[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 …
[图书][B] Algebraic theory of locally nilpotent derivations
G Freudenburg - 2006 - Springer
But, in the further development of a branch of mathematics, the human mind, encouraged by
the success of its solutions, becomes conscious of its independence. It evolves from itself …
the success of its solutions, becomes conscious of its independence. It evolves from itself …
Asymptotic invariants of base loci
L Ein, R Lazarsfeld, M Mustaţă, M Nakamaye… - Annales de l'institut …, 2006 - numdam.org
Bs (mD), where Bs (mD) denotes the base locus of the linear system| mD|. This is an
interesting and basic invariant, but well-known pathologies associated to linear series have …
interesting and basic invariant, but well-known pathologies associated to linear series have …
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 …
Towards non-reductive geometric invariant theory
B Doran, F Kirwan - arXiv preprint math/0703131, 2007 - arxiv.org
We study linear actions of algebraic groups on smooth projective varieties X. A guiding goal
for us is to understand the cohomology of" quotients" under such actions, by generalizing …
for us is to understand the cohomology of" quotients" under such actions, by generalizing …
Sagbi bases of Cox–Nagata rings
B Sturmfels, Z Xu - Journal of the European Mathematical Society, 2010 - ems.press
We degenerate Cox–Nagata rings to toric algebras by means of sagbi bases induced by
configurations over the rational function field. For del Pezzo surfaces, this degeneration …
configurations over the rational function field. For del Pezzo surfaces, this degeneration …
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 …
Effective cones of cycles on blowups of projective space
I Coskun, J Lesieutre, J Ottem - Algebra & Number Theory, 2016 - msp.org
In this paper we study the cones of higher codimension (pseudo) effective cycles on point
blowups of projective space. We determine bounds on the number of points for which these …
blowups of projective space. We determine bounds on the number of points for which these …
The Cox ring of\overline {𝑀} _ {0, 6}
AM Castravet - Transactions of the American Mathematical Society, 2009 - ams.org
We prove that the Cox ring of the moduli space $\overline {M} _ {0, 6} $, of stable rational
curves with $6 $ marked points, is finitely generated by sections corresponding to the …
curves with $6 $ marked points, is finitely generated by sections corresponding to the …
Explicit log Fano structures on blow-ups of projective spaces
C Araujo, A Massarenti - Proceedings of the London …, 2016 - academic.oup.com
Explicit log Fano structures on blow-ups of projective spaces | Proceedings of the London
Mathematical Society | Oxford Academic Skip to Main Content Advertisement Oxford …
Mathematical Society | Oxford Academic Skip to Main Content Advertisement Oxford …