ACC for minimal log discrepancies of exceptional singularities
In this paper, we study the ascending chain condition (ACC) conjecture for minimal log
discrepancies (mlds), proposed by the third author. We show the ACC conjecture holds for …
discrepancies (mlds), proposed by the third author. We show the ACC conjecture holds for …
Boundedness of -Fano varieties with degrees and alpha-invariants bounded from below
C Jiang - arXiv preprint arXiv:1705.02740, 2017 - arxiv.org
We show that $\mathbb {Q} $-Fano varieties of fixed dimension with anti-canonical degrees
and alpha-invariants bounded from below form a bounded family. As a corollary, K …
and alpha-invariants bounded from below form a bounded family. As a corollary, K …
Optimal bounds on surfaces
J Liu, VV Shokurov - arXiv preprint arXiv:2305.19248, 2023 - arxiv.org
We prove that the first gap of $\mathbb R $-complementary thresholds of surfaces is $\frac
{1}{13} $. More precisely, the largest $\mathbb R $-complementary threshold for surfaces …
{1}{13} $. More precisely, the largest $\mathbb R $-complementary threshold for surfaces …
Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
IA Cheltsov, YA Rubinstein, K Zhang - Selecta Mathematica, 2019 - Springer
The purpose of this article is to develop techniques for estimating basis log canonical
thresholds on logarithmic surfaces. To that end, we develop new local intersection estimates …
thresholds on logarithmic surfaces. To that end, we develop new local intersection estimates …
Klt varieties with conjecturally minimal volume
B Totaro - International Mathematics Research Notices, 2024 - academic.oup.com
We construct klt projective varieties with ample canonical class and the smallest known
volume. We also find exceptional klt Fano varieties with the smallest known anti-canonical …
volume. We also find exceptional klt Fano varieties with the smallest known anti-canonical …
Four-dimensional projective orbifold hypersurfaces
G Brown, A Kasprzyk - Experimental Mathematics, 2016 - Taylor & Francis
We classify four-dimensional quasismooth weighted hypersurfaces with small canonical
class and verify a conjecture of Johnson and Kollár on infinite series of quasismooth …
class and verify a conjecture of Johnson and Kollár on infinite series of quasismooth …
Cylinders in del Pezzo surfaces
On del Pezzo surfaces, we study effective ample \BBR-divisors such that the complements of
their supports are isomorphic to \BBA^1-bundles over smooth affine curves. All considered …
their supports are isomorphic to \BBA^1-bundles over smooth affine curves. All considered …
Cylinders in Fano varieties.
Cylinders in Fano varieties Page 1 EMS Surv. Math. Sci. 8 (2021), 39–105 DOI 10.4171/EMSS/44
© 2021 European Mathematical Society Published by EMS Press This work is licensed under …
© 2021 European Mathematical Society Published by EMS Press This work is licensed under …
On K‐stability of some del Pezzo surfaces of Fano index 2
Y Liu, A Petracci - Bulletin of the London Mathematical Society, 2022 - Wiley Online Library
For every integer a⩾ 2 a\geqslant2, we relate the K‐stability of hypersurfaces in the
weighted projective space P (1, 1, a, a) P(1,1,a,a) of degree 2 a 2a with the GIT stability of …
weighted projective space P (1, 1, a, a) P(1,1,a,a) of degree 2 a 2a with the GIT stability of …
Del Pezzo zoo
I Cheltsov, C Shramov - Experimental Mathematics, 2013 - Taylor & Francis
Full article: Del Pezzo Zoo Skip to Main Content Taylor and Francis Online homepage Taylor
and Francis Online homepage Log in | Register Cart 1.Home 2.All Journals 3.Experimental …
and Francis Online homepage Log in | Register Cart 1.Home 2.All Journals 3.Experimental …