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Research interests

Algebraic Geometry, Hyperkähler Geometry, Moduli Spaces, Hodge Theory, Singularities, Lattice Theory.

Preprints and publications

  1. Dima Al Tabbaa, Annalisa Grossi and Alessandra Sarti, Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus, Geometry at the Frontier, Contemporary Mathematics, vol. 766, Amer. Math. Soc., Providence, RI, 2021, pp. 17-30. 
  2. Annalisa Grossi, Induced birational transformations on O'Grady's sixfolds. Journal of The London Mathematical Society, vol.105 (2022), no. 1, pp. 665-690.
  3. Annalisa Grossi, Claudio Onorati and Davide Cesare Veniani, Symplectic birational transformations of finite order on O'Grady's sixfolds . Kyoto Journal of Mathematics. (2023), no. 3, pp. 615–639. 
  4. Annalisa Grossi, Nonsymplectic automorphisms of prime order on O'Grady's sixfolds. Revista Matemàtica Iberoamericana, vol. 38 (2022), no. 4, pp. 1199–1218. 
  5. Annalisa Grossi and Valeria Bertini, Rational curves on primitive symplectic varieties of OG6 singular type. Mathematische Zeitschrift. Vol. 304 (2023), no. 36.
  6.  Luca Giovenzana, Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani. Symplectic rigidity of O'Grady's tenfolds.  Proc. Amer. Math. Soc. 152 (2024), no. 7, 2813--2820.
  7. Camilla Felisetti, Franco Giovenzana, Annalisa Grossi. O'Grady tenfolds as moduli spaces of sheaves. Forum of Mathematics, Sigma, 12 e:60 (2024) pp. 1–20
  8. Valeria Bertini, Annalisa Grossi, Mirko Mauri, Enrica Mazzon. Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms. In publication in EpiGa (Épijournal de Géométrie Algébrique) (2024) arxiv:2401.13632.
  9. Simone Billi, Annalisa Grossi. Non-symplectic automorphisms of prime order of O'Grady's tenfolds and cubic fourfolds. In publication in Int. Math. Res. Not (2024) arxiv:2405.05932 
  10. Emma Brakkee, Chiara Camere, Annalisa Grossi, Laura Pertusi, Giulia Saccà and Alexandra Viktorova. Irreducible symplectic varieties via relative Prym varieties. (2024) arxiv:2404.03157. Submitted.
  11. S. Billi, A. Grossi, L. Marquand. Cubic fourfolds with a symplectic automorphisms of prime order. Submitted (2025) arxiv:2501.03869
  12. S. Billi, F. Giovenzana, L. Giovenzana, A. Grossi. On the non-existence of Enriques manifolds from OG10 type manifolds. Submitted (2025) arxiv:2501.06893
  13. Annalisa Grossi. Automorphisms of O'Grady's sixfolds. Ph.D Thesis 

Work in progress

  1. Singular Fano varieties of K3 type. With V. Bertini F.A. Denisi , E. Fatighenti.

  2. Branes on HK manifolds. With L. Fu and S. Billi.

  3. A birational symplectic involution of a double EPW sextic. With G. Mongardi.

  4. An irreducible symplectic variety with big second Betti number. Joint work with P. Beri and A.D. Ríos Ortiz.

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