Found 234 Documents (Results 1–100)
Asymptotic construction of the optimal degeneration for a Fano manifold. (English) Zbl 07924252
Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 225-237 (2024).
Kähler-Einstein metrics on smooth Fano toroidal symmetric varieties of type AIII. (English) Zbl 07863348
Reviewer: Alessandro Ruzzi (Montreuil)
Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties. (English) Zbl 07822000
On K-stability of Fano weighted hypersurfaces. (English) Zbl 1539.14081
Reviewer: Roberto Muñoz (Madrid)
On K-semistable domains – more examples. (English) Zbl 1541.14060
Reviewer: Hamid Abban (Nottingham)
MSC:
14J45
On the Cheltsov-Rubinstein conjecture. (English) Zbl 07828778
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, 865-883 (2023).
A 1-dimensional component of K-moduli of del Pezzo surfaces. (English) Zbl 07828771
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, 709-723 (2023).
Simply connected Sasaki-Einstein 5-manifolds: old and new. (English) Zbl 07828768
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, 665-680 (2023).
Reviewer: Thibaut Delcroix (Montpellier)
Some observations on the dimension of Fano K-moduli. (English) Zbl 07828765
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, 609-616 (2023).
K-stability and Fujita approximation. (English) Zbl 1540.32010
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, 545-566 (2023).
On singular del Pezzo hypersurfaces of index 3. (English) Zbl 07828756
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, 409-422 (2023).
Reviewer: João Paulo Figueredo (São Paulo)
On Fano threefolds of degree 22 after Cheltsov and Shramov. (English) Zbl 1539.14091
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, 249-262 (2023).
The Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds. (English) Zbl 1539.32007
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, 205-223 (2023).
A note on families of K-semistable log-Fano pairs. (English) Zbl 1539.14011
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, 195-203 (2023).
K-polystability of two smooth Fano threefolds. (English) Zbl 1539.14088
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, 165-193 (2023).
MSC:
14J45
Canonical Kähler metrics and stability of algebraic varieties. (English) Zbl 1541.32007
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2286-2310 (2023).
Reviewer: Rolf Andreasson (Gothenburg)
K-stability for varieties with a big anticanonical class. (English) Zbl 1537.14065
Épijournal de Géom. Algébr., EPIGA 2023, Spec. Vol. in honour of Claire Voisin, Article 7, 9 p. (2023).
Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics. (English) Zbl 1528.32036
A Yau-Tian-Donaldson correspondence on a class of toric fibrations. (Une correspondance du type Yau-Tian-Donaldson sur une large classe de fibrés de toriques.) (English. French summary) Zbl 07756911
Reviewer: Lars Martin Sektnan (Gothenburg)
K-stability of Fano threefolds of rank 4 and degree 24. (English) Zbl 1535.14093
Reviewer: Hamid Abban (Nottingham)
Expectations, concave transforms, Chow weights and Roth’s theorem for varieties. (English) Zbl 1525.14011
Reviewer: David McKinnon (Waterloo)
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)
On K-stability for Fano threefolds of rank 3 and degree 28. (English) Zbl 1539.14090
Reviewer: Ilya Karzhemanov (Moskva)
Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications. (English) Zbl 1529.53089
Reviewer: Thibaut Delcroix (Montpellier)
Corrigenda to: “Relative algebro-geometric stabilities of toric manifolds”. (English) Zbl 1519.53061
Geometric flow, multiplier ideal sheaves and optimal destabilizer for a Fano manifold. (English) Zbl 1522.53085
Reviewer: Marek Jarnicki (Kraków)
An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations. (Une condition de K-stabilité à poids effective pour les polytopes et les fibrations principales semisimples toriques.) (English. French summary) Zbl 1531.14063
Reviewer: Anne-Sophie Kaloghiros (London)
Uniform K-stability of polarized spherical varieties. (English) Zbl 1520.14098
Reviewer: Matthew Dawes (Cardiff)
Seshadri constants and K-stability of Fano manifolds. (English) Zbl 1511.14068
Reviewer: Igor Krylov (Seoul)
The existence of the Kähler-Ricci soliton degeneration. (English) Zbl 1516.14078
Reviewer: Chuyu Zhou (Lausanne)
Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points. (English) Zbl 1541.14059
Reviewer: Davide Fusi (Bluffton)
Scalar curvature and deformations of complex structures. (English) Zbl 1517.53076
Reviewer: Ioannis D. Platis (Heraklion)
Vertices of the Harder and Narasimhan polygons and the laws of large numbers. (English) Zbl 1509.14037
Reviewer: David McKinnon (Waterloo)
On wall-crossing for \(K\)-stability. (English) Zbl 1515.14046
Reviewer: Chen Jiang (Shanghai)
MSC:
14J10
\(K\)-stability of Fano threefolds of rank 2 and degree 14 as double covers. (English) Zbl 1508.14046
Reviewer: Chuyu Zhou (Lausanne)
MSC:
14J45
Filtrations and Chow stability revisited. (Chinese. English summary) Zbl 07822712
MSC:
53C55
On K-stability of some del Pezzo surfaces of Fano index 2. (English) Zbl 1519.14040
Reviewer: Chen Jiang (Shanghai)
K-stability of log del Pezzo hypersurfaces with index 2. (English) Zbl 1515.14050
Reviewer: Igor Krylov (Seoul)
Optimal destabilization of K-unstable Fano varieties via stability thresholds. (English) Zbl 1514.14040
K-stability of Gorenstein Fano group compactifications with rank two. (English) Zbl 1508.14060
Reviewer: Alessandro Ruzzi (Montreuil)
Geodesic rays and stability in the lowercase cscK problem. (English. French summary) Zbl 1508.58004
Reviewer: Radu Precup (Cluj-Napoca)
Openness of K-semistability for Fano varieties. (English) Zbl 1503.14040
Reviewer: Chuyu Zhou (Lausanne)
The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties. (English) Zbl 1504.32068
Examples of K-unstable Fano manifolds. (Exemples de variétés de Fano K-instables.) (English. French summary) Zbl 1503.14047
Reviewer: Matthew Dawes (Cardiff)
Finite generation for valuations computing stability thresholds and applications to K-stability. (English) Zbl 1503.14041
Reviewer: Christopher Hacon (Salt Lake City)
\(K\)-stability: the recent interaction between algebraic geometry and complex geometry. (English) Zbl 1502.14096
Reviewer: Jie Liu (Beijing)
Kähler-Einstein metrics on Pasquier’s two-orbits varieties. (English) Zbl 1494.14032
Reviewer: Chenyu Bai (Paris)
K-stability of Fano varieties via admissible flags. (English) Zbl 1499.14066
Reviewer: Yuchen Liu (Evanston)
Alpha invariant along curves for general polarizations of del Pezzo surfaces of degree 2. (English) Zbl 1491.14056
Openness of uniform K-stability in families of \(\mathbb{Q}\)-Fano varieties. (English. French summary) Zbl 1504.14067
Reviewer: Ruadhaí Dervan (Glasgow)
K-stability of cubic fourfolds. (English) Zbl 1491.14061
Reviewer: Chen Jiang (Shanghai)
On uniform K-stability for some asymptotically log del Pezzo surfaces. (English) Zbl 1495.14061
Reviewer: Aimeric Malter (Birmingham)
On the sharpness of Tian’s criterion for K-stability. (English) Zbl 1489.14054
Reviewer: Chen Jiang (Shanghai)
Erratum to: “Uniform K-stability and asymptotics of energy functionals in Kähler geometry”. (English) Zbl 1483.53087
Equivariant \(K\)-stability under finite group action. (English) Zbl 1487.14089
Reviewer: Jie Liu (Beijing)
Uniform K-stability and conformally Kähler, Einstein-Maxwell geometry on toric manifolds. (English) Zbl 1486.53061
On irregular Sasaki-Einstein metrics in dimension 5. (English. Russian original) Zbl 1491.53062
Sb. Math. 212, No. 9, 1261-1278 (2021); translation from Mat. Sb. 212, No. 9, 75-93 (2021).
Reviewer: Andreas Arvanitoyeorgos (Patras)
Birational superrigidity and K-stability of projectively normal Fano manifolds of index one. (English) Zbl 1492.14076
Reviewer: Nikolaos Tziolas (Lefkosía)
Examples on Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups. (Exemples de filtrations de Loewy et K-stabilité des variétés de Fano avec groupes d’automorphismes non réductifs.) (English. French summary) Zbl 1491.14060
K-stability of log Fano hyperplane arrangements. (English) Zbl 1482.14043
Reviewer: Chuyu Zhou (Beijing)
Deformed Hermitian Yang-Mills connections, extended gauge group and scalar curvature. (English) Zbl 1481.53033
Optimal destabilizing centers and equivariant K-stability. (English) Zbl 1483.14076
Reviewer: Yuchen Liu (Evanston)
Weighted K-stability of polarized varieties and extremality of Sasaki manifolds. (English) Zbl 1478.53081
K-stability of Fano varieties: an algebro-geometric approach. (English) Zbl 1476.14030
Reviewer: Jie Liu (Nice)
On properness of K-moduli spaces and optimal degenerations of Fano varieties. (English) Zbl 1477.14021
Reviewer: Christopher Hacon (Salt Lake City)
Simply connected Sasaki-Einstein rational homology 5-spheres. (English) Zbl 1476.53074
Reviewer: Rui Albuquerque (Lisboa)
Uniform K-stability modulo a subgroup. (English. Russian original) Zbl 1509.53063
Sb. Math. 212, No. 3, 332-350 (2021); translation from Mat. Sb. 212, No. 3, 68-87 (2021).
Reviewer: Sergei S. Platonov (Petrozavodsk)
The normalized volume of a singularity is lower semicontinuous. (English) Zbl 1470.14008
Reviewer: Thibaut Delcroix (Montpellier)
Alpha invariants of birationally bi-rigid Fano 3-folds I. (English) Zbl 1479.14050
Reviewer: Adrien Dubouloz (Dijon)
Delta invariants of singular del Pezzo surfaces. (English) Zbl 1462.14039
Reviewer: Piotr Pokora (Kraków)
Divisorial instability and Vojta’s main conjecture for \(\mathbb{Q} \)-Fano varieties. (English) Zbl 1473.14043
Boundedness of \(Q\)-Fano varieties with degrees and alpha-invariants bounded from below. (English) Zbl 1473.14079
Reviewer: Jie Liu (Nice)
Stable polarized del Pezzo surfaces. (English) Zbl 1460.53058
MSC:
53C55
Birational superrigidity and \(K\)-stability of Fano complete intersections of index \(1\). (English) Zbl 1456.14050
Reviewer: Roberto Muñoz (Madrid)
On positivity of the CM line bundle on K-moduli spaces. (English) Zbl 1465.14047
Reviewer: Andreas Höring (Nice)
On K-polystability for log del Pezzo pairs of Maeda type. (English) Zbl 1465.14044
Reviewer: Jinhyung Park (Seoul)
Reductivity of the automorphism group of K-polystable Fano varieties. (English) Zbl 1465.14043
Reviewer: Andreas Höring (Nice)
Delta-invariants for Fano varieties with large automorphism groups. (English) Zbl 1448.14041
Reviewer: Thibaut Delcroix (Montpellier)
Stability of valuations and Kollár components. (English) Zbl 1471.14076
Reviewer: Christopher Hacon (Salt Lake City)
K-stability of Fano spherical varieties. (English) Zbl 1473.14098
Reviewer: Alessandro Ruzzi (Montreuil)
Fourier-Mukai transforms, Euler-Green currents, and \(K\)-stability. (English) Zbl 1447.32040
Chen, Jingyi (ed.) et al., Geometric analysis. In honor of Gang Tian’s 60th birthday. Cham: Birkhäuser. Prog. Math. 333, 287-303 (2020).
Reviewer: Andrew Bucki (Edmond)
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