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.
Preface |
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vii | |
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Lower and upper bounds for some generalized arcs |
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1 | (16) |
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Alexis E. Almendras Valdebenito |
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Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus |
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17 | (14) |
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A decomposition of the Jacobian of a Humbert-Edge curve |
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31 | (8) |
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Giancarlo Lucchini Arteche |
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Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing |
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39 | (18) |
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Some algebraic and geometric properties of hyper-Kahler fourfold symmetries |
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57 | (14) |
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On the existence of groups of automorphisms of compact Riemann and Klein surfaces |
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71 | (12) |
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Hyperbolic structures for Artin-Tits groups of spherical type |
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83 | (16) |
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Linear stability for line bundles over curves |
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99 | (10) |
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The contribution of W. L. Edge to the study of Humbert's curves |
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109 | (8) |
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Deformations of noncompact Calabi-Yau manifolds, families and diamonds |
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117 | (16) |
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A brute force computer aided proof of an existence result about extremal hyperbolic surfaces |
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133 | (20) |
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Complex surfaces with mutually non-biholomorphic universal covers |
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153 | (10) |
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163 | (38) |
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Constructing Jacobian varieties with many elliptic curves |
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201 | (16) |
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Weil's Galois descent theorem from a computational point of view |
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217 | (12) |
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Subcovers of curves and moduli spaces |
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229 | (22) |
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Algebraic geometry and convolutional codes |
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251 | (10) |
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Angel Luis Munoz Castaneda |
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Adelic and idelic pairings related to Weil reciprocity on algebraic curves |
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261 | (16) |
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Luis Manuel Navas Vicente |
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Francisco J. Plaza Martin |
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Remarks on the size of the Tamagawa product |
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277 | |
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Paola Comparin, Universidad de La Frontera, Temuco, Chile.
Eduardo Esteves, IMPA, Rio de Janeiro, Brazil.
Herbert Lange, FAU, Erlangen-Nurnberg, Germany.
Sebastian Reyes-Carocca, Universidad de la Frontera, Temuco, Chile.
Rubi E. Rodriguez, Universidad de la Frontera, Temuco, Chile.