Found 527 Documents (Results 1–100)
On the birational geometry of \(\mathbb{Q}\)-Fano threefolds of large Fano index. I. (English) Zbl 07901293
Footnotes to a footnote of a paper by Fano. (English) Zbl 07870858
Reviewer: Amedeo Altavilla (Ancona)
Infinitesimal Torelli for weighted complete intersections and certain Fano threefolds. (English) Zbl 07857702
Reviewer: Jin-Xing Cai (Beijing)
On \(K\)-stability of \(\mathbb{P}^3\) blown up along the disjoint union of a twisted cubic curve and a line. (English) Zbl 07846314
The desingularization of the theta divisor of a cubic threefold as a moduli space. (English) Zbl 1542.14016
Reviewer: Joan Pons-Llopis (Maó)
Threefolds of globally \(F\)-regular type with nef anti-canonical divisor. arXiv:2410.03871
Preprint, arXiv:2410.03871 [math.AG] (2024).
Extendability of projective varieties via degeneration to ribbons with applications to Calabi-Yau threefolds. arXiv:2409.03960
Preprint, arXiv:2409.03960 [math.AG] (2024).
On the geometry of some quiver zero loci Fano fourfolds (with an appendix by E. Kalashnikov and F. Tufo). arXiv:2406.04389
Preprint, arXiv:2406.04389 [math.AG] (2024).
K-stability and space sextic curves of genus three. arXiv:2404.07803
Preprint, arXiv:2404.07803 [math.AG] (2024).
Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic. arXiv:2403.02596
Preprint, arXiv:2403.02596 [math.AG] (2024).
Kawamata-Miyaoka type inequality for canonical \(\mathbb Q\)-Fano varieties II: terminal \(\mathbb Q\)-Fano threefolds. arXiv:2401.04391
Preprint, arXiv:2401.04391 [math.AG] (2024).
K-stability of Fano 3-folds of Picard rank 3 and degree 22. arXiv:2401.02818
Preprint, arXiv:2401.02818 [math.AG] (2024).
Characterizing terminal Fano threefolds with the smallest anti-canonical volume. (English) Zbl 07828753
Cheltsov, Ivan (ed.) et al., Birational geometry, Kähler-Einstein metrics and degenerations. Proceedings of the conferences, Moscow, Russia, April 8–13, 2019, Shanghai, China, June 10–14, 2019, Pohang, South Korea, November 18–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 409, 355-362 (2023).
Birational rigidity of \(G\)-del Pezzo threefolds of degree 2. (English. Russian original) Zbl 1540.14028
Sb. Math. 214, No. 6, 757-792 (2023); translation from Mat. Sb. 214, No. 6, 3-40 (2023).
Bridgeland stability of minimal instanton bundles on Fano threefolds. (English) Zbl 1542.14023
Reviewer: Laura Pertusi (Milano)
Derived categories of hearts on Kuznetsov components. (English) Zbl 1532.14039
Reviewer: Reginald Anderson (Manhattan)
Rank two weak Fano bundles on del Pezzo threefolds of degree five. (English) Zbl 1527.14089
Reviewer: Damian Maingi (Nairobi)
On the singularities and on the projective normality of some Enriques-Fano threefolds. (English) Zbl 1530.14062
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 1, 1-59 (2023).
Reviewer: Roberto Muñoz (Madrid)
A note on the smooth blowups of \(\mathbb{P}(1,1,1,k)\) in torus-invariant subvarieties. (English) Zbl 1539.14114
Reviewer: Chuyu Zhou (Lausanne)
Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor. (English) Zbl 1531.14027
Reviewer: Emanuele Pavia (Trieste)
Equivariant pliability of the projective space. (English) Zbl 1531.14019
Reviewer: Lisa Marquand (New York)
K-stability of Fano threefolds of rank 4 and degree 24. (English) Zbl 1535.14093
Reviewer: Hamid Abban (Nottingham)
On Enriques-Fano threefolds and a conjecture of Castelnuovo. (English) Zbl 1522.14014
Reviewer: Roberto Muñoz (Madrid)
K-stable divisors in \(\mathbb{P}^1\times \mathbb{P}^1\times \mathbb{P}^2\) of degree \((1,1,2)\). (English) Zbl 1529.14023
Reviewer: Igor Krylov (Seoul)
Some Fano manifolds whose Hilbert polynomial is totally reducible over \(\mathbb{Q}\). (English) Zbl 1527.14012
Reviewer: Raquel Mallavibarrena (Madrid)
High-pliability Fano hypersurfaces. (English) Zbl 1523.14028
Reviewer: Anne-Sophie Kaloghiros (London)
Kuznetsov’s Fano threefold conjecture via \(K3\) categories and enhanced group actions. (English) Zbl 1533.14012
Reviewer: Adrian Langer (Warszawa)
An effective upper bound for anti-canonical volumes of canonical \(\mathbb{Q}\)-Fano three-folds. (English) Zbl 1527.14083
Rationality of Fano threefolds with terminal Gorenstein singularities. II. (English) Zbl 1512.14023
Reviewer: Guolei Zhong (Daejeon)
Polyvector fields for Fano 3-folds. (English) Zbl 1516.14077
Reviewer: Luca Rizzi (Udine)
Finite quasisimple groups acting on rationally connected threefolds. (English) Zbl 1518.14015
Reviewer: Yusuf Mustopa (Boston)
The Calabi problem for Fano threefolds. (English) Zbl 1536.14032
London Mathematical Society Lecture Note Series 485. Cambridge: Cambridge University Press (ISBN 978-1-00-919339-9/pbk; 978-1-00-919338-2/ebook). viii, 442 p. (2023).
Reviewer: Luca Chiantini (Siena)
Serre-invariant stability conditions and Ulrich bundles on cubic threefolds. (English) Zbl 1514.14021
Reviewer: Debojyoti Bhattacharya (Gandhinagar)
The defect of a cubic threefold. arXiv:2312.05118
Preprint, arXiv:2312.05118 [math.AG] (2023).
Blowups of smooth Fano hypersurfaces, their birational geometry and divisorial stability. arXiv:2311.11386
Preprint, arXiv:2311.11386 [math.AG] (2023).
On explicit bounds of Fano threefolds. arXiv:2311.06732
Preprint, arXiv:2311.06732 [math.AG] (2023).
K-moduli of Fano threefolds in family 3.10. arXiv:2309.12524
Preprint, arXiv:2309.12524 [math.AG] (2023).
K-stability of Casagrande-Druel varieties. arXiv:2309.12522
Preprint, arXiv:2309.12522 [math.AG] (2023).
One-dimensional components in the K-moduli of smooth Fano 3-folds. arXiv:2309.12518
Preprint, arXiv:2309.12518 [math.AG] (2023).
Kawamata–Miyaoka type inequality for canonical \(\mathbb{Q}\)-Fano varieties. arXiv:2308.10440
Preprint, arXiv:2308.10440 [math.AG] (2023).
An effective upper bound for anti-canonical volumes of singular Fano threefolds. arXiv:2304.06347
Preprint, arXiv:2304.06347 [math.AG] (2023).
Bott vanishing for Fano 3-folds. arXiv:2302.08142
Preprint, arXiv:2302.08142 [math.AG] (2023).
Conic bundle structures on \(\mathbb{Q}\)-Fano threefolds. (English) Zbl 1518.14061
Reviewer: Noriko Yui (Kingston)
Even and odd instanton bundles on Fano threefolds. (English) Zbl 1508.14047
Reviewer: Damian Maingi (Nairobi)
Fano threefolds. (Трехмерные многообразия.) (Russian) Zbl 1528.14053
Lektsionnye Kursy NOTs 31. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 978-5-98419-085-5). 153 p., open access (2022).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
On deformations of toric Fano varieties. (English) Zbl 1502.14095
Kasprzyk, Alexander M. (ed.) et al., Interactions with lattice polytopes. Selected papers based on the presentations at the workshop, Magdeburg, Germany, September 14–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 386, 287-314 (2022).
Fano 3-folds from homogeneous vector bundles over Grassmannians. (English) Zbl 1498.14105
Reviewer: Hanieh Keneshlou (Leipzig)
Some remarks on Fano three-folds of index two and stability conditions. (English) Zbl 1520.14080
Reviewer: Lorenzo De Biase (Bologna)
Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold. (English) Zbl 1502.14037
Reviewer: Annalisa Grossi (Chemnitz)
Vector bundles on Fano threefolds and \(K3\) surfaces. (English) Zbl 1498.14113
Reviewer: Maria Chiara Brambilla (Ancona)
Tom and Jerry triples with an application to Fano 3-folds. (English) Zbl 1492.14086
Reviewer: Jorge Neves (Coimbra)
Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four. (English) Zbl 1490.14069
Reviewer: Roberto Muñoz (Madrid)
Codimension two integral points on some rationally connected threefolds are potentially dense. (English) Zbl 1492.14072
Reviewer: Noriko Yui (Kingston)
Toric \(G\)-Fano threefolds. (English) Zbl 1492.14018
Reviewer: Ilya Karzhemanov (Moskva)
Gorenstein formats, canonical and Calabi-Yau threefolds. (English) Zbl 1492.14071
Reviewer: Hulya Arguz (London)
Birational self-maps of threefolds of (un)-bounded genus or gonality. (English) Zbl 1489.14025
Reviewer: Chen Jiang (Shanghai)
On the automorphisms of Mukai varieties. (English) Zbl 1493.14067
Reviewer: Chenyu Bai (Paris)
Geometric Manin’s Conjecture for Fano 3-Folds. arXiv:2209.05517
Preprint, arXiv:2209.05517 [math.AG] (2022).
Kawamata boundedness for Fano threefolds and the Graded Ring Database. arXiv:2201.07178
Preprint, arXiv:2201.07178 [math.AG] (2022).
Bigness of the tangent bundle of a Fano threefold with Picard number two. arXiv:2201.06351
Preprint, arXiv:2201.06351 [math.AG] (2022).
\(K\)-polystability of smooth Fano \(\text{SL}_2\)-threefolds. arXiv:2201.04097
Preprint, arXiv:2201.04097 [math.AG] (2022).
On geometry of Fano threefold hypersurfaces. (English) Zbl 1497.14077
Farkas, Gavril (ed.) et al., Rationality of varieties. Proceedings of the conference, Island of Schiermonnikoog, The Netherlands, spring 2019. Cham: Birkhäuser. Prog. Math. 342, 1-14 (2021).
Boundedness of anti-canonical volumes of singular \(\log\) Fano threefolds. (English) Zbl 1497.14081
Reviewer: Chuyu Zhou (Beijing)
Corrigendum to: “Classification of varieties with canonical curve section via Gaussian maps on canonical curves”. (English) Zbl 1478.14061
Compactification of the moduli space of minimal instantons on the Fano threefold \(V_4\). (English) Zbl 1481.14060
Reviewer: Krishanu Dan (Odisha)
On the boundedness of anti-canonical volumes of singular Fano 3-folds in characteristic \(p>5\). (English) Zbl 1489.14053
Reviewer: Justin Lacini (Lawrence)
On Kawamata-Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic. (English) Zbl 1467.14055
On anticanonical volumes of weak \(\mathbb{Q}\)-Fano terminal threefolds of Picard rank two. (English) Zbl 1467.14096
Alpha invariants of birationally bi-rigid Fano 3-folds I. (English) Zbl 1479.14050
Reviewer: Adrien Dubouloz (Dijon)
Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces. (English) Zbl 1460.14087
Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions. II. (English) Zbl 1485.53105
Reviewer: Manuel de León (Madrid)
Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions. III. (English) Zbl 1485.53104
Reviewer: Ilya Karzhemanov (Moskva)
Fano manifolds of coindex three admitting nef tangent bundle. (English) Zbl 1457.14091
Reviewer: Roberto Muñoz (Madrid)
From cracked polytopes to Fano threefolds. (English) Zbl 1456.14049
Reviewer: Carla Novelli (Padova)
Varieties with ample Frobenius-trace kernel. arXiv:2110.15035
Preprint, arXiv:2110.15035 [math.AG] (2021).
Rank two weak Fano bundles on del Pezzo threefolds of Picard rank one. arXiv:2105.10768
Preprint, arXiv:2105.10768 [math.AG] (2021).
Birational geometry of sextic double solids with a compound \(A_n\) singularity. arXiv:2101.00501
Preprint, arXiv:2101.00501 [math.AG] (2021).
On the anti-canonical geometry of weak \(\mathbb{Q}\)-Fano threefolds. II. (Sur la géométrie anticanonique des variétés faiblement \(\mathbb{Q}\)-Fano de dimension trois. II.) (English. French summary) Zbl 1472.14043
On Fano schemes of complete intersections. (English) Zbl 1455.14094
Kuroda, Shigeru (ed.) et al., Polynomial rings and affine algebraic geometry. Selected papers based on the presentations at the conference, PRAAG 2018, Tokyo, Japan, February 12–16, 2018. Cham: Springer. Springer Proc. Math. Stat. 319, 1-39 (2020).
Seshadri constants of the anticanonical divisors of Fano manifolds with large index. (English) Zbl 1456.14011
Reviewer: Roberto Muñoz (Madrid)
Birational Mori fiber structures of \(\mathbb{Q}\)-Fano 3-fold weighted complete intersections. III. (English) Zbl 1458.14050
Reviewer: Livia Campo (Nottingham)
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