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. Cox rings of K3 surfaces of Picard number three. with M. Artebani, C. Correa Deisler, J. Algebra 565 (2021), 598--626.
  2. On base loci of higher fundamental forms of toric varieties. with L. Ugaglia, J. Pure Appl. Algebra 224 (2020), no. 12, 106447, 18 pp.
  3. On the topology of rational š•‹-varieties of complexity one. With A. Liendo, J. Moraga, Mosc. Math. J. 20 (2020), no. 2, 405-404.
  4. On Mori chamber and stable base locus decompositions. with A. Massarenti, R. Rischter, Trans. Amer. Math. Soc. 373 (2020), no. 3, 1667--1700.
  5. Cox ring of the generic fiber. with L. Ugaglia, J. Algebra 551 (2020), 191--208.
  6. Del Pezzo elliptic varieties of degree dā‰¤4. with L. Ugaglia, A. Tironi, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19 (2019), no. 3, 1085--1110.
  7. The fundamental group of a log terminal š•‹-variety. With A. Liendo, J. Moraga, Eur. J. Math. 5 (2019), no. 3, 937--957.
  8. On blowing up the weighted projective plane. With J. Hausen, S. Keicher, Math. Z. 290 (2018), no. 3-4, 1339--1358.
  9. 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.
  10. Lines on cubic hypersurfaces over finite fields. with O. Debarre, X. Rolleau, Geometry over nonclosed fields, 19--51, Simons Symp., Springer, Cham, 2017.
  11. Cox rings of extremal rational elliptic surfaces. with M. Artebani, A. Garbagnati, Trans. Amer. Math. Soc. 368 (2016), no. 3, 1735--1757.
  12. Linear systems on the blow-up of (P1)n. with J. Moraga, Linear Algebra Appl. 492 (2016), 52--67.
  13. Euler sequence for complete smooth k*-surfaces, with M. Melo. J. Algebra 448 (2016), 418--430.
  14. Computing Cox rings, with J. Hausen, S. Keicher, Mathematics of Computation, 85 (2016), no. 297, 467--502.
  15. On cubic elliptic varieties, with J. Hausen, A.L. Tironi, L. Ugaglia, Trans. Amer. Math. Soc. 368 (2016), no. 1, 689--708.
  16. Cox rings of cubic surfaces and Fano threefolds, with U. Derenthal, J. Hausen, A. Heim, S. Keicher, J. of Algebra 436 (2015) 228--276.
  17. On Büchi's K3 surface, with M. Artebani, D. Testa, Math. Z., 278, Issue 3-4, (2014), 1113 -- 1131.
  18. Linear systems on a class of anticanonical rational threefolds, with C. De Volder, J. Pure Appl. Algebra 218 (2014), no. 6, 1095--1106.
  19. Secant varieties of Segre-Veronese embeddings of (P1)r, with E. Postinghel, Math. Ann. 356, (2013), 1455 - 1470.
  20. Nef and semiample divisors on rational surfaces, with D. Testa, London Mathematical Society Lecture Note Series, 405 (2013), 429 - 446.
  21. Hypersurfaces in Mori dream spaces, with M. Artebani, J. Algebra, 371 (2012), 26-37.
  22. Standard classes on the blow-up of P^n at points in very general position, with L. Ugaglia, Comm. Algebra, 40 (2012), no.6, 2115ā€“2129.
  23. Cox rings of surfaces and the anticanonical Iitaka dimension, with M. Artebani, Advances in Math., 226, no. 6, (2011), 5252-5267.
  24. Special systems through double points on an algebraic surface, Proc. Amer. Math. Soc. 139 (2011), 1971-1981.
  25. On Cox rings of K3-surfaces, with M. Artebani, J. Hausen, Compositio Math. 146 (2010), 964-998.
  26. 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.
  27. Picard-graded Betti numbers and the defining ideals of Cox rings, with M. Velasco, J. Algebra 322, no. 2, 353--372, 2009.
  28. A survey on Cox rings, with M. Velasco, Geom. Dedicata 139, 269--287, 2009.
  29. Introducción a la Geometría Tropical, Trabajos de Matemática, Serie ``B'', IV Encuentro Nacional de Álgebra. Universidad Nacional de Córdoba, Argentina, 37-59, 2008.
  30. On linear systems of P3 through multiple points, with C. De Volder, J. Algebra, 310, 207--217, 2007.
  31. Elementary (-1)-curves of P3, with L. Ugaglia, Comm. Algebra, 35, 313--324, 2007.
  32. On a class of special linear systems of P3, with L. Ugaglia, Trans. Amer. Math. Soc., 358, 5485--5500 (electronic), 2006.
  33. 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.
  34. Linear systems on generic K3 surfaces, with C. De Volder, Bull. Belg. Math. Soc. Simon Stevin, 12, 481--489, 2005.
  35. 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.
  36. A conjecture on special linear systems of P3, with L. Ugaglia, Rend. Sem. Mat. Univ. Politec. Torino, 63, 107--110, 2005.
  37. Recent results on linear systems on generic K3 surfaces, with C. De Volder, Rend. Sem. Mat. Univ. Politec. Torino, 63, 91--94, 2005.
  38. Degeneration of linear systems through fat points on K3 surfaces, with C. De Volder, Trans. Amer. Math. Soc., 357, 3673--3682 (electronic), 2005.
  39. A counterexample to a conjecture on linear systems on P3, with L. Ugaglia, Adv. Geom., 4, 365--371, 2004.
  40. Quasi-homogeneous linear systems on P2 with base points of multiplicity 5, with L. Ugaglia, Canad. J. Math., 55, 561--575, 2003.
  41. On linear systems of curves on rational scrolls, Geom. Dedicata, 90, 127--144, 2002.
  42. A very ampleness result, Matematiche (Catania), 52, 431--442, 1997.