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Research interests

My research is about irreducible holomorphic symplectic manifolds, in particular about automorphisms and birational transformations on O'Grady's deformation type manifolds. Moreover I am interested in moduli spaces of sheaves on K3 surfaces and on abelian surfaces in the singular and in the smooth case.

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 and Davide Cesare Veniani, Symplectic rigidity of O'Grady's tenfolds. To appear in Proceedings AMS. (2024)  arxiv:2206.11594.
  7. Camilla Felisetti, Franco Giovenzana, Annalisa Grossi, O'Grady tenfolds as moduli spaces of sheaves. To appear in Forum of Mathematics, Sigma. (2024) arxiv:2303.07017. 
  8. Valeria Bertini, Annalisa Grossi, Mirko Mauri, Enrica Mazzon. Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms. (2024) arxiv:2401.13632.
  9. Emma Brakkee, Chiara Camere, Annalisa Grossi, Laura Pertusi, Giulia Saccà and Alexandra Viktorova. Irreducible symplectic varieties via relative Prym varieties. (2024) arxiv:2404.03157.
  10. Annalisa Grossi. Automorphisms of O'Grady's sixfolds. Ph.D Thesis 

Work in progress

  1. Nonsymplectic automorphisms of prime order of O'Grady's tenfolds and cubic fourfolds. Joint work with S. Billi.

  2. Singular Fano varieties of K3 type. With F.A. Denisi and V. Bertini.

  3. Towards a classification of Enriques manifolds. Joint work with S. Bili, F. Giovenzana and L. Giovenzana. 

  4. Cubics fourfolds with a symplectic automorphism of prime order. Joint work with S. BIlli and L. Marquand.

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

  6. Regenerations techniques for rationality problems on O'Grady's manifolds. Joint work with V. Bertini.

To see more or discuss possible work let's talk >>
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