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PUBLICATIONS

Here is a list of some recent publications of the project

In press

Complete complex hypersurfaces in the ball come in foliations
Antonio Alarcón, J. Differential Geom., in press. ArXiv.

Holomorphic Legendrian curves in CP3 and superminimal surfaces in S4
Antonio Alarcón, Franc Forstnerič, and Finnur Lárusson, Geom. Topol., in press. ArXiv.

Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces
Antonio Alarcón and Francisco J. López, Anal. PDE, in press. ArXiv.

Constant mean curvature spheres in homogeneous three-spheres
William H. Meeks III, Pablo Mira, Joaquín Pérez, and Antonio Ros, J. Differential Geom., in press. ArXiv.

The embedded Calabi-Yau conjecture for finite genus
William H. Meeks III, Joaquín Pérez, and Antonio Ros, Duke Math. J., in press. ArXiv.

A construction of constant mean curvature surfaces in H2xR and the Krust property
Jesús Castro-Infantes, José M. Manzano, and Magdalena Rodríguez, Int. Math. Res. Not. IMRN, in press. ArXiv.

2021

The Calabi-Yau problem for Riemann surfaces with finite genus and countably many ends
Antonio Alarcón and Franc Forstnerič, Rev. Mat. Iberoam. 37 (2021), no. 4, 1399-1412. ArXiv.

Minimal Surfaces from a Complex Analytic Viewpoint
Antonio Alarcón, Franc Forstnerič, and Francisco J. López, Springer Monographs in Mathematics (2021), xiv+428 pp.
Springer International Publishing, Cham. ISBN: 978-3-030-69055-7 (print); 978-3-030-69056-4 (online).

On the asymptotic Plateau problem in \(\widetilde{SL}_2(\mathbb{R})\)
Jesús Castro-Infantes, J. Math. Anal. Appl. 507 (2021), no. 2, 125831, 23 pp. ArXiv.

Constant mean curvature spheres in homogeneous three-manifolds
William H. Meeks III, Pablo Mira, Joaquín Pérez, and Antonio Ros, Invent. Math. 224 (2021), 147-244. Full text view only. ArXiv.