1

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

Antonio Laface, Mauricio Velasco
Journal:
Journal of Algebra
Year:
2009
Language:
english
File:
PDF, 332 KB
english, 2009
2

On Cox rings of K3 surfaces

Artebani, Michela, Hausen, Jürgen, Laface, Antonio
Journal:
Compositio Mathematica
Year:
2010
Language:
english
File:
PDF, 901 KB
english, 2010
3

Hypersurfaces in Mori dream spaces

Michela Artebani, Antonio Laface
Journal:
Journal of Algebra
Year:
2012
Language:
english
File:
PDF, 206 KB
english, 2012
4

Cox rings of surfaces and the anticanonical Iitaka dimension

Michela Artebani, Antonio Laface
Journal:
Advances in Mathematics
Year:
2011
Language:
english
File:
PDF, 189 KB
english, 2011
6

10.1090/s0002-9947-04-03653-0

De Volder, Cindy, Laface, Antonio
Journal:
Transactions of the American Mathematical Society
Year:
2005
Language:
english
File:
PDF, 210 KB
english, 2005
7

Cox Rings || Introduction

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 170 KB
english, 2014
9

Euler sequence for complete smooth K

Laface, Antonio, Melo, Manuel
Journal:
Journal of Algebra
Year:
2016
Language:
english
File:
PDF, 342 KB
english, 2016
10

Cox Rings || Basic concepts

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 930 KB
english, 2014
11

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

Antonio Laface, Elisa Postinghel
Journal:
Mathematische Annalen
Year:
2013
Language:
english
File:
PDF, 302 KB
english, 2013
12

Cox Rings || Toric varieties and Gale duality

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 817 KB
english, 2014
13

Cox Rings || Cox rings and combinatorics

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 1.44 MB
english, 2014
14

Cox Rings || Selected topics

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 1.79 MB
english, 2014
15

Cox Rings || Surfaces

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 1.49 MB
english, 2014
16

On linear systems of through multiple points

Cindy De Volder, Antonio Laface
Journal:
Journal of Algebra
Year:
2007
Language:
english
File:
PDF, 158 KB
english, 2007
17

Cox Rings || Arithmetic applications

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 592 KB
english, 2014
18

Cox Rings || References

Arzhantsev, Ivan, Derenthal, Ulrich, Hausen, Jurgen, Laface, Antonio
Year:
2014
Language:
english
File:
PDF, 144 KB
english, 2014
19

Elementary (−1)-Curves of ℙ 3

Laface, Antonio, Ugaglia, Luca
Journal:
Communications in Algebra
Year:
2006
Language:
english
File:
PDF, 163 KB
english, 2006
20

Cox rings of cubic surfaces and Fano threefolds

Derenthal, Ulrich, Hausen, Jürgen, Heim, Armand, Keicher, Simon, Laface, Antonio
Journal:
Journal of Algebra
Year:
2015
Language:
english
File:
PDF, 748 KB
english, 2015
21

On a Class of Special Linear Systems of ℙ³

Antonio Laface and Luca Ugaglia
Journal:
Transactions of the American Mathematical Society
Year:
2006
Language:
english
File:
PDF, 1.28 MB
english, 2006
22

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

Laface, Antonio, Ugaglia, Luca
Journal:
Transactions of the American Mathematical Society
Year:
2006
Language:
english
File:
PDF, 252 KB
english, 2006
23

Standard Classes on the Blow-Up of ℙ n at Points in Very General Position

Laface, Antonio, Ugaglia, Luca
Journal:
Communications in Algebra
Year:
2012
Language:
english
File:
PDF, 257 KB
english, 2012
25

Computing Cox rings

Hausen, Jürgen, Keicher, Simon, Laface, Antonio
Journal:
Mathematics of Computation
Year:
2015
Language:
english
File:
PDF, 646 KB
english, 2015
27

On Linear Systems of Curves on Rational Scrolls

Antonio Laface
Journal:
Geometriae Dedicata
Year:
2002
Language:
english
File:
PDF, 168 KB
english, 2002
28

A counterexample to a conjecture on linear systems on ℙ3

Laface, Antonio, Ugaglia, Luca
Journal:
Advances in Geometry
Year:
2004
Language:
english
File:
PDF, 114 KB
english, 2004
29

A survey on Cox rings

Antonio Laface, Mauricio Velasco
Journal:
Geometriae Dedicata
Year:
2009
Language:
english
File:
PDF, 409 KB
english, 2009
30

On Büchi’s K3 surface

Artebani, Michela, Laface, Antonio, Testa, Damiano
Journal:
Mathematische Zeitschrift
Year:
2014
Language:
english
File:
PDF, 296 KB
english, 2014
32

Quasi-Homogeneous Linear Systems on ℙ 2 with Base Points of Multiplicity 5

Laface, Antonio, Ugaglia, Luca
Journal:
Canadian Journal of Mathematics
Year:
2003
Language:
english
File:
PDF, 203 KB
english, 2003
33

Special systems through double points on an algebraic surface

Laface, Antonio
Journal:
Proceedings of the American Mathematical Society
Year:
2011
Language:
english
File:
PDF, 476 KB
english, 2011
34

Cox ring of the generic fiber

Laface, Antonio, Ugaglia, Luca
Journal:
Journal of Algebra
Year:
2020
Language:
english
File:
PDF, 662 KB
english, 2020
36

On blowing up the weighted projective plane

Hausen, Jürgen, Keicher, Simon, Laface, Antonio
Journal:
Mathematische Zeitschrift
Year:
2018
Language:
english
File:
PDF, 570 KB
english, 2018
37

Linear systems on a class of anticanonical rational threefolds

De Volder, Cindy, Laface, Antonio
Journal:
Journal of Pure and Applied Algebra
Year:
2014
Language:
english
File:
PDF, 292 KB
english, 2014
39

Linear systems on the blow-up of (

Laface, Antonio, Moraga, Joaquín
Journal:
Linear Algebra and its Applications
Year:
2016
Language:
english
File:
PDF, 398 KB
english, 2016