Antonio Laface

Full Professor
Departamento de Matematica
Facultad de Ciencias Fisicas y Matematicas
Universidad de Concepción
Casilla 160-C, Concepción (Chile)

e-mail:  alaface@udec.cl
Phone: +56 41 220 3173
Fax:     +56 41 220 3321

Papers
arXiv
Software
Lecture notes
Book: Cox rings

Papers

  1. Decomposition algorithms for tensors and polynomials. with A. Laface, A. Massarenti, R. Rischter, SIAM J. Appl. Algebra Geom. 7 (2023), no. 1, 264--290.
  2. On linear systems with multiple points on a rational normal curve. with A. Laface, E. Postinghel, L.J. Santana Sánchez, Linear Algebra Appl. 657 (2023), 197--240.
  3. On secant defectiveness and identifiability of Segre-Veronese varieties. with A. Laface, A. Massarenti, R. Rischter, Rev. Mat. Iberoam. 38 (2022), no. 5, 1605--1635.
  4. Finite generation of Cox rings. with J.L. González, A. Laface, Notices Amer. Math. Soc. 69 (2022), no. 8, 1320--1333.
  5. Chilean configuration of conics, lines and points. with I. Dolgachev, A. Laface, U. Persson, G. Urzúa, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 2, 877--914.
  6. On smooth Fano fourfolds of Picard number two. with J. Hausen, A. Laface, C. Mauz, Rev. Mat. Iberoam. 38 (2022), no. 1, 53--93.
  7. Cox rings of K3 surfaces of Picard number three. with M. Artebani, C. Correa Deisler, J. Algebra 565 (2021), 598--626.
  8. On base loci of higher fundamental forms of toric varieties. with L. Ugaglia, J. Pure Appl. Algebra 224 (2020), no. 12, 106447, 18 pp.
  9. On the topology of rational 𝕋-varieties of complexity one. With A. Liendo, J. Moraga, Mosc. Math. J. 20 (2020), no. 2, 405-404.
  10. On Mori chamber and stable base locus decompositions. with A. Massarenti, R. Rischter, Trans. Amer. Math. Soc. 373 (2020), no. 3, 1667--1700.
  11. Cox ring of the generic fiber. with L. Ugaglia, J. Algebra 551 (2020), 191--208.
  12. Del Pezzo elliptic varieties of degree d≤4. with L. Ugaglia, A. Tironi, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19 (2019), no. 3, 1085--1110.
  13. The fundamental group of a log terminal 𝕋-variety. With A. Liendo, J. Moraga, Eur. J. Math. 5 (2019), no. 3, 937--957.
  14. On blowing up the weighted projective plane. With J. Hausen, S. Keicher, Math. Z. 290 (2018), no. 3-4, 1339--1358.
  15. About the semiample cone of the symmetric product of a curve. with M. Artebani, G. P. Pirola, Int. Math. Res. Not. IMRN 2017, no. 18, 5554--5576.
  16. Lines on cubic hypersurfaces over finite fields. with O. Debarre, X. Rolleau, Geometry over nonclosed fields, 19--51, Simons Symp., Springer, Cham, 2017.
  17. Cox rings of extremal rational elliptic surfaces. with M. Artebani, A. Garbagnati, Trans. Amer. Math. Soc. 368 (2016), no. 3, 1735--1757.
  18. Linear systems on the blow-up of (P1)n. with J. Moraga, Linear Algebra Appl. 492 (2016), 52--67.
  19. Euler sequence for complete smooth k*-surfaces, with M. Melo. J. Algebra 448 (2016), 418--430.
  20. Computing Cox rings, with J. Hausen, S. Keicher, Mathematics of Computation, 85 (2016), no. 297, 467--502.
  21. On cubic elliptic varieties, with J. Hausen, A.L. Tironi, L. Ugaglia, Trans. Amer. Math. Soc. 368 (2016), no. 1, 689--708.
  22. Cox rings of cubic surfaces and Fano threefolds, with U. Derenthal, J. Hausen, A. Heim, S. Keicher, J. of Algebra 436 (2015) 228--276.
  23. On Büchi's K3 surface, with M. Artebani, D. Testa, Math. Z., 278, Issue 3-4, (2014), 1113 -- 1131.
  24. Linear systems on a class of anticanonical rational threefolds, with C. De Volder, J. Pure Appl. Algebra 218 (2014), no. 6, 1095--1106.
  25. Secant varieties of Segre-Veronese embeddings of (P1)r, with E. Postinghel, Math. Ann. 356, (2013), 1455 - 1470.
  26. Nef and semiample divisors on rational surfaces, with D. Testa, London Mathematical Society Lecture Note Series, 405 (2013), 429 - 446.
  27. Hypersurfaces in Mori dream spaces, with M. Artebani, J. Algebra, 371 (2012), 26-37.
  28. Standard classes on the blow-up of P^n at points in very general position, with L. Ugaglia, Comm. Algebra, 40 (2012), no.6, 2115–2129.
  29. Cox rings of surfaces and the anticanonical Iitaka dimension, with M. Artebani, Advances in Math., 226, no. 6, (2011), 5252-5267.
  30. Special systems through double points on an algebraic surface, Proc. Amer. Math. Soc. 139 (2011), 1971-1981.
  31. On Cox rings of K3-surfaces, with M. Artebani, J. Hausen, Compositio Math. 146 (2010), 964-998.
  32. On multiples of divisors associated to Veronese embeddings with defective secant variety, with L. Ugaglia, Bull. Belg. Math. Soc. Simon Stevin, 16, no. 5, 933-942, 2009.
  33. Picard-graded Betti numbers and the defining ideals of Cox rings, with M. Velasco, J. Algebra 322, no. 2, 353--372, 2009.
  34. A survey on Cox rings, with M. Velasco, Geom. Dedicata 139, 269--287, 2009.
  35. Introducción a la Geometría Tropical, Trabajos de Matemática, Serie ``B'', IV Encuentro Nacional de Álgebra. Universidad Nacional de Córdoba, Argentina, 37-59, 2008.
  36. On linear systems of P3 through multiple points, with C. De Volder, J. Algebra, 310, 207--217, 2007.
  37. Elementary (-1)-curves of P3, with L. Ugaglia, Comm. Algebra, 35, 313--324, 2007.
  38. On a class of special linear systems of P3, with L. Ugaglia, Trans. Amer. Math. Soc., 358, 5485--5500 (electronic), 2006.
  39. Base locus of linear systems on the blowing-up of P3 along at most 8 general points, with C. De Volder, Pacific J. Math., 223, 17--34, 2006.
  40. Linear systems on generic K3 surfaces, with C. De Volder, Bull. Belg. Math. Soc. Simon Stevin, 12, 481--489, 2005.
  41. A note on the very ampleness of complete linear systems on blowings-up of P3, with C. De Volder, "Projective varieties with unexpected properties", Walter de Gruyter GmbH & Co. KG, Berlin, 231--236, 2005.
  42. A conjecture on special linear systems of P3, with L. Ugaglia, Rend. Sem. Mat. Univ. Politec. Torino, 63, 107--110, 2005.
  43. Recent results on linear systems on generic K3 surfaces, with C. De Volder, Rend. Sem. Mat. Univ. Politec. Torino, 63, 91--94, 2005.
  44. Degeneration of linear systems through fat points on K3 surfaces, with C. De Volder, Trans. Amer. Math. Soc., 357, 3673--3682 (electronic), 2005.
  45. A counterexample to a conjecture on linear systems on P3, with L. Ugaglia, Adv. Geom., 4, 365--371, 2004.
  46. Quasi-homogeneous linear systems on P2 with base points of multiplicity 5, with L. Ugaglia, Canad. J. Math., 55, 561--575, 2003.
  47. On linear systems of curves on rational scrolls, Geom. Dedicata, 90, 127--144, 2002.
  48. A very ampleness result, Matematiche (Catania), 52, 431--442, 1997.