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Всего записей: 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).

zbMATH DOI MathSciNet arXiv
Mori dream singular \(K3\) surfaces

Antonio Laface, Alex Massarenti, William D. Montoya

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

zbMATH DOI MathSciNet arXiv

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).

zbMATH DOI MathSciNet arXiv
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).

zbMATH DOI MathSciNet arXiv

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).

zbMATH DOI MathSciNet arXiv

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).

zbMATH DOI MathSciNet arXiv

2018

On blowing up the weighted projective plane

Jürgen Hausen, Simon Keicher, Antonio Laface

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

zbMATH DOI MathSciNet arXiv

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).

zbMATH DOI MathSciNet arXiv
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).

zbMATH DOI MathSciNet arXiv
Computing Cox rings

Jürgen Hausen, Simon Keicher, Antonio Laface

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

zbMATH DOI MathSciNet arXiv

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).

zbMATH DOI MathSciNet arXiv
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).

zbMATH DOI MathSciNet arXiv

2014

On Büchi's \(K3\) surface

Michela Artebani, Antonio Laface, Damiano Testa

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

zbMATH DOI MathSciNet arXiv
Linear systems on a class of anticanonical rational threefolds

Cindy De Volder, Antonio Laface

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

zbMATH DOI MathSciNet arXiv

2013

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

Antonio Laface, Elisa Postinghel

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

zbMATH DOI MathSciNet arXiv
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).

zbMATH arXiv

2012

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Hypersurfaces in Mori dream spaces

Michela Artebani, Antonio Laface

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

zbMATH DOI MathSciNet arXiv

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).

zbMATH DOI MathSciNet arXiv

2010

On Cox rings of \(K3\) surfaces

Michela Artebani, Jürgen Hausen, Antonio Laface

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

zbMATH DOI MathSciNet arXiv

2009

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

Antonio Laface, Mauricio Velasco

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

zbMATH DOI MathSciNet arXiv
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).

zbMATH arXiv
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).

zbMATH arXiv
Linear system on generic \(K3\) surfaces

Cindy de Volder, Antonio Laface

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

zbMATH arXiv
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).

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

A. Laface, L. Ugaglia

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

zbMATH arXiv

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).

zbMATH DOI MathSciNet arXiv

2002

On linear systems of curves on rational scrolls

Antonio Laface

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

zbMATH DOI MathSciNet arXiv

1997

A very ampleness result

Antonio Laface

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

zbMATH arXiv

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