laura pertusi

Papers and preprints


These are the latest versions of my papers and preprints. They are also present on ArXiv in a non-updated version.

  1. L. Pertusi, Noncommutative varieties and stability conditions: an overview, arXiv:2602.24016 (pdf).
  2. C. Li, Y. Lin, L. Pertusi, X. Zhao, Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds, to appear in Journal fur die reine und angewandte Mathematik, arXiv:2406.09124 (pdf).
  3. E. Brakkee, C. Camere, A. Grossi, L. Pertusi, G. Saccà, S. Viktorova, Irreducible symplectic varieties via relative Prym varieties, to appear in Advances in Math., arXiv:2404.03157 (pdf).
  4. A. Perry, L. Pertusi, X. Zhao, Moduli spaces of stable objects in Enriques categories, to appear in Selecta Math., arXiv:2305.10702 (pdf).
  5. H. Chen, L. Pertusi, X. Zhao, Some remarks about deformation theory and formality conjecture, Annali dell'Università di Ferrara 70, 761–779 (2024) (pdf).
  6. C. Li, L. Pertusi, X. Zhao, Derived categories of hearts on Kuznetsov components, Journal of the London Mathematical Society, Volume 108, Issue 6 (2023), 2085-2490 (pdf).
  7. W. Cattani, F. Giovenzana, S. Liu, P. Magni, L. Martinelli, L. Pertusi, J. Song, Kernels of categorical resolutions of nodal singularities, Rend. Circ. Mat. Palermo 72 (2023), no.6, 3077-3105 (pdf).
  8. L. Pertusi, P. Stellari, Categorical Torelli theorems: results and open problems, Rend. Circ. Mat. Palermo (2) 72 (2023), no. 5, 2949–3011 (pdf).
  9. L. Pertusi, E. Robinett, Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor, Math. Nachr. 296 (2023), no. 7, 2975–3002 (pdf).
  10. S. Feyzbakhsh, L. Pertusi, Serre-invariant stability conditions and Ulrich bundles on cubic threefolds, Epijournal de Géométrie Algébrique, Volume 7 (2023), Article No. 1 (pdf).
  11. C. Li, L. Pertusi, X. Zhao, Twisted cubics on cubic fourfolds and stability conditions, Algebr. Geom. 10 (2023), no. 5, 620–642 (pdf).
  12. C. Li, L. Pertusi, X. Zhao, Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations, Adv. Math. 408 (2022), part A, Paper No. 108584, 56 pp (pdf).
  13. A. Perry, L. Pertusi, X. Zhao, Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties, Geometry and Topology (7) 26 (2022), 3055--3121 (pdf).
  14. L. Pertusi, S. Yang, Some remarks on Fano threefolds of index two and stability conditions, IMRN (17) 2022 (2022), 13396–13446 (pdf).
  15. E. Brakkee, L. Pertusi, Marked and labelled Gushel-Mukai fourfolds, Rationality of Varieties, Progr. Math. 342, Birkhauser Basel (2021) (pdf).
  16. L. Pertusi, Fourier-Mukai partners for very general special cubic fourfolds, Math. Research Letters (1) 28 (2021), 213-243 (pdf).
  17. L. Pertusi, On the double EPW sextic associated to a Gushel-Mukai fourfold, J. London Math. Soc. (1) 100 (2019), 83–106 (pdf).
  18. M. Ornaghi, L. Pertusi, Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative K3 surfaces, J. Noncommut. Geom. (2) 13 (2019), 499-515 (pdf).

Notes
  • Geometry of fourfolds with an admissible K3 subcategory (pdf).

    This is the text of my PhD thesis.

  • A Survey on Gushel-Mukai varieties (pdf).

    These notes were prepared for the reading seminar on Gushel-Mukai varieties at the Università degli studi di Milano in fall 2016.

  • Variétés Symplectiques Holomorphes et Conjecture du Cône (pdf).

    This is the text of my mémoire de M2 defended at the Université de Paris-Sud 11 under the supervision of François Charles.

Visiting positions
  • 01/04/2024-30/04/2024: Program on Noncommutative Algebraic Geometry, Mathamatical Sciences Research Institute, Berkeley, USA link.
  • 01/10/2023-30/11/2023: JTP Algebraic geometry: derived categories, Hodge theory, and Chow groups, Hausdorff Center, Bonn link.
  • 06/03/2023-11/03/2023: School of Mathematics, University of Edinburgh, invited by Arend Bayer.
  • 17/10/2022-21/10/2022: Université Paris-Saclay, Laboratoire de mathématiques d'Orsay, invited by Emanuele Macrì.
  • 08/03/2022-27/03/2022: Department of Mathematics University of California, Santa Barbara, invited by Xiaolei Zhao.
  • 09/12/2019-14/12/2019: Department of Mathematics, University of Warwick, invited by Chunyi Li.
  • 14/09/2019-21/09/2019: School of Mathematics, University of Edinburgh, invited by Arend Bayer.
  • July 18, 2019: Institut für Mathematik, Johannes Gutenberg University, Mainz, invited by Manfred Lehn.
  • 01/03/2019-31/07/2019: Max Planck Institute for Mathematics, Bonn, invited by Daniel Huybrechts.
  • 30/01/2019-13/02/2019: MSRI in Berkeley, California, and Department of Mathematics University of California, Santa Barbara, invited by Xiaolei Zhao.
  • 10/09/2018-20/09/2018: Department of Mathematics University of California, Santa Barbara, invited by Xiaolei Zhao.
  • 11/04/2018-27/04/2018: Department of Mathematics Northeastern University (Boston), invited by Xiaolei Zhao.
  • October 2017: Department of Mathematics Northeastern University (Boston), invited by Emanuele Macrì.
  • 31/05/2017-17/06/2017: Institut Henri Poincaré (Paris), invited by Emanuele Macrì.