 (2024), 1219-1286.
    published version, arXiv:2201.00619, pdf-file
  4. Positivity of the cotangent bundle of singular Calabi-Yau varieties.
    Math. Res. Lett., 2022, Volume 29, Issue 2, 339-372
    published version, arXiv:2009.10044, pdf-file
    Here is the computer program I run on the Kreuzer-Skarke database of Calabi-Yau hypersurfaces in four-dimensional weighted projective spaces to provide examples in Section 7. Code is written in Python: py-files. Files should all be saved in the same folder and main.py should be run.
  5. Examples and non-examples of polyhedral Kähler surfaces.
    The Quarterly Journal of Mathematics, September 2019, Volume 70, Issue 3, 985–998.
    published version, arXiv:1806.03035, pdf-file

Theses and other documents