Iteration of Cox rings of klt singularities
In this article, we study the iteration of Cox rings of klt singularities (and Fano varieties) from
a topological perspective. Given a klt singularity (X, Δ; x) (X,Δ;x), we define the iteration of …
a topological perspective. Given a klt singularity (X, Δ; x) (X,Δ;x), we define the iteration of …
On smooth Fano fourfolds of Picard number two
On smooth Fano fourfolds of Picard number two Page 1 Rev. Mat. Iberoam. 38 (2022), no. 1,
53–93 DOI 10.4171/RMI/1271 © 2021 Real Sociedad Matemática Española Published by EMS …
53–93 DOI 10.4171/RMI/1271 © 2021 Real Sociedad Matemática Española Published by EMS …
Computing automorphisms of Mori dream spaces
J Hausen, S Keicher, R Wolf - Mathematics of Computation, 2017 - ams.org
We present an algorithm to compute the automorphism group of a Mori dream space. As an
example calculation, we determine the automorphism groups of singular cubic surfaces with …
example calculation, we determine the automorphism groups of singular cubic surfaces with …
The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
V Blomer, J Brüdern, U Derenthal… - Forum of Mathematics …, 2024 - cambridge.org
The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one Page 1
Forum of Mathematics, Sigma (2024), Vol. 12:e11 1–93 doi:10.1017/fms.2023.123 RESEARCH …
Forum of Mathematics, Sigma (2024), Vol. 12:e11 1–93 doi:10.1017/fms.2023.123 RESEARCH …
Platonic Harbourne-Hirschowitz Rational Surfaces
BL De La Rosa-Navarro, JB Frías-Medina… - … Journal of Mathematics, 2020 - Springer
The aim of this work was to study the finite generation of the effective monoid and Cox ring of
a Platonic Harbourne-Hirschowitz rational surface with an anticanonical divisor not reduced …
a Platonic Harbourne-Hirschowitz rational surface with an anticanonical divisor not reduced …
Geometric description of< 2>-polarised Hilbert squares of generic K3 surfaces
S Novario - Journal of Pure and Applied Algebra, 2023 - Elsevier
A generic K3 surface of degree 2t is a general complex projective K3 surface S 2 t whose
Picard group is generated by the class of an ample divisor H∈ Div (S 2 t) such that H 2= 2 t …
Picard group is generated by the class of an ample divisor H∈ Div (S 2 t) such that H 2= 2 t …
Cox rings of morphisms and resolution of singularities
J Włodarczyk - arXiv preprint arXiv:2301.12452, 2023 - arxiv.org
We extend the Cox-Hu-Keel construction of the Cox rings to any proper birational
morphisms of normal noetherian schemes. It allows the representation of any proper …
morphisms of normal noetherian schemes. It allows the representation of any proper …
Integral points of bounded height on a log Fano threefold
F Wilsch - International Mathematics Research Notices, 2023 - academic.oup.com
Integral Points of Bounded Height on a Log Fano Threefold Page 1 F. Wilsch (2023) “Integral
Points of Bounded Height on a Log Fano Threefold,” International Mathematics Research …
Points of Bounded Height on a Log Fano Threefold,” International Mathematics Research …
Rational approximations on toric varieties
Z Huang - Algebra & Number Theory, 2021 - msp.org
Using the universal torsor method due to Salberger, we study the approximation of a general
fixed point by rational points on split toric varieties. We prove that under certain geometric …
fixed point by rational points on split toric varieties. We prove that under certain geometric …
Projective and birational geometry of grassmannians and other special varieties
R Rischter - arXiv preprint arXiv:1705.05673, 2017 - arxiv.org
Projective and birational geometry of Grassmannians and other special varieties Page 1
arXiv:1705.05673v1 [math.AG] 16 May 2017 Instituto Nacional de Matemática Pura e Aplicada …
arXiv:1705.05673v1 [math.AG] 16 May 2017 Instituto Nacional de Matemática Pura e Aplicada …