Papers and Preprints

Preprints

• Pluriclosed manifolds with parallel Bismut torsion (with G. Barbaro, F. Pediconi), arXiv, 2024

Papers

• Projectively induced K\"ahler cones over regular Sasakian manifolds (with S. Marini, M. Zedda), to appear in Geom. Dedicata (arXiv) (Journal)

• On the invariant and anti-invariant cohomologies of hypercomplex manifolds, (with M. Lejmi), to appear in Transform. Groups. (arXiv) (Journal)

• HKT manifolds: Hodge theory, formality and balanced metrics, (with G. Gentili), Q. J. Math., 75, no. 2, (2024) 413-435. (arXiv) (Journal)

• Complex symplectic Lie algebras with large Abelian subalgebras, (with G. Bazzoni, M. Freibert, A. Latorre), Linear Algebra Appl. 677 (2023) 254-305. (arXiv) (Journal)

• Bott-Chern harmonic forms and primitive decompositions on compact almost K\"ahler manifolds, (with R. Piovani), Ann. Mat. Pura Appl. 202(6), (2023) pp. 2749–2765. (arXiv) (Journal)

• An integral condition involving $\overline\partial$-harmonic $(0,1)$-forms, (with A. Fino, A. Tomassini), Bull. Sci. Math. 183 (2023) Paper No. 103243 (arXiv) (Journal)

• Primitive decompositions of Dolbeault harmonic forms on compact almost-K\"ahler manifolds, (with A. Cattaneo, A. Tomassini), Rev. Union Mat. Argent., 67, no. 1, (2024) 301-316. (arXiv) (Journal)

• Almost-complex invariants of families of six-dimensional solvmanifolds, (with A. Tomassini), Complex Manifolds, 9, (2022) 238-260 (arXiv) (Journal)

• p-K\"ahler and balanced structures on nilmanifolds with nilpotent complex structures, (with T. Sferruzza), Ann. Glob. Anal. Geom. (2022), 62(4), pp. 869-881 (arXiv) (Journal)

• Hodge theory on almost-Hermitian manifolds, Proceeding  of the meeting ``Cohomology of Complex Manifolds and Special Structures II'', Levico Terme (Trento), July 5-9, 2021. Riv. Mat. Univ. Parma, Vol. 13, No. 2, 2022, 419-437. (Journal)

• Pluriclosed and Strominger Kähler-like metrics compatible with abelian complex structures, (with A. Fino, L. Vezzoni), Bull. London Math. Soc.  (2022), 54(5), pp. 1862-1872 (arXiv) (Journal)

• $\overline\partial$-Harmonic forms on $4$-dimensional almost-Hermitian manifolds, (with A. Tomassini), 2021, Math. Res. Lett., 30, no. 5, (2023), 1617-1637. (arXiv) (Journal)

• Some remarks  on  Hermitian manifolds satisfying Kähler-like conditions, (with A. Fino) Math. Z., 298(1), (2021) 49-68. (arXiv) (Journal) 

• Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms, (with D. Angella, T. Suwa, A. Tomassini) Complex Manifolds, 7, no. 1, (2020) 194-214 (arXiv) (Journal) 

• Variational problems in conformal geometry, (with D. Angella, N. Istrati, A. Otiman) Journal of Geometric Analysis 31(3), 3230-3251 (2021). (arXiv) (Journal) 

• Differential operators on almost-Hermitian manifolds and harmonic forms, (with A. Tomassini) Complex Manifolds, 7, no.1, (2020), 106-128. (arXiv) (Journal) 

• Relative Cech-Dolbeault homology and applications, Ann. Mat. Pura Appl., 199(3), (2020) 985-995. (arXiv) (Journal) 

• Symplectic cohomologies and deformations, (with A. Tomassini) Boll. Unione Mat. Ital., 12 (2019) no. 1-2, 221-237. (arXiv) (Journal) 

• Cohomologies of locally conformally symplectic manifolds and solvmanifolds, (with D. Angella, A. Otiman) Ann. Glob. Anal. Geom., 53, no. 1, (2018), 67-96.  (arXiv) (Journal) 

• Cohomological aspects on complex and symplectic manifolds,  Complex and Symplectic Geometry, Springer INdAM Series 21, Springer, 2017 (arXiv) (Book) 

• On geometric Bott-Chern formality and deformations, (with A. Tomassini) Ann. Mat. Pura Appl. (4), 196 (2017), no. 1, 349-362. (arXiv) (Journal) 

• Quantitative and qualitative cohomological properties for non-Kähler manifolds, (with D. Angella) Proc. Amer. Math. Soc., 145 (2017), no. 1, 273-285. (arXiv) (Journal) 

• On the cohomology of almost-complex and symplectic manifolds and proper surjective maps, (with A. Tomassini) Internat. J. Math., 27 (2016), no. 12, 1650103 (20 pages)  (arXiv) (Journal) 

Reports

• Harmonic forms on almost-Hermitian $4$-dimensional manifolds, Oberwolfach reports, 18 (2021), no. 2, pp. 1291–1345.

• Harmonic forms on almost-Hermitian manifolds, Oberwolfach Reports, 17, no. 4, 2020, 1657-1691.

• Cohomological properties of complex non-Kaehler manifolds,  Oberwolfach Reports, 15, no. 3, 2018, 2253-2302.

PhD Thesis

• Cohomological aspects on complex and symplectic manifolds, PhD Thesis, Università di Pisa, 2017.,