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
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Papers
- Decomposition algorithms for tensors and polynomials. with A. Laface, A. Massarenti, R. Rischter, SIAM J. Appl. Algebra Geom. 7 (2023), no. 1, 264--290.
- 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.
- 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.
- Finite generation of Cox rings. with J.L. González, A. Laface, Notices Amer. Math. Soc. 69 (2022), no. 8, 1320--1333.
- 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.
- On smooth Fano fourfolds of Picard number two. with J. Hausen, A. Laface, C. Mauz, Rev. Mat. Iberoam. 38 (2022), no. 1, 53--93.
- Cox rings of K3 surfaces of Picard number three.
with M. Artebani, C. Correa Deisler,
J. Algebra 565 (2021), 598--626.
- On base loci of higher fundamental forms of toric varieties.
with L. Ugaglia,
J. Pure Appl. Algebra 224 (2020), no. 12, 106447, 18 pp.
- On the topology of rational 𝕋-varieties of complexity one.
With A. Liendo, J. Moraga,
Mosc. Math. J. 20 (2020), no. 2, 405-404.
- On Mori chamber and stable base locus decompositions.
with A. Massarenti, R. Rischter,
Trans. Amer. Math. Soc. 373 (2020), no. 3, 1667--1700.
- Cox ring of the generic fiber.
with L. Ugaglia,
J. Algebra 551 (2020), 191--208.
- 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.
- The fundamental group of a log terminal 𝕋-variety.
With A. Liendo, J. Moraga,
Eur. J. Math. 5 (2019), no. 3, 937--957.
- On blowing up the weighted projective plane.
With J. Hausen, S. Keicher,
Math. Z. 290 (2018), no. 3-4, 1339--1358.
- 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.
- Lines on cubic hypersurfaces over finite fields.
with O. Debarre, X. Rolleau,
Geometry over nonclosed fields, 19--51, Simons Symp., Springer, Cham, 2017.
- Cox rings of extremal rational elliptic surfaces.
with M. Artebani, A. Garbagnati,
Trans. Amer. Math. Soc. 368 (2016), no. 3, 1735--1757.
- Linear systems on the blow-up of (P1)n.
with J. Moraga, Linear Algebra Appl. 492 (2016), 52--67.
- Euler sequence for complete smooth k*-surfaces,
with M. Melo. J. Algebra 448 (2016), 418--430.
- Computing Cox rings,
with J. Hausen, S. Keicher,
Mathematics of Computation,
85 (2016), no. 297, 467--502.
- On cubic elliptic varieties,
with J. Hausen, A.L. Tironi, L. Ugaglia,
Trans. Amer. Math. Soc. 368 (2016), no. 1, 689--708.
- Cox rings of cubic surfaces and Fano threefolds,
with U. Derenthal, J. Hausen, A. Heim, S. Keicher,
J. of Algebra 436 (2015) 228--276.
- On Büchi's K3 surface,
with M. Artebani, D. Testa,
Math. Z., 278, Issue 3-4, (2014), 1113 -- 1131.
- Linear systems on a class of anticanonical rational threefolds,
with C. De Volder,
J. Pure Appl. Algebra 218 (2014), no. 6, 1095--1106.
- Secant varieties of Segre-Veronese embeddings of
(P1)r,
with E. Postinghel,
Math. Ann. 356, (2013), 1455 - 1470.
- Nef and semiample divisors on rational surfaces,
with D. Testa,
London Mathematical Society Lecture Note Series, 405 (2013), 429 - 446.
- Hypersurfaces in Mori dream spaces,
with M. Artebani,
J. Algebra, 371 (2012), 26-37.
- 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.
- Cox rings of surfaces and the anticanonical Iitaka dimension,
with M. Artebani,
Advances in Math., 226, no. 6, (2011), 5252-5267.
- Special systems through double points on an algebraic surface,
Proc. Amer. Math. Soc. 139 (2011), 1971-1981.
- On Cox rings of K3-surfaces,
with M. Artebani, J. Hausen,
Compositio Math. 146 (2010), 964-998.
- 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.
- Picard-graded Betti numbers and the defining ideals of Cox rings,
with M. Velasco,
J. Algebra 322, no. 2, 353--372, 2009.
- A survey on Cox rings,
with M. Velasco,
Geom. Dedicata 139, 269--287, 2009.
- Introducción a la Geometría Tropical,
Trabajos de Matemática, Serie ``B'', IV Encuentro Nacional
de Álgebra.
Universidad Nacional de Córdoba, Argentina, 37-59, 2008.
- On linear systems of P3 through multiple points,
with C. De Volder,
J. Algebra, 310, 207--217, 2007.
- Elementary (-1)-curves of P3,
with L. Ugaglia,
Comm. Algebra, 35, 313--324, 2007.
- On a class of special linear systems of P3,
with L. Ugaglia,
Trans. Amer. Math. Soc., 358, 5485--5500 (electronic), 2006.
- 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.
- Linear systems on generic K3 surfaces,
with C. De Volder,
Bull. Belg. Math. Soc. Simon Stevin, 12, 481--489, 2005.
- 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.
- A conjecture on special linear systems of P3,
with L. Ugaglia,
Rend. Sem. Mat. Univ. Politec. Torino, 63, 107--110, 2005.
- Recent results on linear systems on generic K3 surfaces,
with C. De Volder,
Rend. Sem. Mat. Univ. Politec. Torino, 63, 91--94, 2005.
- Degeneration of linear systems through fat points on K3 surfaces,
with C. De Volder,
Trans. Amer. Math. Soc., 357, 3673--3682 (electronic), 2005.
- A counterexample to a conjecture on linear systems on P3,
with L. Ugaglia,
Adv. Geom., 4, 365--371, 2004.
- Quasi-homogeneous linear systems on P2 with base points of multiplicity 5,
with L. Ugaglia,
Canad. J. Math., 55, 561--575, 2003.
- On linear systems of curves on rational scrolls,
Geom. Dedicata, 90, 127--144, 2002.
- A very ampleness result,
Matematiche (Catania), 52, 431--442, 1997.
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