compact complex surfaces
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2021 ◽  
Vol 70 (5) ◽  
pp. 2191-2214
Author(s):  
Liliana Puchuri


2020 ◽  
Vol 211 (9) ◽  
pp. 1310-1322 ◽  
Author(s):  
Yu. G. Prokhorov ◽  
C. A. Shramov


Author(s):  
Duc-Viet Vu

Abstract We give a natural generalization of the Dinh–Sibony notion of density currents in the setting where the ambient manifold is not necessarily Kähler. As an application, we show that the algebraic entropy of meromorphic self-maps of compact complex surfaces is a finite bi-meromorphic invariant.





Author(s):  
Yuri Prokhorov ◽  
Constantin Shramov

Abstract We study automorphism groups and birational automorphism groups of compact complex surfaces. We show that the automorphism group of such a surface $X$ is always Jordan, and the birational automorphism group is Jordan unless $X$ is birational to a product of an elliptic and a rational curve.



2019 ◽  
Vol 100 (2) ◽  
pp. 668-691 ◽  
Author(s):  
Kim Moore


2019 ◽  
Vol 19 (1) ◽  
pp. 65-69 ◽  
Author(s):  
Daniele Angella ◽  
Adriano Tomassini ◽  
Misha Verbitsky

Abstract We study cohomological properties of complex manifolds. In particular, under suitable metric conditions, we extend to higher dimensions a result by A. Teleman, which provides an upper bound for the Bott– Chern cohomology in terms of Betti numbers for compact complex surfaces according to the dichotomy b1 even or odd.



2018 ◽  
Vol 333 ◽  
pp. 620-669 ◽  
Author(s):  
Ingrid Bauer ◽  
Fabrizio Catanese


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