Publications

Published


  • Samuel Boissière, Andrea Cattaneo, Dimitri Markushevich and Alessandra Sarti

On the nonsymplectic involutions of the Hilbert square of a K3 surface

Izvestiya: Mathematics, 83(4), p. 731 - 742, aug 2019.

https://arxiv.org/abs/1805.10481


  • Andrea Cattaneo

The Degree of the Tangent and Secant Variety to a Projective Surface

Advances in Geometry, 2019, Retrieved 18 December 2019 from doi:10.1515/advgeom-2019-0015

https://arxiv.org/abs/1705.08719


  • Andrea Cattaneo and Lie Fu

Finiteness of Klein actions and real structures on compact hyperkähler manifolds

Math., Ann. 375, p.1783–1822 (2019).

DOI:10.1007/s00208-019-01876-7.

https://arxiv.org/abs/1806.03864


  • Andrea Cattaneo, Alice Garbagnati and Matteo Penegini

Calabi-Yau 4-folds of Borcea-Voisin type from F-Theory

Pacific Journal of Mathematics, Vol. 299 (2019), No.1, 1-31.

DOI:10.2140/pjm.2019.299.1.

https://arxiv.org/abs/1706.01689


  • Andrea Cattaneo

Families of Calabi-Yau elliptic fibrations in P(L^a + L^b + O_B)

Rocky Mountain Journal of Mathematics, Volume 48, Number 7 (2018), 2135-2162

DOI: 10.1216/RMJ-2018-48-7-2135

https://arxiv.org/abs/1402.4383


  • Ben Anthes, Andrea Cattaneo, Sönke Rollenske and Adriano Tomassini

Del-delbar-Complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period map

Annals of Global Analysis and Geometry, 54(3), 377-398

DOI: 10.1007/s10455-018-9607-3

https://arxiv.org/abs/1711.05107


  • Andrea Cattaneo and Adriano Tomassini.

Complex Symplectic Structures and the del-delbar-lemma

Annali di Matematica Pura ed Applicata (1923-), 2018, 197.1: 139-151

DOI: 10.1007/s10231-017-0672-1

https://arxiv.org/abs/1612.08183


  • Andrea Cattaneo and Alice Garbagnati

Calabi-Yau 3-folds of Borcea-Voisin type and elliptic fibrations

Tohoku Mathematical Journal, Vol. 68, no. 4, Second Series.

DOI: 10.2748/tmj/1486177214

http://arxiv.org/abs/1312.3481


  • Samuel Boissière, Andrea Cattaneo, Marc Nieper-Wisskirchen and Alessandra Sarti

The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface

In the volume "K3 surfaces and their moduli", 1-15, Progr. Math., 315, Birkhäuser/Springer

DOI: 10.1007/978-3-319-29959-4_1

http://arxiv.org/abs/1410.8387


  • Andrea Cattaneo and Adriano Tomassini

Dolbeault-Massey triple products of low degree

Journal of Geometry and Physics, Volume 98, December 2015, Pages 300-311, ISSN 0393-0440

DOI: 10.1016/j.geomphys.2015.08.016

http://www.sciencedirect.com/science/article/pii/S0393044015002077


  • Sergio L. Cacciatori, Andrea Cattaneo and Bert van Geemen

A new CY elliptic fibration and tadpole cancellation

J. High Energy Phys. 2011, no. 10, 031, 20 pp

DOI: 10.1007/JHEP10(2011)031

http://arxiv.org/abs/1107.3589

Accepted for publication


  • Andrea Cattaneo, Antonella Nannicini and Adriano Tomassini

Kodaira dimension of almost Kähler manifolds and curvature of the canonical connection

https://arxiv.org/abs/1908.11328

Accepted for publication in Annali di Matematica Pura ed Applicata.


  • Chiara Camere, Alberto Cattaneo and Andrea Cattaneo

Non-symplectic involutions on manifolds of K3^{[n]}-type

https://arxiv.org/abs/1902.05397

Accepted for publication on Nagoya Mathematical Journal.


Preprints


  • Andrea Cattaneo and James Fullwood

On a Lefschetz-type phenomenon for elliptic Calabi-Yaus

https://arxiv.org/abs/1901.10146


  • Andrea Cattaneo

Crepant resolutions of Weierstrass threefolds and non-Kodaira fibres

http://arxiv.org/abs/1307.7997


  • Andrea Cattaneo

On elliptic Calabi-Yau threefolds in P^2-bundles

Ph.D thesis; supervisor Prof. Bert van Geemen

http://hdl.handle.net/2434/217720.


Now working on...

...automorphisms of Kodaira surfaces.

...Kodaira dimension for almost complex manifolds.

...potential density of rational points on algebraic manifolds.

...link between Lefschetz' hyperplane theorem and elliptic fibrations on elliptic Calabi-Yau manifolds.

...complex manifolds with holomorphic symplectic structures.