ALVARO LIENDO

Publications

Papers

  1. [33]The automorphism groups of zero-dimensional monomial algebras · with R. Díaz, G. Manzano-Flores, A. Regeta · Ann. Inst. Fourier (Grenoble) (to appear)
  2. [32]Non-normalized Nash blowup fails to resolve singularities in dimension three · with F. Castillo, D. Duarte, M. Leyton-Álvarez · Compos. Math. (to appear)
  3. [31]On a computational approach to the Nash blowup problem · with F. Castillo, D. Duarte, M. Leyton-Álvarez · Exp. Math. (2026)
  4. [30]Characteristic-free normalized Nash blowup of toric varieties · with F. Castillo, D. Duarte, M. Leyton-Álvarez · J. Lond. Math. Soc. (2) 114 (2026), no. 4
  5. [29]Automorphisms of prime power order of weighted hypersurfaces · with A.J. Palomino · Transform. Groups (2026)
  6. [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
  7. [27]On the characterization of affine toric varieties by their automorphism group · with R. Díaz, A. Regeta · Israel J. Math. (2026)
  8. [26]Codimension two torus actions on the affine space · with C. Petitjean · J. Pure Appl. Algebra 229 (2025), no. 5, Paper No. 107911
  9. [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
  10. [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
  11. [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
  12. [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
  13. [21]Automorphisms of products of toric varieties · with G. Lucchini Arteche · Math. Res. Lett. 29 (2022), no. 2, 529–540
  14. [20]Normal real affine varieties with circle actions · with A. Dubouloz · Ann. Inst. Fourier (Grenoble) 72 (2022), no. 5, 1831–1857
  15. [19]On the characterization of Danielewski surfaces by their automorphism groups · with A. Regeta, C. Urech · Transform. Groups 27 (2022), no. 1, 181–187
  16. [18]On toric ind-varieties and pro-affine semigroups · with R. Díaz · J. Algebra 569 (2021), 442–465
  17. [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
  18. [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
  19. [15]The fundamental group of a log terminal T-variety · with A. Laface, J. Moraga · Eur. J. Math. 5 (2019), no. 3, 937–957
  20. [14]Easter Island volume [Editorial] · with F. Bogomolov, I. Cheltsov, A. Dubouloz · Eur. J. Math. 5 (2019), no. 3, 611–621
  21. [13]Uniformly rational varieties with torus action · with C. Petitjean · Transform. Groups 24 (2019), no. 1, 149–153
  22. [12]Smooth varieties with torus actions · with C. Petitjean · J. Algebra 490 (2017), 204–218
  23. [11]Rationally integrable vector fields and rational additive group actions · with A. Dubouloz · Internat. J. Math. 27 (2016), no. 8, 1650060
  24. [10]Additive group actions on affine T-varieties of complexity one in arbitrary characteristic · with K. Langlois · J. Algebra 449 (2016), 730–773
  25. [9]The algebraic density property for affine toric varieties · with F. Kutzschebauch, M. Leuenberger · J. Pure Appl. Algebra 219 (2015), 3685–3700
  26. [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
  27. [7]On the order of an automorphism of a smooth hypersurface · with V. González-Aguilera · Israel J. Math. 197 (2013), no. 1, 29–49
  28. [6]Normal singularities with torus actions · with H. Süß · Tohoku Math. J. (2) 65 (2013), no. 1, 105–130
  29. [5]Polyhedral divisors and SL2-actions on affine T-varieties · with I.V. Arzhantsev · Michigan Math. J. 61 (2012), no. 4, 731–762
  30. [4]Roots of the affine Cremona group · Transform. Groups 16 (2011), no. 4, 1137–1142
  31. [3]Automorphisms of prime order of smooth cubic n-folds · with V. González-Aguilera · Arch. Math. (Basel) 97 (2011), 25–37
  32. [2]Ga-actions of fiber type on affine T-varieties · J. Algebra 324 (2010), no. 12, 3653–3665
  33. [1]Affine T-varieties of complexity one and locally nilpotent derivations · Transform. Groups 15 (2010), no. 2, 389–425

Preprints

  1. [7]Automorphisms and Hodge isometries of surfaces with K2 = pg = 1 · with J. Duque Franco, P. Montero · arXiv:2610.33364
  2. [6]Twisted forms of classical hypersurfaces · with M. Vásquez · arXiv:2608.13896
  3. [5]Automorphism groups of rigid complete intersections · with J. Duque Franco, A.J. Palomino · arXiv:2607.12139
  4. [4]A one-step counterexample to the normalized Nash blowup conjecture · with A.J. Palomino, G. Rodríguez · arXiv:2604.07519
  5. [3]On rational multiplicative group actions · with L. Cid · arXiv:2208.05024
  6. [2]Topologically integrable derivations and additive group actions on affine ind-schemes · with R. Díaz, A. Dubouloz · arXiv:2012.14302
  7. [1]Cohen-Macaulay Du Bois singularities with a torus action of complexity one · with A. Laface, J. Moraga · arXiv:1806.08311