Mariano Suárez-Álvarez

Papers & preprints

Papers and preprints

  1. Mariano Suárez-Álvarez: .The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology. arXiv:2502.04546.
  2. Mariano Suárez-Álvarez: On the derivations and automorphisms of the algebra $k\langle x,y\rangle/(yx−xy−x^N)$. arXiv:2402.11962.
  3. Cristian Chaparro, Sybille Schroll, Andrea Solotar, Mariano Suárez-Álvarez: The Hochschild cohomology and the Tamarkin-Tsygan calculus of gentle algebras, Journal of Algebra 708 (2026), 138–231. arXiv:2311.08003, DOI:10.1016/j.jalgebra.2026.04.058.
  4. Mariano Suárez-Álvarez: A simple homological characterization of string algebras of finite representation type. Algebr. Represent. Theor. 26, 1759–1772 (2023). arXiv:2105.02948, DOI:10.1007/s10468-022-10154-1.
  5. Mariano Suárez-Álvarez: A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket. J. Pure Appl. Algebra 221 no. 8 (2017), 1981–1998. arXiv:1604.06507, DOI:10.1016/j.jpaa.2016.10.015,
  6. Francisco Kordon, Mariano Suárez-Álvarez: Hochschild cohomology of algebras of differential operators tangent to a central arrangement of lines. Documenta Mathematica 27 (2022) 869–916. arXiv:1807.10372, DOI:10.4171/dm/887.
  7. Mariano Suárez-Álvarez: The algebra of differential operators tangent to a hyperplane arrangement. arXiv:1806.05410.
  8. Mariano Suárez-Álvarez: Cyclic extensions are radical. Amer. Math. Monthly 123 no. 2 (2016) 160. arXiv:1604.06794, DOI:10.4169/amer.math.monthly.123.2.160.
  9. Mariano Suárez-Álvarez: Untwisting algebras with van den Bergh duality into Calabi-Yau algebras. Proc. Amer. Math. Soc. arXiv:1311.3339, DOI:10.1090/proc/13634.
  10. Mariano Suárez-Álvarez, Quimey Vivas: Automorphisms and isomorphisms of quantum generalized Weyl algebras. J. Algebra 424 (2015), 540–552. arXiv:1206.4417, DOI:10.1016/j.jalgebra.2014.08.045, .
  11. Estanislao Herscovich, Andrea Solotar, Mariano Suárez-Álvarez: PBW-deformations and deformations à la Gerstenhaber of $N$-Koszul algebras. J. Noncommut. Geom. 8 (2014), no. 2, 505–539. arXiv:1105.0211.
  12. Andrea Solotar, Mariano Suárez-Álvarez, Quimey Vivas: Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case. Ann. Inst. Fourier (Grenoble) 63 (2013), no. 3, 923–956. arXiv:1106.5289.
  13. Mariano Suárez-Alvarez: Applications of the change-of-rings spectral sequence to the computation of Hochschild cohomology. arxiv.org:0707.3210.
  14. Mariano Suárez-Álvarez: On the cohomology of a Galois entwining. Ann. Sci. Math. du Québec. 30 (2006) no. 3, 259–262. arXiv:math.QA/0410126.
  15. Mariano Suárez-Álvarez: The Hilton-Eckmann argument for cup products. Proc. Amer. Math. Soc. 132 (2004) no. 8, 2241–2246. arXiv:math.KT/0209029.
  16. Max Karoubi, Mariano Suárez-Álvarez: Twisted Kähler differential forms. J. Pure Appl. Algebra 182 (2003) no. 1–2 , 279–289. arXiv:math.AT/0109078.
  17. Marco Farinati, Andrea Solotar, Mariano Suárez-Álvarez: Hochschild homology of generalized Weyl algebras. Ann. Inst. Fourier 53 (2003) no. 2, 463–486. arXiv:math.KT/0109025.
  18. Mariano Suárez-Álvarez: Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group. J. Algebra 248 (2001), 291–306. arXiv:math.KT/0109068.

A rejected paper

Books