[图书][B] Cox rings
I Arzhantsev - 2015 - books.google.com
Cox rings are significant global invariants of algebraic varieties, naturally generalizing
homogeneous coordinate rings of projective spaces. This book provides a largely self …
homogeneous coordinate rings of projective spaces. This book provides a largely self …
Singular del Pezzo surfaces whose universal torsors are hypersurfaces
U Derenthal - Proceedings of the London Mathematical Society, 2014 - Wiley Online Library
We classify all generalized del Pezzo surfaces (that is, minimal desingularizations of
singular del Pezzo surfaces containing only rational double points) whose universal torsors …
singular del Pezzo surfaces containing only rational double points) whose universal torsors …
The cone conjecture for Calabi-Yau pairs in dimension 2
B Totaro - 2010 - projecteuclid.org
Abstract We prove the Morrison-Kawamata cone conjecture for Kawamata log terminal
Calabi-Yau pairs in dimension 2. For a large class of rational surfaces as well as for K3 …
Calabi-Yau pairs in dimension 2. For a large class of rational surfaces as well as for K3 …
Big rational surfaces
Mathematische Annalen Page 1 Math. Ann. (2011) 351:95–107 DOI 10.1007/s00208-010-0590-7
Mathematische Annalen Big rational surfaces Damiano Testa · Anthony Várilly-Alvarado …
Mathematische Annalen Big rational surfaces Damiano Testa · Anthony Várilly-Alvarado …
On Cox rings of K3 surfaces
We study Cox rings of K3 surfaces. A first result is that a K3 surface has a finitely generated
Cox ring if and only if its effective cone is rational polyhedral. Moreover, we investigate …
Cox ring if and only if its effective cone is rational polyhedral. Moreover, we investigate …
Global aspects of the geometry of surfaces
B Harbourne - arXiv preprint arXiv:0907.4151, 2009 - arxiv.org
These notes (prepared for the author's lectures at the Cracow Summer School on Linear
Systems organized by S. Mueller-Stach and T. Szemberg, held March 23-27, 2009 at the …
Systems organized by S. Mueller-Stach and T. Szemberg, held March 23-27, 2009 at the …
[HTML][HTML] The cone of curves and the Cox ring of rational surfaces given by divisorial valuations
C Galindo, F Monserrat - Advances in Mathematics, 2016 - Elsevier
We consider surfaces X defined by plane divisorial valuations ν of the quotient field of the
local ring R at a closed point p of the projective plane P 2 over an arbitrary algebraically …
local ring R at a closed point p of the projective plane P 2 over an arbitrary algebraically …
Minimal plane valuations
C Galindo, F Monserrat… - arXiv preprint arXiv …, 2016 - arxiv.org
We consider the last value $\hat {\mu}(\nu) $ of the vanishing sequence of $ H^ 0 (L) $ along
a divisorial or irrational valuation $\nu $ centered at $\mathcal {O} _ {\mathbb {P}^ 2, p} …
a divisorial or irrational valuation $\nu $ centered at $\mathcal {O} _ {\mathbb {P}^ 2, p} …
Algebraic surfaces and hyperbolic geometry
B Totaro - arXiv preprint arXiv:1008.3825, 2010 - arxiv.org
This is a survey of the Kawamata-Morrison cone conjecture on the structure of Calabi-Yau
varieties and more generally Calabi-Yau pairs. We discuss the proof of the cone conjecture …
varieties and more generally Calabi-Yau pairs. We discuss the proof of the cone conjecture …
Cox rings of K3 surfaces with Picard number 2
JC Ottem - Journal of Pure and Applied Algebra, 2013 - Elsevier
Cox rings of K3 surfaces with Picard number 2 Page 1 Journal of Pure and Applied Algebra
217 (2013) 709–715 Contents lists available at SciVerse ScienceDirect Journal of Pure and …
217 (2013) 709–715 Contents lists available at SciVerse ScienceDirect Journal of Pure and …