CV of Alessandro Ghigi

CV in English

Publications of Alessandro Ghigi

Papers on Mathscinet


  1. Totally geodesic subvarieties in the moduli space of curves (with G. P. Pirola and S. Torelli).
    ArXiv version: arXiv:math/1902.06098.
  2. Meromorphic limits of automorphisms (with L. Biliotti).
    ArXiv version: arXiv:math/1901.10724.

Accepted papers:

  1. Fujita decomposition and Hodge loci (with P. Frediani and G. P. Pirola).
    To appear on Journal of the Institute of Mathematics of Jussieu.
    ArXiv version: arXiv:math/1710.03531.
  2. On some differential-geometric aspects of the Torelli map.
    To appear on Bollettino U.M.I., 2019, Volume 12 (special volume in memory of Paolo de Bartolomeis), Issue 1–2, pp 133–144.
    ArXiv version: arXiv:math/1809.06315.
  3. Shimura curves in the Prym locus (with E. Colombo, P. Frediani and M. Penegini).
    Communications in Contemporary Mathematics Vol. 21, No. 02, 1850009 (2019) .
    ArXiv version: arXiv:math/1706.02364.
  4. Remarks on the abelian convexity theorem (with L. Biliotti).
    Proc. Amer. Math. Soc. 146 (2018), 5409-5419.
    ArXiv version: arXiv:math/1801.01778.
  5. Stability of measures on Kähler manifolds (with L. Biliotti).
    Advances in Mathematics, Volume 307, 5 February 2017, Pages 1108-1150.
    ArXiv version: arXiv:math/1512.04031.
  6. Invariant convex sets in polar representations (with L. Biliotti and P. Heinzner).
    Israel Journal of Mathematics, June 2016, Volume 213, Issue 1, 423-441.
    ArXiv version: arXiv:math/1411.6041.
  7. Shimura varieties in the Torelli locus via Galois coverings (with P. Frediani and M. Penegini).
    International Mathematics Research Notices, vol. 20, p. 10595-10623.
    ArXiv version: arXiv:math/1402.0973.
  8. On totally geodesic submanifolds in the Jacobian locus (with E. Colombo and P. Frediani).
    International Journal of Mathematics, Volume 26, Issue 01, January 2015,
    1550005 (2015) [21 pages]
    ArXiv version: arXiv:math/1309.1022.
  9. A remark on the gradient map (with L. Biliotti and P. Heinzner).
    Documenta Mathematica, Vol. 19 (2014), 1017-1023.
    ArXiv version: arXiv:math/1402.1785.
  10. Polar orbitopes (with L. Biliotti and P. Heinzner).
    Communications in Analysis and Geometry, Volume 21 (2013), no. 3, 579-606.
    ArXiv version: arXiv:1206.5717.
  11. Coadjoint orbitopes (with L. Biliotti and P. Heinzner).
    Osaka Journal of Mathematics, Volume 51, Number 4 (2014), 935–968.
    ArXiv version: arXiv:1110.6039.
  12. On the approximation of functions on a Hodge manifold.
    Annales de la Faculté des Sciences de Toulouse, Sér. 6 Vol. 21 no. 4 (2012), p. 769-781.
    ArXiv version: arXiv:1010.3439.
  13. Satake-Furstenberg compactifications, the moment map and λ1 (with L. Biliotti).
    Amer. J. Math. 135 (2013), no. 1, 237-274.
    ArXiv version: arXiv:1003.2725.
  14. Homogeneous bundles and the first eigenvalue of symmetric spaces (with L. Biliotti).
    Ann. Inst. Fourier, 58 (2008), no. 7, 2315-2331.
    ArXiv version: arXiv:0709.2104.
  15. Stable bundles and the first eigenvalue of the laplacian (with C. Arezzo and A. Loi).
    J. Geom. Anal., 17 (2007), no. 3,375-286.
    ArXiv version: arXiv:math/0511670.
  16. Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres (with J. Kollár) .
    Comment. Math. Helv. 82 (2007), no. 4, 877-902
    ArXiv version: arXiv:math/0507289.
  17. Symmetries, quotients and Kähler-Einstein metrics (with C. Arezzo and G.P. Pirola).
    J. Reine Angew. Math. 591 (2006), 177-200.
    ArXiv version: arXiv:math/0402316.
  18. Symmetries and Kähler-Einstein metrics (with C. Arezzo).
    Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 8 (2005), no. 3, 605–613.
  19. On the Moser-Onofri and Prékopa-Leindler inequalities.
    Collect. Math. 56, (2005), 143-156.
  20. A generalization of Cayley submanifolds.
    IMRN, 2000, No. 15, pp. 787-800.
    ArXiv version: arXiv:math/0002065.


  1. Alexandrov curvature of Kähler curves.
    N.B. This preprint will not be published since it turned out that the main result was already known.