Found 147 Documents (Results 1–100)
On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry in \(\mathbb{C}^2\). (English) Zbl 07780721
ACC conjecture for the weighted log canonical thresholds in dimension two. (English) Zbl 1521.14007
Reviewer: Jan Stevens (Göteborg)
Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom). (English) Zbl 1523.32055
Reviewer: Rafał Czyż (Kraków)
On the multipoled global Zhou weights and semi-continuity for Zhou numbers. arXiv:2311.06459
Preprint, arXiv:2311.06459 [math.CV] (2023).
Chern-Weil and Hilbert-Samuel formulae for singular Hermitian line bundles. (English) Zbl 1520.14010
Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets. (English) Zbl 1487.32042
Submultiplicative norms and filtrations on section rings. arXiv:2210.03039
Preprint, arXiv:2210.03039 [math.DG] (2022).
Lelong-Demailly numbers and wedge product of \(S\)-plurisubahrmonic currents. (English) Zbl 1478.32104
Lelong-Jensen formula, Demailly-Lelong numbers and weighted degree of positive supercurrents. (English) Zbl 1478.32106
Weak solutions to the complex \(m\)-Hessian type equation on open subsets of \(\mathbb{C}^n\). (English) Zbl 1471.32057
On a question of Teissier. (English) Zbl 1471.32048
Transcendental versions in \(\mathbb{C}^n\) of the Nagata conjecture. (Versions transcendentales dans \(\mathbb{C}^n\) de la conjecture de Nagata.) (English. French summary) Zbl 1479.32015
Reviewer: Nicholas McCleerey (Ann Arbor)
Estimates of level sets of holomorphic functions and applications to the weighted log canonical thresholds. (English) Zbl 1464.32049
Bergman kernel and oscillation theory of plurisubharmonic functions. (English) Zbl 1470.32096
Reviewer: Manfred Stoll (Columbia)
Positive plurisubharmonic currents: Generalized Lelong numbers and Tangent theorems. arXiv:2111.11024
Preprint, arXiv:2111.11024 [math.CV] (2021).
Cluster points of jumping coefficients and equisingularities of plurisubharmonic functions. (English) Zbl 1460.32072
Jumping numbers of analytic multiplier ideals (with an appendix by Sébastien Boucksom). (English) Zbl 1452.32037
Reviewer: Marek Jarnicki (Kraków)
Lelong numbers and vector bundles. (English) Zbl 1457.32023
Reviewer: Jasna Prezelj (Ljubljana)
Weighted Bergman kernel, directional Lelong number and John-Nirenberg exponent. (English) Zbl 1436.32013
Curvature currents and Chern forms of singular Hermitian metrics on holomorphic vector bundles. (English) Zbl 1436.32109
ACC conjecture for weighted log canonical thresholds. (English) Zbl 1449.14002
Reviewer: Vladimir P. Kostov (Nice)
Toric pluripotential theory. (English) Zbl 1439.32100
On semipositivity theorems. (English) Zbl 1439.32038
On the weighted log canonical thresholds of plurisubharmonic functions. (English) Zbl 1435.32042
Reviewer: Marek Jarnicki (Kraków)
Mellin’s currential approaches in a non Archimedean framework. (Approches courantielles à la Mellin dans un cadre non archimédien.) (French. English summary) Zbl 1429.32035
Reviewer: Anatoly N. Kochubei (Kyïv)
\(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents. (English) Zbl 1412.32024
Local regularity of super-potentials and equidistribution of positive closed currents on \({\mathbb {P}}^k\). (English) Zbl 1414.32018
Reviewer: Dan Coman (Syracuse)
The convexity of radially symmetric \(m\)-subharmonic functions. (English) Zbl 1404.32065
Reviewer: Rafał Czyz (Krakow)
Density of positive closed currents, a theory of non-generic intersections. (English) Zbl 1393.32017
Log canonical thresholds and Monge-Ampère masses. (English) Zbl 1441.14017
Reviewer: Jan Stevens (Göteborg)
A property of upper level sets of Lelong numbers of currents on \(\mathbb P^2\). (English) Zbl 1469.32025
Local geodesics between toric plurisubharmonic functions with infinite energy. (English) Zbl 1391.32050
Local geodesics for plurisubharmonic functions. (English) Zbl 1384.32026
Reviewer: Rafał Czyz (Krakow)
A Skoda-type integrability theorem for singular Monge-Ampére measures. (English) Zbl 1386.32032
Reviewer: Alexandr Yu. Rashkovsky (Stavanger)
Regularizing properties of the twisted Kähler-Ricci flow. (English) Zbl 1371.53063
MSC:
53C44
32Q15
Segre numbers, a generalized King formula, and local intersections. (English) Zbl 1375.32020
Reviewer: Marek Jarnicki (Kraków)
Lelong numbers, complex singularity exponents, and Siu’s semicontinuity theorem. (Nombres de Lelong, exposants de singularités complexes et théorème de semi-continuité de Siu.) (English. French summary) Zbl 1370.32015
Reviewer: Fredj Elkhadhra (Kalaa)
Nonexistence of decreasing equisingular approximations with logarithmic poles. (English) Zbl 1397.32013
Reviewer: Fredj Elkhadhra (Kalaa)
Lelong numbers of potentials associated with positive closed currents and applications. (English. French summary) Zbl 1370.32014
Reviewer: Fredj Elkhadhra (Kalaa)
Some notes on pluriregular condensers. (English) Zbl 1370.32012
Reviewer: Fredj Elkhadhra (Kalaa)
Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms. (English) Zbl 1353.14005
Reviewer: Jan Stevens (Göteborg)
Multiplier ideal sheaves associated with weights of log canonical threshold one. (English) Zbl 1366.32004
Reviewer: Eleonora Di Nezza (London)
On the tangent cones to plurisubharmonic currents. (English) Zbl 1351.32053
Reviewer: Fredj Elkhadhra (Kalaa)
Existence of Lelong numbers of positive plurisuperharmonic currents. (English) Zbl 1341.32030
Reviewer: Fredj Elkhadhra (Kalaa)
Zero Lelong number problem. arXiv:1611.02470
Preprint, arXiv:1611.02470 [math.CV] (2016).
Minimal singular metrics of a line bundle admitting no Zariski decomposition. (English) Zbl 1326.32031
Characterization of multiplier ideal sheaves with weights of Lelong number one. (English) Zbl 1343.32025
Reviewer: Alexandr Yu. Rashkovsky (Stavanger)
Geometric properties of upper level sets of Lelong numbers on projective spaces. (English) Zbl 1327.32048
Reviewer: Alexandr Yu. Rashkovsky (Stavanger)
On the directional Lelong-Demailly numbers of positive currents. (English) Zbl 1318.32042
Reviewer: Fredj Elkhadhra (Kalaa)
Lelong functional on almost complex manifolds. (English) Zbl 1318.32039
Reviewer: Marek Jarnicki (Kraków)
Extremal cases for the log canonical threshold. (Cas extrêmes pour le seuil log-canonique.) (English. French summary) Zbl 1310.32037
Reviewer: Rafał Czyz (Krakow)
Green functions, Segre numbers, and King’s formula. (Fonctions de Green, nombres de Segre, et formule de King.) (English. French summary) Zbl 1322.32026
Reviewer: Jean Ruppenthal (Wuppertal)
On the singularities of the pluricomplex Green’s function. (English) Zbl 1329.32020
Fefferman, Charles (ed.) et al., Advances in analysis. The legacy of Elias M. Stein. Proceedings of the conference “Analysis and applications” held in honor of the 80th birthday of Elias M. Stein, Princeton, NJ, USA, May 16–20, 2011. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15941-6/hbk; 978-1-400-84893-5/ebook). Princeton Mathematical Series 50, 419-435 (2014).
Reviewer: Ahmed Zeriahi (Toulouse)
A result on the comparison principle for the log canonical threshold of plurisubharmonic functions. (English) Zbl 1432.32041
Existence of the directional tangent cone to a positive current. (English. French summary) Zbl 1301.32024
Reviewer: Fredj Elkhadhra (Kalaa)
A sharp lower bound for the log canonical threshold. (English) Zbl 1298.14006
Reviewer: Jan Stevens (Göteborg)
The weighted log canonical threshold. (Le seuil log-canonique pondéré.) (English. French summary) Zbl 1296.32013
Reviewer: Jean Ruppenthal (Wuppertal)
An algebraic approach to the openness conjecture of demailly and Kollár. (English) Zbl 1314.32047
Reviewer: Henri Guenancia (Stony Brook)
Analytic approximations of plurisubharmonic singularities. (English) Zbl 1288.32047
Reviewer: Slawomir Kołodziej (Kraków)
Multi-circled singularities, Lelong numbers, and integrability index. (English) Zbl 1282.32013
Reviewer: Slawomir Kołodziej (Kraków)
A comparison principle for the log canonical threshold. (English. French summary) Zbl 1278.32022
Reviewer: Dan Coman (Syracuse)
Extension of plurisubharmonic functions with growth control. (English) Zbl 1269.32018
Reviewer: Zywomir Dinew (Kraków)
A new generalization of the Lelong number. (English) Zbl 1293.32039
Reviewer: Ahmed Zeriahi (Toulouse)
Definition of the complex Monge-Ampère operator for arbitrary plurisubharmonic functions. (English) Zbl 1293.32040
Reviewer: Ahmed Zeriahi (Toulouse)
The log canonical threshold of holomorphic functions. (English) Zbl 1267.32027
Reviewer: Christopher Hacon (Salt Lake City)
Extreme plurisubharmonic singularities. (English) Zbl 1262.32034
Reviewer: Marek Jarnicki (Kraków)
Lelong numbers on projective varieties. (English) Zbl 1264.32017
Reviewer: Ahmed Zeriahi (Toulouse)
Tangent cones to positive-\((1,1)\) De Rham currents. (English. Abridged French version) Zbl 1235.32022
Reviewer: Zywomir Dinew (Kraków)
On the Lelong-Demailly numbers of plurisubharmonic currents. (English. Abridged French version) Zbl 1231.32023
Reviewer: Benoît Claudon (Vandœuvre-lés-Nancy)
An extremal problem for generalized Lelong numbers. (English) Zbl 1269.32019
Reviewer: Ahmed Zeriahi (Toulouse)
Quasiplurisubharmonic Green functions. (English) Zbl 1186.32010
Reviewer: S. Kołodziej (Kraków)
Tropical analysis of plurisubharmonic singularities. (English) Zbl 1196.14057
Litvinov, G. L. (ed.) et al., Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4782-4/pbk). Contemporary Mathematics 495, 305-315 (2009).
Reviewer: Dabbek Khalifa (Gabès)
Lelong-Skoda transform for compact Kähler manifolds and self-intersection inequalities. (English) Zbl 1173.32014
Reviewer: Konstantin Malyutin (Sumy)
Analyticity and propagation of plurisubharmonic singularities. (English) Zbl 1179.32012
Aytuna, Aydin (ed.) et al., Functional analysis and complex analysis. International conference, Istanbul, Turkey, September 17–21, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4460-1/pbk). Contemporary Mathematics 481, 137-143 (2009).
Reviewer: S. Kołodziej (Kraków)
Some applications of the Ohsawa-Takegoshi extension theorem. (English) Zbl 1171.32004
Reviewer: Harold P. Boas (College Station)
Lower bounds for Seshadri constants. (English) Zbl 1149.32012
Reviewer: Imre Patyi (Atlanta)
On the existence of of Lelong numbers of a positive psh current defined on almost complex manifolds. (Sur l’existence du nombre de Lelong d’un courant positif psh défini sur une variété presque complexe.) (French) Zbl 1120.32015
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