• The Fano variety of lines on singular cyclic cubic fourfolds

[S. Boissière, P. Comparin, L. Li Bassi], arXiv:2312.15317

• On strictly elliptic K3 surfaces and del Pezzo surfaces

[P. Comparin, P. Montero, Y. Prieto-Montañez, S. Troncoso], accepted, Rev. Mat. Iberoam.

• Irreducible Holomorphic Symplectic manifolds with the action of $\mathbb Z_3^4:\mathcal A_6$

[P. Comparin, R. Demelle, P. Quezada Mora], accepted,  Journal of Mathematical Society of Japan

• Non symplectic automorphisms of order multiple of seven on K3 surfaces

[R. Bell, P. Comparin, J. Li, A. Rincón-Hidalgo, A. Sarti, A. Zanardini], Journal of Pure and Applied Algebra 228 (2024), no.4, Paper No. 107517, 39 pp.

• K3 surfaces with action of the group $M_{20}$

[P. Comparin, R. Demelle], Bull. Lond. Math. Soc. 55 (2023), no. 5, 2456–2480.

• Non-symplectic automorphisms of K3 surfaces with one-dimensional moduli  space

[M. Artebani, P. Comparin, M.E. Valdés], arXiv:2009.05415, Rev. Mat. Iberoam. 38 (2022), no. 4, 1161–1198

• On some K3 surfaces with order sixteen automorphism

[P. Comparin, N. Priddis, A. Sarti], Math. Nachr. 2022;295:2104–2129.

• Order 9 automorphisms of K3 surfaces

[M. Artebani, P. Comparin, M.E. Valdés],  Magma  Communications in Algebra, Issue 9 - Volume 48 (2020) pp 3661-3672

• Mirror symmetry for K3 surfaces

[C.J. Bott, P. Comparin, N. Priddis ], Geometriae Dedicata 212 (2021), 21-55.

• Quasismooth hypersurfaces in toric varieties

[M. Artebani, P. Comparin, R. Guilbot], Proceedings of the American Mathematical Society 147 (2019), pp 4565-4579 

• BHK mirror symmetry for K3 surfaces with non-symplectic automorphism

[P. Comparin, N. Priddis], Journal of Mathematical Society of Japan, Vol 73,  No. 2 (2021), pp 403-431

• Families of Calabi-Yau hypersurfaces in Q-Fano toric varieties

[M. Artebani, P. Comparin, R. Guilbot], Journal de mathématiques pures et appliquées 106 (2016), pp. 319-341      Magma

• The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order 

[P. Comparin, C. Lyons, N. Priddis and R. Suggs], Advances in Theoretical and Mathematical Physics, Vol. 18, No. 6 (2014), pp. 1335-1368.

• Van Geemen-Sarti involutions and elliptic fibrations on K3 surfaces double cover of P^2

[P. Comparin and A. Garbagnati], J. Math. Soc. Japan, Vol. 66, No. 2 (2014), pp. 479-522.