scholarly journals Cox rings over nonclosed fields

2018 ◽  
Vol 99 (2) ◽  
pp. 447-476 ◽  
Author(s):  
Ulrich Derenthal ◽  
Marta Pieropan
Keyword(s):  
Cox Rings

scholarly journals Cox rings of degree one del Pezzo surfaces

2009 ◽  
Vol 3 (7) ◽  
pp. 729-761 ◽  
Author(s):  
Damiano Testa ◽  
Anthony Várilly-Alvarado ◽  
Mauricio Velasco
Keyword(s):  
Del Pezzo Surfaces ◽  
Cox Rings ◽  
Del Pezzo

scholarly journals Cox rings of K3 surfaces of Picard number three

2021 ◽  
Vol 565 ◽  
pp. 598-626
Author(s):  
Michela Artebani ◽  
Claudia Correa Deisler ◽  
Antonio Laface
Keyword(s):  
K3 Surfaces ◽  
Picard Number ◽  
Cox Rings

scholarly journals A software package for Mori dream spaces

2015 ◽  
Vol 18 (1) ◽  
pp. 647-659 ◽  
Author(s):  
Jürgen Hausen ◽  
Simon Keicher
Keyword(s):  
Software Package ◽  
Toric Varieties ◽  
Quotient Singularity ◽  
Algebraic Varieties ◽  
Cox Rings ◽  
Cox Ring ◽  
Mori Dream Spaces ◽  
The Common ◽  
Symplectic Resolutions

Mori dream spaces form a large example class of algebraic varieties, comprising the well-known toric varieties. We provide a first software package for the explicit treatment of Mori dream spaces and demonstrate its use by presenting basic sample computations. The software package is accompanied by a Cox ring database which delivers defining data for Cox rings and Mori dream spaces in a suitable format. As an application of the package, we determine the common Cox ring for the symplectic resolutions of a certain quotient singularity investigated by Bellamy–Schedler and Donten-Bury–Wiśniewski.

scholarly journals Computing Cox rings

2015 ◽  
Vol 85 (297) ◽  
pp. 467-502 ◽  
Author(s):  
Jürgen Hausen ◽  
Simon Keicher ◽  
Antonio Laface
Keyword(s):  
Cox Rings

scholarly journals Log terminal singularities, platonic tuples and iteration of Cox rings

2017 ◽  
Vol 4 (1) ◽  
pp. 242-312 ◽  
Author(s):  
Ivan Arzhantsev ◽  
Lukas Braun ◽  
Jürgen Hausen ◽  
Milena Wrobel
Keyword(s):  
Cox Rings

scholarly journals Hilbert functions of Cox rings of del Pezzo surfaces

2017 ◽  
Vol 480 ◽  
pp. 309-331
Author(s):  
Jinhyung Park ◽  
Joonyeong Won
Keyword(s):  
Hilbert Functions ◽  
Del Pezzo Surfaces ◽  
Cox Rings ◽  
Del Pezzo

Rational surfaces with finitely generated Cox rings and very high Picard numbers

2016 ◽  
Vol 111 (2) ◽  
pp. 297-306 ◽  
Author(s):  
Brenda Leticia De La Rosa-Navarro ◽  
Juan Bosco Frías-Medina ◽  
Mustapha Lahyane
Keyword(s):  
Finitely Generated ◽  
Rational Surfaces ◽  
Cox Rings ◽  
Very High

scholarly journals Cox rings of extremal rational elliptic surfaces

2015 ◽  
Vol 368 (3) ◽  
pp. 1735-1757 ◽  
Author(s):  
Michela Artebani ◽  
Alice Garbagnati ◽  
Antonio Laface
Keyword(s):  
Elliptic Surfaces ◽  
Cox Rings ◽  
Rational Elliptic Surfaces
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