scholarly journals Mori dream spaces and birational rigidity of Fano 3-folds

2016 ◽  
Vol 292 ◽  
pp. 410-445 ◽  
Author(s):  
Hamid Ahmadinezhad ◽  
Francesco Zucconi
Keyword(s):  
Birational Rigidity ◽  
Mori Dream Spaces

scholarly journals On embeddings of Mori dream spaces

2013 ◽  
Vol 170 (1) ◽  
pp. 281-288 ◽  
Author(s):  
John Levitt
Keyword(s):  
Mori Dream Spaces

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 Constructing non-Mori Dream Spaces from negative curves

2019 ◽  
Vol 539 ◽  
pp. 118-137
Author(s):  
Javier González Anaya ◽  
José Luis González ◽  
Kalle Karu
Keyword(s):  
Mori Dream Spaces

scholarly journals Canonical and log canonical thresholds of multiple projective spaces

2019 ◽  
Author(s):  
Aleksandr V. Pukhlikov
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Regularity Conditions ◽  
Large Classes ◽  
Log Canonical Threshold ◽  
Birational Rigidity ◽  
Log Canonical ◽  
Finite Set ◽  
Dimensional Projective Space ◽  
Almost All

AbstractWe show that the global (log) canonical threshold of d-sheeted covers of the M-dimensional projective space of index 1, where $$d\geqslant 4$$d⩾4, is equal to 1 for almost all families (except for a finite set). The varieties are assumed to have at most quadratic singularities, the rank of which is bounded from below, and to satisfy the regularity conditions. This implies birational rigidity of new large classes of Fano–Mori fibre spaces over a base, the dimension of which is bounded from above by a constant that depends (quadratically) on the dimension of the fibre only.

scholarly journals Hypersurfaces in Mori dream spaces

2012 ◽  
Vol 371 ◽  
pp. 26-37 ◽  
Author(s):  
Michela Artebani ◽  
Antonio Laface
Keyword(s):  
Mori Dream Spaces

scholarly journals Effective Birational Rigidity of Fano Double Hypersurfaces

2018 ◽  
Vol 4 (3-4) ◽  
pp. 505-521
Author(s):  
Thomas Eckl ◽  
Aleksandr Pukhlikov
Keyword(s):  
Birational Rigidity
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