projective threefolds
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2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Meng Chen ◽  
◽  
Yong Hu ◽  
Matteo Penegini ◽  
◽  
...  


2019 ◽  
Vol 378 (1-2) ◽  
pp. 637-665
Author(s):  
Paolo Cascini ◽  
Sheng Meng ◽  
De-Qi Zhang


Author(s):  
John Lesieutre ◽  
Matthew Satriano

Abstract The Kawaguchi–Silverman conjecture predicts that if $f: X \dashrightarrow X$ is a dominant rational-self map of a projective variety over $\overline{{\mathbb{Q}}}$, and $P$ is a $\overline{{\mathbb{Q}}}$-point of $X$ with a Zariski dense orbit, then the dynamical and arithmetic degrees of $f$ coincide: $\lambda _1(f) = \alpha _f(P)$. We prove this conjecture in several higher-dimensional settings, including all endomorphisms of non-uniruled smooth projective threefolds with degree larger than $1$, and all endomorphisms of hyper-Kähler manifolds in any dimension. In the latter case, we construct a canonical height function associated with any automorphism $f: X \to X$ of a hyper-Kähler manifold defined over $\overline{{\mathbb{Q}}}$. We additionally obtain results on the periodic subvarieties of automorphisms for which the dynamical degrees are as large as possible subject to log concavity.



2018 ◽  
Vol 29 (14) ◽  
pp. 1850100
Author(s):  
Priska Jahnke ◽  
Ivo Radloff

We classify all projective manifolds with flat holomorphic conformal structure. The Kähler–Einstein case was treated by Kobayashi and Ochiai, there exists a very short list of possible manifolds. In the non-Kähler–Einstein case a classification was only known in small dimensions: by Kobayashi and Ochiai for complex surfaces and by the authors for projective threefolds. This paper completes the general case.



2015 ◽  
Vol 15 (2) ◽  
Author(s):  
Marina Bertolini ◽  
Cristina Turrini

AbstractLinearly normal complex projective threefolds of degree 12, embedded in ℙ



2013 ◽  
Vol 366 (3) ◽  
pp. 1621-1638 ◽  
Author(s):  
Frederic Campana ◽  
Fei Wang ◽  
De-Qi Zhang






2010 ◽  
Vol 10 (4) ◽  
Author(s):  
Amäel Broustet ◽  
Andreas Höring


2005 ◽  
Vol 16 (06) ◽  
pp. 595-607 ◽  
Author(s):  
PRISKA JAHNKE ◽  
IVO RADLOFF

The authors give a complete classification of projective threefolds admitting a holomorphic conformal structure. A corollary is the complete list of projective threefolds, whose tangent bundle is a symmetric square.



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