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Entries: 56

2026

Equivalent conjectures on blowing-ups of \(\mathbb{P}^2\)

Antonio Laface, Luca Ugaglia, Macarena Vilches

J. Algebra 695, 432-445 (2026)

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2025

On blowing up minimal toric surfaces

Antonio Laface, Luca Ugaglia

Int. Math. Res. Not. 2025, No. 6, Article ID rnaf052, 19 p. (2025).

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Mori dream singular \(K3\) surfaces

Antonio Laface, Alex Massarenti, William D. Montoya

Math. Z. 310, No. 3, Paper No. 61, 20 p. (2025).

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2024

Effective cone of the blowup of the symmetric product of a curve

Antonio Laface, Luca Ugaglia

Proc. Am. Math. Soc., Ser. B 11, 229-242 (2024).

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Ample bodies and Terracini loci of projective varieties

Antonio Laface, Alex Massarenti

Bull. Lond. Math. Soc. 56, No. 1, 396-410 (2024).

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2023

On linear systems with multiple points on a rational normal curve

Antonio Laface, Elisa Postinghel, Luis José Santana Sánchez

Linear Algebra Appl. 657, 197-240 (2023).

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On intrinsic negative curves

Antonio Laface, Luca Ugaglia

Dedieu, Thomas (ed.) et al., The art of doing algebraic geometry. Cham: Birkhäuser. Trends Math., 241-259 (2023).

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On generalized Büchi surfaces

Antonio Laface, Rodrigo Quezada

Cheltsov, Ivan (ed.) et al., Birational geometry, Kähler-Einstein metrics and degenerations. Proceedings of the conferences, Moscow, Russia, April 8--13, 2019, Shanghai, China, June 10--14, 2019, Pohang, South Korea, November 18--22, 2019. Cham: Springer. Springer Proc. Math. Stat. 409, 501-516 (2023).

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Decomposition algorithms for tensors and polynomials

Antonio Laface, Alex Massarenti, Rick Rischter

SIAM J. Appl. Algebra Geom. 7, No. 1, 264-290 (2023).

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Blown-up toric surfaces with non-polyhedral effective cone

Ana-Maria Castravet, Antonio Laface, Jenia Tevelev, Luca Ugaglia

J. Reine Angew. Math. 800, 1-44 (2023).

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2022

On smooth Fano fourfolds of Picard number two

Jürgen Hausen, Antonio Laface, Christian Mauz

Rev. Mat. Iberoam. 38, No. 1, 53-93 (2022).

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On secant defectiveness and identifiability of Segre-Veronese varieties

Antonio Laface, Alex Massarenti, Rick Rischter

Rev. Mat. Iberoam. 38, No. 5, 1605-1635 (2022).

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Finite generation of Cox rings

José Luis González, Antonio Laface

Notices Am. Math. Soc. 69, No. 8, 1320-1333 (2022).

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Chilean configuration of conics, lines and points

Igor Dolgachev, Antonio Laface, Ulf Persson, Giancarlo Urzúa

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 2, 877-914 (2022).

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2021

Cox rings of \(K3\) surfaces of Picard number three

Michela Artebani, Claudia Correa Deisler, Antonio Laface

J. Algebra 565, 598-626 (2021).

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2020

On the topology of rational \(\mathbb{T}\)-varieties of complexity one

Antonio Laface, Alvaro Liendo, Joaquín Moraga

Mosc. Math. J. 20, No. 2, 405-422 (2020).

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On base loci of higher fundamental forms of toric varieties

Antonio Laface, Luca Ugaglia

J. Pure Appl. Algebra 224, No. 12, Article ID 106447, 17 p. (2020).

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On Mori chamber and stable base locus decompositions

Antonio Laface, Alex Massarenti, Rick Rischter

Trans. Am. Math. Soc. 373, No. 3, 1667-1700 (2020).

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Cox ring of the generic fiber

Antonio Laface, Luca Ugaglia

J. Algebra 551, 191-208 (2020).

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2019

The fundamental group of a log terminal \(\mathbb{T}\)-variety

Antonio Laface, Alvaro Liendo, Joaquín Moraga

Eur. J. Math. 5, No. 3, 937-957 (2019).

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Del Pezzo elliptic varieties of degree \(d\leq 4\)

Antonio Laface, Andrea L. Tironi, Luca Ugaglia

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 3, 1085-1110 (2019).

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2018

On blowing up the weighted projective plane

Jürgen Hausen, Simon Keicher, Antonio Laface

Math. Z. 290, No. 3-4, 1339-1358 (2018).

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2017

Lines on cubic hypersurfaces over finite fields

Olivier Debarre, Antonio Laface, Xavier Roulleau

Bogomolov, Fedor (ed.) et al., Geometry over nonclosed fields. Proceedings of the Simons symposium, March 22--28, 2015. Cham: Springer. Simons Symp., 19-51 (2017).

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About the semiample cone of the symmetric product of a curve

Michela Artebani, Antonio Laface, Gian Pietro Pirola

Int. Math. Res. Not. 2017, No. 18, 5554-5576 (2017).

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2016

On cubic elliptic varieties

Jürgen Hausen, Antonio Laface, Andrea Luigi Tironi, Luca Ugaglia

Trans. Am. Math. Soc. 368, No. 1, 689-708 (2016).

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Linear systems on the blow-up of \((\mathbb{P}^1)^n\)

Antonio Laface, Joaquín Moraga

Linear Algebra Appl. 492, 52-67 (2016).

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Euler sequence for complete smooth \(\mathbb{K}^\ast\)-surfaces

Antonio Laface, Manuel Melo

J. Algebra 448, 418-430 (2016).

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Cox rings of extremal rational elliptic surfaces

Michela Artebani, Alice Garbagnati, Antonio Laface

Trans. Am. Math. Soc. 368, No. 3, 1735-1757 (2016).

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Computing Cox rings

Jürgen Hausen, Simon Keicher, Antonio Laface

Math. Comput. 85, No. 297, 467-502 (2016).

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2015

Cox rings of cubic surfaces and Fano threefolds

Ulrich Derenthal, Jürgen Hausen, Armand Heim, Simon Keicher, Antonio Laface

J. Algebra 436, 228-276 (2015).

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Cox rings

Ivan Arzhantsev, Ulrich Derenthal, Jürgen Hausen, Antonio Laface

Cambridge Studies in Advanced Mathematics 144. Cambridge: Cambridge University Press (ISBN 978-1-107-02462-5/hbk; 978-1-139-17585-2/ebook). viii, 530~p. (2015).

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2014

On Büchi's \(K3\) surface

Michela Artebani, Antonio Laface, Damiano Testa

Math. Z. 278, No. 3-4, 1113-1131 (2014).

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Linear systems on a class of anticanonical rational threefolds

Cindy De Volder, Antonio Laface

J. Pure Appl. Algebra 218, No. 6, 1095-1106 (2014).

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2013

Secant varieties of Segre-Veronese embeddings of \((\mathbb{P }^1)^r\)

Antonio Laface, Elisa Postinghel

Math. Ann. 356, No. 4, 1455-1470 (2013).

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Nef and semiample divisors on rational surfaces

Antonio Laface, Damiano Testa

Skorobogatov, Alexei N. (ed.), Torsors, étale homotopy and applications to rational points. Lecture notes of mini-courses presented at the workshop ``Torsors: theory and applications'', Edinburgh, UK, January 10--14, 2011 and at the study group organised in Imperial College, London, UK in autumn 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-61612-7/pbk; 978-1-139-52535-0/ebook). London Mathematical Society Lecture Note Series 405, 429-446 (2013).

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2012

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Hypersurfaces in Mori dream spaces

Michela Artebani, Antonio Laface

J. Algebra 371, 26-37 (2012).

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2011

Special systems through double points on an algebraic surface

Antonio Laface

Proc. Am. Math. Soc. 139, No. 6, 1971-1981 (2011).

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Cox rings of surfaces and the anticanonical Iitaka dimension

Michela Artebani, Antonio Laface

Adv. Math. 226, No. 6, 5252-5267 (2011).

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2010

On Cox rings of \(K3\) surfaces

Michela Artebani, Jürgen Hausen, Antonio Laface

Compos. Math. 146, No. 4, 964-998 (2010).

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2009

Picard-graded Betti numbers and the defining ideals of Cox rings

Antonio Laface, Mauricio Velasco

J. Algebra 322, No. 2, 353-372 (2009).

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On multiples of divisors associated to Veronese embeddings with defective secant variety

Antonio Laface, Luca Ugaglia

Bull. Belg. Math. Soc. - Simon Stevin 16, No. 5, 933-942 (2009).

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A survey on Cox rings

Antonio Laface, Mauricio Velasco

Geom. Dedicata 139, 269-287 (2009).

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2007

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On linear systems of \(\mathbb P^3\) through multiple points

Cindy De Volder, Antonio Laface

J. Algebra 310, No. 1, 207-217 (2007).

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2006

On a class of special linear systems of \(\mathbb{P}^3\)

Antonio Laface, Luca Ugaglia

Trans. Am. Math. Soc. 358, No. 12, 5485-5500 (2006).

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Base locus of linear systems on the blowing-up of \(\mathbb{P}^3\) along at most 8 general points

Cindy De Volder, Antonio Laface

Pac. J. Math. 223, No. 1, 17-34 (2006).

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2005

Recent results on linear system on generic \(K3\) surfaces

A. Laface, Cindy De Volder

Rend. Semin. Mat., Torino 63, No. 1, 91-94 (2005).

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Linear system on generic \(K3\) surfaces

Cindy de Volder, Antonio Laface

Bull. Belg. Math. Soc. - Simon Stevin 12, No. 4, 481-489 (2005).

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Degeneration of linear systems through fat points on \(K3\) surfaces

Cindy De Volder, Antonio Laface

Trans. Am. Math. Soc. 357, No. 9, 3673-3682 (2005).

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A note on the very ampleness of complete linear systems on blowings-up of \(\mathbb P^3\)

Cindy De Volder, Antonio Laface

Ciliberto, C. (ed.) et al., Projective varieties with unexpected properties. A volume in memory of Giuseppe Veronese. Proceedings of the international conference ``Varieties with unexpected properties'', Siena, Italy, June 8--13, 2004. Berlin: Walter de Gruyter (ISBN 3-11-018160-6/hbk). 231-236 (2005).

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A conjecture on special linear system \(\mathbb P^3\)

A. Laface, L. Ugaglia

Rend. Semin. Mat., Torino 63, No. 1, 107-110 (2005).

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2004

A counterexample to a conjecture on linear systems on \(\mathbb{P}^3\)

Antonio Laface, Luca Ugaglia

Adv. Geom. 4, No. 3, 365-371 (2004).

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2003

Quasi-homogeneous linear systems on \({\mathbb P}^ 2\) with base points of multiplicity 5.

Antonio Laface, Luca Ugaglia

Can. J. Math. 55, No. 3, 561-575 (2003).

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2002

On linear systems of curves on rational scrolls

Antonio Laface

Geom. Dedicata 90, 127-144 (2002).

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1997

A very ampleness result

Antonio Laface

Matematiche 52, No. 2, 431-442 (1997).

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