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
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[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 …
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) …
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 …
Vol. 12:e41 1–64 doi:10.1017/fms.2024.5 RESEARCH ARTICLE K-stable smooth Fano …
K-stability of Casagrande-Druel varieties
I Cheltsov, TD Guerreiro, K Fujita, I Krylov… - arXiv preprint arXiv …, 2023 - arxiv.org
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 …
dimensional varieties constructed from Fano double covers of dimension $ n-1$. We …
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 …
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 …
that $ H^ j (X,\Omega^ i_X\otimes L)= 0$ for every $ j> 0$, $ i\geq 0$, and $ L $ ample. This …
[PDF][PDF] On maximally non-factorial nodal Fano threefolds
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 …
2024 ON MAXIMALLY NON-FACTORIAL NODAL FANO THREEFOLDS IVAN CHELTSOV …
The K-moduli space of a family of conic bundle threefolds
K DeVleming, L Ji, P Kennedy-Hunt… - arXiv preprint arXiv …, 2024 - arxiv.org
We describe the 6-dimensional compact K-moduli space of Fano threefolds in deformation
family No 2.18. These Fano threefolds are double covers of $\mathbb P^ 1\times\mathbb P …
family No 2.18. These Fano threefolds are double covers of $\mathbb P^ 1\times\mathbb P …
[PDF][PDF] Equivariant geometry of singular cubic threefolds
I Cheltsov, Y Tschinkel, Z Zhang - arXiv preprint arXiv:2401.10974, 2024 - arxiv.org
arXiv:2401.10974v1 [math.AG] 19 Jan 2024 Page 1 arXiv:2401.10974v1 [math.AG] 19 Jan 2024
EQUIVARIANT GEOMETRY OF SINGULAR CUBIC THREEFOLDS IVAN CHELTSOV, YURI …
EQUIVARIANT GEOMETRY OF SINGULAR CUBIC THREEFOLDS IVAN CHELTSOV, YURI …