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Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties
| Softcover ISBN: | 978-1-4704-5327-5 |
| Product Code: | CONM/766 |
| List Price: | $122.00 |
| MAA Member Price: | $109.80 |
| AMS Member Price: | $97.60 |
| eBook ISBN: | 978-1-4704-6422-6 |
| Product Code: | CONM/766.E |
| List Price: | $122.00 |
| MAA Member Price: | $109.80 |
| AMS Member Price: | $97.60 |
| Softcover ISBN: | 978-1-4704-5327-5 |
| eBook: ISBN: | 978-1-4704-6422-6 |
| Product Code: | CONM/766.B |
| List Price: | $244.00 $183.00 |
| MAA Member Price: | $219.60 $164.70 |
| AMS Member Price: | $195.20 $146.40 |
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Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties
| Softcover ISBN: | 978-1-4704-5327-5 |
| Product Code: | CONM/766 |
| List Price: | $122.00 |
| MAA Member Price: | $109.80 |
| AMS Member Price: | $97.60 |
| eBook ISBN: | 978-1-4704-6422-6 |
| Product Code: | CONM/766.E |
| List Price: | $122.00 |
| MAA Member Price: | $109.80 |
| AMS Member Price: | $97.60 |
| Softcover ISBN: | 978-1-4704-5327-5 |
| eBook ISBN: | 978-1-4704-6422-6 |
| Product Code: | CONM/766.B |
| List Price: | $244.00 $183.00 |
| MAA Member Price: | $219.60 $164.70 |
| AMS Member Price: | $195.20 $146.40 |
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Book DetailsContemporary MathematicsVolume: 766; 2021; 282 ppMSC: Primary 14; 30
Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, 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.
ReadershipGraduate students and research mathematicians interested in algebraic geometry.
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Table of Contents
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Articles
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Alexis E. Almendras Valdebenito and Andrea Luigi Tironi — Lower and upper bounds for some generalized arcs
-
Dima Al Tabbaa, Annalisa Grossi and Alessandra Sarti — Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus
-
Robert Auffarth, Giancarlo Lucchini Arteche and Anita M. Rojas — A decomposition of the Jacobian of a Humbert-Edge curve
-
Indranil Biswas and Markus Upmeier — Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing
-
Samuel Boissière, Marc Nieper-Wißkirchen and Kévin Tari — Some algebraic and geometric properties of hyper-Kähler fourfold symmetries
-
E. Bujalance and F. J. Cirre — On the existence of groups of automorphisms of compact Riemann and Klein surfaces
-
Matthieu Calvez and Bert Wiest — Hyperbolic structures for Artin-Tits groups of spherical type
-
Abel Castorena, E.C. Mistretta and H. Torres-López — Linear stability for line bundles over curves
-
Juan B. Frías-Medina and Alexis G. Zamora — The contribution of W. L. Edge to the study of Humbert’s curves
-
Elizabeth Gasparim and Francisco Rubilar — Deformations of noncompact Calabi–Yau manifolds, families and diamonds
-
Ernesto Girondo and Cristian Reyes — A brute force computer aided proof of an existence result about extremal hyperbolic surfaces
-
Gabino González-Diez and Sebastián Reyes-Carocca — Complex surfaces with mutually non-biholomorphic universal covers
-
Phillip Griffiths — Hodge theory and moduli
-
Rubén A. Hidalgo — Constructing Jacobian varieties with many elliptic curves
-
Rubén A. Hidalgo and Sebastián Reyes-Carocca — Weil’s Galois descent theorem from a computational point of view
-
Ernst Kani — Subcovers of curves and moduli spaces
-
Ángel Luis Muñoz Castañeda and José I. Iglesias-Curto — Algebraic geometry and convolutional codes
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Luis Manuel Navas Vicente and Francisco J. Plaza Martín — Adelic and idelic pairings related to Weil reciprocity on algebraic curves
-
Hector Pasten — Remarks on the size of the Tamagawa product
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 766; 2021; 282 pp
MSC: Primary 14; 30
Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, 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.
Readership
Graduate students and research mathematicians interested in algebraic geometry.
-
Articles
-
Alexis E. Almendras Valdebenito and Andrea Luigi Tironi — Lower and upper bounds for some generalized arcs
-
Dima Al Tabbaa, Annalisa Grossi and Alessandra Sarti — Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus
-
Robert Auffarth, Giancarlo Lucchini Arteche and Anita M. Rojas — A decomposition of the Jacobian of a Humbert-Edge curve
-
Indranil Biswas and Markus Upmeier — Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing
-
Samuel Boissière, Marc Nieper-Wißkirchen and Kévin Tari — Some algebraic and geometric properties of hyper-Kähler fourfold symmetries
-
E. Bujalance and F. J. Cirre — On the existence of groups of automorphisms of compact Riemann and Klein surfaces
-
Matthieu Calvez and Bert Wiest — Hyperbolic structures for Artin-Tits groups of spherical type
-
Abel Castorena, E.C. Mistretta and H. Torres-López — Linear stability for line bundles over curves
-
Juan B. Frías-Medina and Alexis G. Zamora — The contribution of W. L. Edge to the study of Humbert’s curves
-
Elizabeth Gasparim and Francisco Rubilar — Deformations of noncompact Calabi–Yau manifolds, families and diamonds
-
Ernesto Girondo and Cristian Reyes — A brute force computer aided proof of an existence result about extremal hyperbolic surfaces
-
Gabino González-Diez and Sebastián Reyes-Carocca — Complex surfaces with mutually non-biholomorphic universal covers
-
Phillip Griffiths — Hodge theory and moduli
-
Rubén A. Hidalgo — Constructing Jacobian varieties with many elliptic curves
-
Rubén A. Hidalgo and Sebastián Reyes-Carocca — Weil’s Galois descent theorem from a computational point of view
-
Ernst Kani — Subcovers of curves and moduli spaces
-
Ángel Luis Muñoz Castañeda and José I. Iglesias-Curto — Algebraic geometry and convolutional codes
-
Luis Manuel Navas Vicente and Francisco J. Plaza Martín — Adelic and idelic pairings related to Weil reciprocity on algebraic curves
-
Hector Pasten — Remarks on the size of the Tamagawa product
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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