Preprints


Constructions of Kummer structures on generalized Kummer surfaces

With Alessandra Sarti


A refinement of Bézout’s Lemma and order 3 elements in some quaternion algebras over Q

With Donald Cartwright


Number of Kummer structures and Moduli spaces of generalized Kummer surfaces


An atlas of K3 surfaces with finite automorphism group 

(Zoom Algebraic Geometry slides)




Publications


On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations

To appear in the International Journal  of Mathematics


Mori dream K3 surfaces of Picard number 4: projective models and Cox rings

To appear in Israel Journal of Mathematics

With Michela Artebani and Claudia Correa Deisler


A special configuration of 12 conics and generalized Kummer surfaces

To appear in Manuscripta Mathematica

With David Kohel and Alessandra Sarti (Zoom Lisbon seminar slides)


Explicit Nikulin configurations on Kummer surfaces

With Alessandra Sarti, to appear in Advances in Geometry


Conic configurations via dual of quartic curves

Rocky Mountain Journal of Mathematics, Vol. 51, (2021), No. 2, 721--732


The Bolza curve and some orbifold ball quotient surfaces

Michigan Math. J. 70 (2021) 423--448

with Vincent Koziarz and Carlos Rito


Construction of Nikulin configurations on some Kummer surfaces and applications

Math. Annalen 373 (2019), no 11, 7651--7668. With A. Sarti


A pair of rigid surfaces with pg=q=2 and K^2=8 whose universal cover is not the bidisk

Int. Math. Res. Not., 2020, no. 11, 3453--3493. With Francesco Polizzi and Carlos Rito


Explicit Schoen surfaces

Algebraic Geometry 6 (4) 2019, 410--426. With Carlos Rito and Alessandra Sarti


On generalized Kummer surfaces and the orbifold Bogomolov-Miyaoka-Yau inequality

Trans. Amer. Math. Soc. Vol 371, n.11, June 2019, 7651--7688


Curves with low Harbourne constants on Abelian and Kummer surfaces

Rend. Circ. Mat. Palermo (2) 67 (2018), no. 3, 481--491


Irrationality of generic cubic threefold via Weil’s conjectures

Communications in Contemporary Mathematics, 1750078 (12 pages),

With Dimitri Markushevich


Bounded negativity, Harbourne constants and transversal arrangements of curves

Annales de l’institut Fourier 67, 6 (2017), pp 2719--2735.

With Piotr Pokora et Tomasz Szemberg


On the Cohomology of the Stover Surface

Experimental Mathematics Vol 26 (2017), 490--495. With Amir Dzambic


Lines on cubic hypersurfaces over finite fields

Fichier contenant les algorithmes implémentés en MAGMA

In «Geometry over non closed fields», F. Bogomolov, B. Hassett et Y. Tschinkel Editors ; Simons Publication Series (2017), pp. 19--51. With Olivier Debarre and Antonio Laface


Bounded negativity, Miyaoka-Sakai inequality and elliptic curve configurations

Int. Math. Res. Not (2017) no 8, 2480--2496


Involutions of second kind on Shimura surfaces and surfaces of general type with $q=p_g=0$

Asian J. Of Math. Vol 21, No 4 (2017) 775--790. With Amir Dzambic


On finiteness of curves with high canonical degree on a surface

Geom. Dedicata 183, (2016) 33--42. With Ciro Ciliberto


Chern slopes of simply connected complex surfaces of general type

are dense in [2,3]

Annals of Math. 182 (2015), 286--306. With Giancarlo Urzua


On Schoen surfaces

Comment. Math. Helv. 90 (2015), no. 1, 59--74.

With Ciro Ciliberto and Margarida Mendes Lopes


On the PSL2(19)-invariant cubic sevenfold

J. of Algebra 413 (2014), 1--14. With Atanas Iliev


Canonical surfaces with big cotangent bundle

Duke Math. J. 163 (2014), no. 7, 1337--1351. With Erwan Rousseau


Automorphisms and Quotients of Fake Quadrics

Pacific Journal of Mathematics 267 (2014), no. 1, 91--120. With Amir Dzambic


Negative Curves on Algebraic Surfaces

Duke Math. J. 162 (2013), 1877--1894.

With Th Bauer, B. Harbourne, A.L. Knutsen, A. Küronya, S. Müller-Stach, T. Szemberg


On the hyperbolicity of surfaces of general type with small c_1^2

Journal of the Lond. Math. Soc. (2013) 87 (2): 453--477. With Erwan Rousseau


On the Tate conjecture for the fano surfaces of cubic threefolds

Journal of Number Theory 133 (2013), 2320--2323


Quotients of Fano surfaces

Rend. Lincei Mat. 23 (2012), 1--25


The Fano surface of the Fermat cubic threefold, the del Pezzo surface of degree 5 and a ball quotient

Proc. of the AMS, 139 (2011), 3405--3412.

      

Fano Surfaces with 12 or 30 Elliptic Curves  

Michigan. Math. J., Vol. 60, (2011), 313--329.


Genus 2 curve configurations on Fano surfaces

Com. Math. Univ. St. Pauli, (2010), Vol 59, No. 1, 51--64.


Elliptic curve configurations on Fano surfaces

Manuscripta Mathematica,  129 (2009), no. 3, 381--399.


L'application cotangente des surfaces de type général

Geometriae Dedicata,  142 (2009), 151--171.


The Fano surface of the Klein cubic

Math. Kyoto Univ., 49 (2009), 113--129.


Divisor arrangements and Algebraic surfaces

Comment. Math. Univ. St. Pauli, 57 (2008), no. 1, 13--21.


Courbes elliptiques, fibrations et automorphismes

des surfaces de Fano.pdf

C. R. Acad. Sci. Paris, Ser. I 345 (2007), 209--212.