Rubí E. Rodríguez

Linear irreducible representations of finite groups over number fields

Rodríguez, R.E.; Rojas, A.M.; Saavedra-Lagos, M.

Cubo Vol. 27 (2025), no. 2, 285–306.

The monodromy group of pq-covers

Carocca, Á.; Rodríguez, R.E.

Transform. Groups Vol. 30 (2025), no. 1, 147–164.

Period matrices for abelian varieties: algorithms and applications

Rodríguez, R.E.; Rojas, A.M.

J. Algebra Vol. 683 (2025), 364–388.

Finding a period matrix for a decomposed abelian variety

Rodríguez, R.E.; Rojas, A.M.

Manuscripta Math. Vol. 176 (2025), no. 3, Paper No. 39, 14 pp.

A Fruitful Interaction Between Algebra, Geometry, and Topology: Varieties Through the Lens of Group Actions

Rodríguez, R.E.; Rojas, A.M.

Notices Amer. Math. Soc. 71 (2024), no. 6, 715–723.

Abelian varieties and Riemann surfaces with generalized quaternion group action

Carocca, A.; Reyes-Carocca, S.; Rodríguez, R.E.

J. Pure Appl. Algebra Vol. 227 (2023), no. 11, Paper No. 107398, 26 pp.

Preface

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. v.

Introduction

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. 1–5.

Preliminaries and Basic Results

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. 7–38.

Prym Varieties

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. 39–78.

Covers of Degree 2 and 3

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. 79–94.

Covers of Degree 4

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. 95–172.

Some Series of Group Actions

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. 173–220.

Some Special Groups and Complete Decomposability

Lange, H.; Rodríguez, R.E.

Decomposition of Jacobians by Prym Varieties, Lecture Notes in Mathematics, 2310. Springer, 2022, pp. 221–246.

q-étale covers of cyclic p-gonal covers

Carocca, A.; Hidalgo, R.A.; Rodríguez, R.E.

J. Algebra 573 (2021), 393–409.

Decomposable Jacobians

Carocca, A.; Lange, H.; Rodríguez, R.E.

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 22 (2021), no. 4, 1673–1690.

Equations for abelian subvarieties

Carocca, A.; Lange, H.; Rodríguez, R.E.

J. Algebra Vol. 565 (2021), 82–97.

On Jacobians with group action and coverings

Reyes-Carocca, S.; Rodríguez, R.E.

Math. Z. Vol. 294 (2020), no. 1-2, 209–227.

Étale double covers of cyclic p-gonal covers

Carocca, A.; Lange, H.; Rodríguez, R.E.

J. Algebra Vol. 538 (2019), 110–126.

Abelian varieties with finite abelian group action

Carocca, A.; Lange, H.; Rodríguez, R.E.

Arch. Math. (Basel) Vol. 112 (2019), no. 6, 615–622.

A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties

Reyes-Carocca, S.; Rodríguez, R.E.

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 19 (2019), no. 2, 705–722.

Hecke algebras acting on abelian varieties

Carocca, A.; Rodríguez, R.E.

J. Pure Appl. Algebra Vol. 222 (2018), no. 9, 2626–2647.

On the connectedness of the singular locus of the moduli space of principally polarized abelian varieties

Reyes-Carocca, S.; Rodríguez, R.E.

Mosc. Math. J. Vol. 18 (2018), no. 3, 473–489.

A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree

Hidalgo, R.A.; Rodríguez, R.E.

Arch. Math. (Basel) Vol. 105 (2015), no. 4, 333–341.

Symmetric group actions on Jacobian varieties

Carocca, A.; Rodríguez, R.E.; Rojas, A.M.

Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces, Contemp. Math., 629, Amer. Math. Soc., 43–57.

Abelian varieties and group actions

Rodríguez, R.E.

Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces, Contemp. Math., 629, Amer. Math. Soc., 299–314.

Polarizations on abelian subvarieties of principally polarized abelian varieties with dihedral group actions

Lange, H.; Rodríguez, R.E.; Rojas, A.M.

Math. Z. Vol. 276 (2014), no. 1-2, 397–420.

Orbifolds with signature (0; k, kⁿ⁻¹, kⁿ, kⁿ)

Carocca, A.; Hidalgo, R.A.; Rodríguez, R.E.

Pacific J. Math. Vol. 263 (2013), no. 1, 53–85.

Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces

Behn, A.; Rodríguez, R.E.; Rojas, A.M.

J. Pure Appl. Algebra Vol. 217 (2013), no. 3, 409–426.

Complex analysis. In the spirit of Lipman Bers. Second edition

Gilman, J.P.; Kra, I.; Rodríguez, R.E.

Graduate Texts in Mathematics, 245. Springer, New York, 2013. xviii+306 pp. ISBN: 978-1-4419-7322-1.

Jacobians with complex multiplication

Carocca, A.; Lange, H.; Rodríguez, R.E.

Trans. Amer. Math. Soc. Vol. 363 (2011), no. 12, 6159–6175.

Characterizations of Jacobians of curves with automorphisms

Gómez González, E.; Muñoz Porras, J.M.; Plaza Martín, F.J.; Rodríguez, R.E.

Trans. Amer. Math. Soc. Vol. 362 (2010), no. 10, 5373–5394.

Prym and Prym-Tyurin varieties: a group-theoretical construction

Carocca, A.; Lange, H.; Rodríguez, R.E.; Rojas, A.M.

In the tradition of Ahlfors-Bers. V, Contemp. Math., 510, Amer. Math. Soc., 2010, 49–60.

Prym-Tyurin varieties via Hecke algebras

Carocca, A.; Lange, H.; Rodríguez, R.E.; Rojas, A.M.

J. Reine Angew. Math. Vol. 634 (2009), 209–234.

Prym-Tyurin varieties using self-products of groups

Carocca, A.; Lange, H.; Rodríguez, R.E.; Rojas, A.M.

J. Algebra Vol. 322 (2009), no. 4, 1251–1272.

Products of Jacobians as Prym-Tyurin varieties

Carocca, A.; Lange, H.; Rodríguez, R.E.; Rojas, A.M.

Geom. Dedicata Vol. 139 (2009), 219–231.

Generalized Humbert curves

Carocca, A.; González-Aguilera, V.; Hidalgo, R.A.; Rodríguez, R.E.

Israel J. Math. Vol. 164 (2008), 165–192.

Complex analysis. In the spirit of Lipman Bers

Gilman, J.P.; Kra, I.; Rodríguez, R.E.

Graduate Texts in Mathematics, Vol. 245. Springer, New York, 2007. xiv+220 pp. ISBN: 978-0-387-74714-9.

Jacobians with group actions and rational idempotents

Carocca, A.; Rodríguez, R.E.

J. Algebra 306 (2006), no. 2, 322–343.

Weyl groups and abelian varieties

Carocca, A.; González-Aguilera, V.; Rodríguez, R.E.

J. Group Theory 9 (2006), no. 2, 265–282.

Prym varieties and fourfold covers. II. The dihedral case

Recillas, S.; Rodríguez, R.E.

The geometry of Riemann surfaces and abelian varieties, Contemp. Math., 397, Amer. Math. Soc., 2006, 177–191.

Real Schottky uniformizations and Jacobians of May surfaces

Hidalgo, R.A.; Rodríguez, R.E.

Rev. Mat. Iberoamericana 20 (2004), no. 3, 627–646.

Dihedral groups acting on Jacobians

Carocca, A.; Recillas, S.; Rodríguez, R.E.

Complex manifolds and hyperbolic geometry, Contemp. Math., 311, Amer. Math. Soc., 2002, 41–77.

Families of irreducible principally polarized abelian varieties isomorphic to a product of elliptic curves

González-Aguilera, V.; Rodríguez, R.E.

Proc. Amer. Math. Soc. 128 (2000), no. 3, 629–636.

Complex geometry in Chile: panorama and perspectives

Rodríguez, R.E.

Complex geometry of groups (Olmué, 1998), Contemp. Math., 240, Amer. Math. Soc., 1999, 1–6.

Jacobians and representations of S₃

Recillas, S.; Rodríguez, R.E.

Workshop on Abelian Varieties and Theta Functions, Aportaciones Mat. Investig., 13, Soc. Mat. Mexicana, 1998, 117–140.

On principally polarized abelian varieties and Riemann surfaces associated to prisms and pyramids

González-Aguilera, V.; Rodríguez, R.E.

Lipa's legacy (New York, 1995), Contemp. Math., 211, Amer. Math. Soc., 1997, 269–284.

Fermat's quartic curve, Klein's curve and the tetrahedron

Rodríguez, R.E.; González-Aguilera, V.

Extremal Riemann surfaces (San Francisco, CA, 1995), Contemp. Math., 201, Amer. Math. Soc., 1997, 43–62.

Riemann surfaces, abelian varieties and automorphisms

Rodríguez, R.E.

Mat. Contemp. 7 (1994), 25–34.

Riemann surfaces and abelian varieties with an automorphism of prime order

Riera, G.; Rodríguez, R.E.

Duke Math. J. 69 (1993), no. 1, 199–217.

On automorphisms of curves and linear series

González, V.; Rodríguez, R.E.

Topics in algebraic geometry (Guanajuato, 1989), Aportaciones Mat., Soc. Mat. Mexicana, 1992, 101–105.

A pencil in M̃₆ with three points at the boundary

González-Aguilera, V.; Rodríguez, R.E.

Geom. Dedicata 42 (1992), no. 3, 255–265.

The period matrix of Bring's curve

Riera, G.; Rodríguez, R.E.

Pacific J. Math. 154 (1992), no. 1, 179–200.

Uniformization of surfaces of genus two with automorphisms

Riera, G.; Rodríguez, R.E.

Math. Ann. 282 (1988), no. 1, 51–67.

On Schottky-type groups with applications to Riemann surfaces with nodes. I, II

Rodríguez, R.E.

Complex Variables Theory Appl. 1 (1982/83), no. 2-3, 279–291, 293–310.