PUBLICATIONS


  1. A. Arsie and C.Galati: “Geometric k-normality of curves and applications”, Le Matematiche, LVIII (2003), II, p. 179-199.

  1. C.Galati: "Numero di moduli di famiglie di curve piane con nodi e cuspidi", Bollettino dell'Unione Matematica Italiana, serie A, 9 (2006), 243-246.

  1. C. Galati: ”Number of moduli of irreducible families of plane curves with nodes and cusps”, Collect. Math. 57 (2006), 3, 319-346.

  1. C. Galati: ”On the number of moduli of families of plane sextics with six cusps”, Annali di Matematica Pura e Applicata, 188 (2009), 2, 359–368.

  1. C. Galati:”Degenerating curves and surfaces: first results”, Rendiconti del Circolo Matematico di Palermo 58 (2009), 3, 211-243.

  1. C. Galati: "On the existence of curves with a triple point on a K3 surface", Rend. Lincei Mat. Appl. 23 (2012), 3, 295–317.

  1. C. Galati, A. L. Knutsen: “Seshadri constants of $K3$ surfaces of degrees 6 and 8”, Int. Math. Res. Not., 17 (2013), 4072-4084.

  1. C. Galati, A. L. Knutsen: “On the existence of curves with A_k- singulatiries on K3 surfaces”, Math. Res. Lett. 21 (2014), 5, 1069-1109.

  1. C. Ciliberto, F. Flamini, C. Galati, A. L. Knutsen: “A note on deformations of regular embeddings”, Rend. Circ. Mat. Palermo, 66 (2017), 53-63, with erratum in Rend. Circ. Mat. Palermo, 66 (2017), 65-67.

  1. C. Ciliberto, F. Flamini, C. Galati, A. L. Knutsen: "Moduli of nodal curves on K3 surfaces", Adv. Math., vol. 309 (2017), 624-654.

  2. C. Ciliberto, F. Flamini, C. Galati, A. L. Knutsen: “Degeneration of differentials and moduli of nodal curves on K3 surfaces”, in “Local and global methods in algebraic geometry”, CONT. MATH. vol 712(2108), AMS, 59-79 (eds. N. Budur, T. de Fernex, R. Docampo, K. Tucker).

  3. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “A note on Severi varieties of nodal curves on Enriques surfaces”, in “Birational Geometry and Moduli Spaces.” SPRINGER INDAM SERIES, vol. 39, p. 29-36, ISBN: 978-3-030-37114-2, ISSN: 2281-518X, doi: 10.1007/978-3-030-37114-2

  4. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “Moduli of curves on Enriques surfaces”, Adv. Math., 365 (2020), doi: 10.1016/j.aim.2020.107010.

  5. C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “On the locus of Prym curves where the Prym--canonical map is not an embedding”, Ark. Mat., 58 (2020), 71–85, doi:10.4310/ARKIV.2020.v58.n1.a5.



PREPRINTS


1) C. Ciliberto, T. Dedieu, C. Galati, A. L. Knutsen: “Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces”, arXiv:1809.10569


PUBLICATIONS without referee


  1. C. Galati, A. L. Knutsen, A. Sarti.: "Singular Curves on K3 Surfaces and Hyperkahler Manifolds", Oberwolfach Reports, EMS Publishing House, 12 (2015), 4, 2939–2967.

  2. C. Ciliberto, Th. Dedieu, F. Flamini, R. Pardini, C. Galati, S. Rollenske. (2018). Open problems. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol. 11, p. 5-11


WORK IN PROGRESS


1) ”Deformation of surfaces singularities ”, in collaboration with C. Ciliberto.


2) "Nodal Curves on Enriques surfaces" by C. Ciliberto, T. Dedieu , C. Galati, and A.L.Knutsen.