Alvaro Liendo

Profesor Titular  ·  Universidad de Talca

Publications

My papers and preprints are available on arXiv and my MathSciNet profile.

28. [28]
    Nash blowup fails to resolve singularities in dimensions four and higher  ·  with F. Castillo, D. Duarte, M. Leyton-Álvarez  ·  Annals of Mathematics (2) 203 (2026), no. 2
29. [27]
    On the characterization of affine toric varieties by their automorphism group  ·  with R. Díaz, A. Regeta  ·  Israel J. Math. (2026)
30. [26]
    Codimension two torus actions on the affine space  ·  with C. Petitjean  ·  J. Pure Appl. Algebra 229 (2025), no. 5, Paper No. 107911
31. [25]
    On a Torelli principle for automorphisms of Klein hypersurfaces  ·  with V. González-Aguilera, P. Montero, R. Villaflor Loyola  ·  Trans. Amer. Math. Soc. 377 (2024), no. 8, 5483–5511
32. [24]
    On the automorphism group of non-necessarily normal affine toric varieties  ·  with R. Díaz  ·  Int. Math. Res. Not. IMRN 2024, no. 2, 1624–1649
33. [23]
    On the liftability of the automorphism group of smooth hypersurfaces of the projective space  ·  with V. González-Aguilera, P. Montero  ·  Israel J. Math. 255 (2023), no. 1, 283–310
34. [22]
    Characterization of affine surfaces with a torus action by their automorphism groups  ·  with A. Regeta, C. Urech  ·  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 24 (2023), no. 1, 249–289
35. [21]
    Automorphisms of products of toric varieties  ·  with G. Lucchini Arteche  ·  Math. Res. Lett. 29 (2022), no. 2, 529–540
36. [20]
    Normal real affine varieties with circle actions  ·  with A. Dubouloz  ·  Ann. Inst. Fourier (Grenoble) 72 (2022), no. 5, 1831–1857
37. [19]
    On the characterization of Danielewski surfaces by their automorphism groups  ·  with A. Regeta, C. Urech  ·  Transform. Groups 27 (2022), no. 1, 181–187
38. [18]
    On toric ind-varieties and pro-affine semigroups  ·  with R. Díaz  ·  J. Algebra 569 (2021), 442–465
39. [17]
    Lie algebras of vertical derivations on semiaffine varieties with torus actions  ·  with I.V. Arzhantsev, T. Stasyuk  ·  J. Pure Appl. Algebra 225 (2021), no. 2, Paper No. 106499
40. [16]
    On the topology of rational $T$-varieties of complexity one  ·  with A. Laface, J. Moraga  ·  Mosc. Math. J. 20 (2020), no. 2, 405–422
41. [15]
    The fundamental group of a log terminal $T$-variety  ·  with A. Laface, J. Moraga  ·  Eur. J. Math. 5 (2019), no. 3, 937–957
42. [14]
    Easter Island volume [Editorial]  ·  with F. Bogomolov, I. Cheltsov, A. Dubouloz  ·  Eur. J. Math. 5 (2019), no. 3, 611–621
43. [13]
    Uniformly rational varieties with torus action  ·  with C. Petitjean  ·  Transform. Groups 24 (2019), no. 1, 149–153
44. [12]
    Smooth varieties with torus actions  ·  with C. Petitjean  ·  J. Algebra 490 (2017), 204–218
45. [11]
    Rationally integrable vector fields and rational additive group actions  ·  with A. Dubouloz  ·  Internat. J. Math. 27 (2016), no. 8, 1650060
46. [10]
    Additive group actions on affine $T$-varieties of complexity one in arbitrary characteristic  ·  with K. Langlois  ·  J. Algebra 449 (2016), 730–773
47. [9]
    The algebraic density property for affine toric varieties  ·  with F. Kutzschebauch, M. Leuenberger  ·  J. Pure Appl. Algebra 219 (2015), 3685–3700
48. [8]
    The automorphism group of a variety with torus action of complexity one  ·  with I.V. Arzhantsev, J. Hausen, E. Herppich  ·  Mosc. Math. J. 14 (2014), no. 3, 429–471
49. [7]
    On the order of an automorphism of a smooth hypersurface  ·  with V. González-Aguilera  ·  Israel J. Math. 197 (2013), no. 1, 29–49
50. [6]
    Normal singularities with torus actions  ·  with H. Süß  ·  Tohoku Math. J. (2) 65 (2013), no. 1, 105–130
51. [5]
    Polyhedral divisors and $\mathrm{SL}_2$-actions on affine $T$-varieties  ·  with I.V. Arzhantsev  ·  Michigan Math. J. 61 (2012), no. 4, 731–762
52. [4]
    Roots of the affine Cremona group  ·  Transform. Groups 16 (2011), no. 4, 1137–1142
53. [3]
    Automorphisms of prime order of smooth cubic $n$-folds  ·  with V. González-Aguilera  ·  Arch. Math. (Basel) 97 (2011), 25–37
54. [2]
    $\mathbb{G}_a$-actions of fiber type on affine $T$-varieties  ·  J. Algebra 324 (2010), no. 12, 3653–3665
55. [1]
    Affine $T$-varieties of complexity one and locally nilpotent derivations  ·  Transform. Groups 15 (2010), no. 2, 389–425

Preprints

28. [8]
    On a computational approach to the Nash blowup problem  ·  with F. Castillo, D. Duarte, M. Leyton-Álvarez  ·  arXiv:2511.17862
29. [7]
    Non-normalized Nash blowup fails to resolve singularities in dimension three  ·  with F. Castillo, D. Duarte, M. Leyton-Álvarez  ·  arXiv:2511.01772
30. [6]
    Automorphisms of prime power order of weighted hypersurfaces  ·  with A.J. Palomino  ·  arXiv:2507.13538
31. [5]
    Characteristic-free normalized Nash blowup of toric varieties  ·  with F. Castillo, D. Duarte, M. Leyton-Álvarez  ·  arXiv:2501.09811
32. [4]
    The automorphism groups of zero-dimensional monomial algebras  ·  with R. Díaz, G. Manzano-Flores, A. Regeta  ·  arXiv:2408.02197
33. [3]
    On rational multiplicative group actions  ·  with L. Cid  ·  arXiv:2208.05024
34. [2]
    Topologically integrable derivations and additive group actions on affine ind-schemes  ·  with R. Díaz, A. Dubouloz  ·  arXiv:2012.14302
35. [1]
    Cohen-Macaulay Du Bois singularities with a torus action of complexity one  ·  with A. Laface, J. Moraga  ·  arXiv:1806.08311

Students & Postdocs

Personal

With my family