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Full Description
Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucon, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties--in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.
Contents
A. E. A. Valdebenito and A. L. Tironi, Lower and upper bounds for some generalized arcs
D. Al Tabbaa, A. Grossi, and A. Sarti, Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus
R. Auffarth, G. Lucchini Arteche, and A. M. Rojas, A decomposition of the Jacobian of a Humbert-edge curve
I. Biswas and M. Upmeier, Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing
S. Boissiere, M. Nieper-Wisskirchen, and K. Tari, Some algebraic and geometric properties of hyper-Kahler fourfold symmetries
E. Bujalance and F. J. Cirre, On the existence of groups of automorphisms of compact Riemann and Klein surfaces
M. Calvez and B. Wiest, Hyperbolic structures of Artin-Tits groups of spherical type
A. Castorena, E. C. Mistretta, and H. Torres-Lopez, Linear stability for line bundles over curves
J. B. Frias-Medina and A. G. Zamora, The contribution of W. L. Edge to the study of Humbert's curves
E. Gasparim and F. Rubilar, Deformations of noncompact Calabi-Yau manifolds, families and diamonds
E. Girondo and C. Reyes, A brute force computer aided proof of an existence result about extremal hyperbolic surfaces
G. Gonzalez-Diez and S. Reyes-Carocca, Complex surfaces with mututally non-biholomorphic universal covers
P. Griffiths, Hodge theory and moduli
R. A. Hidalgo, Constructing Jacobian varieties with many elliptic curves
R. A. Hidalgo and S. Reyes-Carocca, Weil's Galois descent theorem from a computational point of view
E. Kani, Subcovers of curves and modui spaces
A. L. M. Castaneda and J. I. Iglesias-Curto, Algebraic geometry and convolutional codes
L. M. Navas Vicente and F. J. Plaza Martin, Adelic and idelic pairings related to Weil reciprocity on algebraic curves
H. Pasten, Remarks on the size of the Tamagawa product
