Demailly conjecture
WebIn this article, we solve the strong openness conjecture on the multiplier ideal sheaf associated to any plurisubharmonic function, which was posed by Demailly. ... WebMay 25, 2024 · A sharp effectiveness result related to a conjecture posed by Demailly and Kollár. In this section, we present the following sharp effectiveness result related to a conjecture posed by Demailly and Kollár . Theorem 1.2. Let F be a holomorphic function on pseudoconvex domain D ⊂ C n, and let φ be a negative plurisubharmonic function on D.
Demailly conjecture
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WebThe conjecture is known to be true for a projective familyX → S: ... J.-P. Demailly, virtual conference Geom. & TACoS, July 7, 2024 Cohomology of quasi holomorphic line bundles 27/28. Other potential target: invariance of plurigenera for polarized families of compact K¨ ahler manifolds?
WebJan 19, 2014 · Demailly’s strong openness conjecture means that the strong openness property about the multiplier ideal sheaf holds. In the present article, we establish such a … Demailly's mathematical works primarily concerned complex analytic geometry, using techniques from complex geometry with applications to algebraic geometry and number theory. He also wrote and co-authored several Unix and Linux libraries starting in the 1990s, including xpaint, sunclock, and dmg2img. One main topic of Demailly's research is Pierre Lelong's generalization of the notion of a Kähler f…
WebMar 27, 2014 · In this article, stimulated by the effectiveness in Berndtsson’s solution of the openness conjecture and continuing our solution of Demailly’s strong openness … WebFeb 1, 2024 · Here we improve their result and show that Demailly's conjecture holds if Z is very general and ⌊ s n ⌋ ≥ 2 ε n − 1 (m − 1) + 2, where 0 ≤ ε < 1 is the fractional part of s n. In particular, for s very general points where s n ∈ N (namely ε = 0), Demailly's conjecture holds for all m ∈ N.
Web7.2. The SYZ conjecture – SYZ transformation 301 7.3. Special Lagrangian geometry 301 7.4. Special Lagrangian fibrations 302 7.5. The SYZ transformation 303 7.6. The SYZ conjecture and tropical geometry 303 8. Geometries related to Calabi-Yau manifolds 304 8.1. Non-K¨ahler Calabi-Yau manifolds 304 8.2. Symplectic Calabi-Yau manifolds 305 ...
WebIn 1982, Demailly showed that the Hodge conjecture follows from the statement that ... Demailly [9] found the first extremal strongly positive closed current on CP2 with a … suzuki fb 50 car.grWebApr 13, 2024 · The history of holomorphic Morse inequalities was initiated from the seminal work of J.-P. Demailly, which was influenced by the Witten’s analytic proof of classical Morse inequalities and Siu’s solution of Grauert-Riemenschneider conjecture on … barker codes radarWebDec 19, 2009 · This result is related to the hyperkähler SYZ conjecture, which states that such a manifold admits a holomorphic Lagrangian fibration, if L is not big. Let M be a compact, holomorphic symplectic Kähler manifold, and L a non-trivial line bundle admitting a metric of semipositive curvature. ... J.-P. Demailly, L 2 vanishing theorems for ... suzuki fb100WebMay 24, 2013 · In this article, we solve the strong openness conjecture on the multiplier ideal sheaves for the plurisubharmonic functions posed by Demailly. We prove two conjectures about the growth of the ... suzuki fb80WebDemailly's Conjecture for N = 2 was proved by Esnault and Viehweg [EV83]. Recent work of Malara, Szemberg and Szpond [MSS18], extended by Chang and Jow [CJ20], showed that for a fixed integer m ... suzuki fb 50ccWebat, and the Umemura proof of the Gri ths conjecture proceeds exactly in that way, using the fact that the graded pieces of the Harder-Narasimhan ltration are projectively at. J.-P. … suzuki fahneWebConjecture 1.2 (Campana{Peternell Conjecture). Any Fano manifold whose tangent bundle is nef is rational homogeneous. We note that an apparently harder question about all manifolds with nef tangent bundle reduces to the one above because of a result by Demailly, Pe-ternell and Schneider, [14], who proved the following: Any compact K ahler suzuki fb 50