K-stability of Casagrande–Druel varieties

I Cheltsov, T Duarte Guerreiro, K Fujita… - Journal für die reine …, 2025 - degruyter.com
We introduce a new subclass of Fano varieties (Casagrande–Druel varieties) that are 𝑛-
dimensional varieties constructed from Fano double covers of dimension n− 1. We …

K-stability of Fano threefolds of rank 3 and degree 14

G Belousov, K Loginov - ANNALI DELL'UNIVERSITA'DI FERRARA, 2024 - Springer
K-stability of Fano threefolds of rank 3 and degree 14 | ANNALI DELL'UNIVERSITA' DI
FERRARA Skip to main content SpringerLink Account Menu Find a journal Publish with us …

[PDF][PDF] K-stable Fano threefolds of rank 2 and degree 28

J Malbon - arXiv preprint arXiv:2304.12295, 2023 - arxiv.org
arXiv:2304.12295v1 [math.AG] 24 Apr 2023 Page 1 arXiv:2304.12295v1 [math.AG] 24 Apr
2023 K-STABLE FANO THREEFOLDS OF RANK 2 AND DEGREE 28 JOSEPH MALBON …

K-STABLE DIVISORS IN

I Cheltsov, K Fujita, T Kishimoto… - Nagoya Mathematical …, 2023 - cambridge.org
K-STABLE DIVISORS IN P1 ×P1 ×P2 OF DEGREE (1,1,2) Page 1 Nagoya Math. J., 251 (2023),
686–714 DOI 10.1017/nmj.2023.5 K-STABLE DIVISORS IN P1 ×P1 ×P2 OF DEGREE (1,1,2) …

K-stable smooth Fano threefolds of Picard rank two

I Cheltsov, E Denisova, K Fujita - Forum of Mathematics, Sigma, 2024 - cambridge.org
K-stable smooth Fano threefolds of Picard rank two Page 1 Forum of Mathematics, Sigma (2024),
Vol. 12:e41 1–64 doi:10.1017/fms.2024.5 RESEARCH ARTICLE K-stable smooth Fano …

Bott vanishing for Fano threefolds

B Totaro - Mathematische Zeitschrift, 2024 - Springer
Bott proved a strong vanishing theorem for sheaf cohomology on projective space, namely
that H j (X, Ω X i⊗ L)= 0 for j> 0, i≥ 0, and L ample. This holds for toric varieties, but not for …

Bott vanishing for Fano 3-folds

B Totaro - arXiv preprint arXiv:2302.08142, 2023 - arxiv.org
Bott proved a strong vanishing theorem for sheaf cohomology on projective space, namely
that $ H^ j (X,\Omega^ i_X\otimes L)= 0$ for every $ j> 0$, $ i\geq 0$, and $ L $ ample. This …

Compactifications of moduli of del Pezzo surfaces via line arrangement and K-stability

J Zhao - Canadian Journal of Mathematics, 2024 - cambridge.org
In this paper, we study compactifications of the moduli of smooth del Pezzo surfaces using K-
stability and the line arrangement. We construct K-moduli of log del Pezzo pairs with sum of …

[PDF][PDF] On maximally non-factorial nodal Fano threefolds

I Cheltsov, I Krylov, JM Garcia, E Shinder - arXiv preprint arXiv:2305.09081, 2023 - arxiv.org
arXiv:2305.09081v2 [math.AG] 1 Mar 2024 Page 1 arXiv:2305.09081v2 [math.AG] 1 Mar
2024 ON MAXIMALLY NON-FACTORIAL NODAL FANO THREEFOLDS IVAN CHELTSOV …

Asymptotics of discrete Okounkov bodies and thresholds

C Jin, YA Rubinstein, G Tian - arXiv preprint arXiv:2410.20694, 2024 - arxiv.org
arXiv:2410.20694v1 [math.AG] 28 Oct 2024 Page 1 arXiv:2410.20694v1 [math.AG] 28 Oct
2024 Asymptotics of discrete Okounkov bodies and thresholds Chenzi Jin, Yanir A. Rubinstein …