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pro vyhledávání: '"Frédéric Campana"'
Autor:
Frédéric Campana
Publikováno v:
Electronic Research Archive, Vol 30, Iss 4, Pp 1187-1208 (2022)
This is an expository text, originally intended for the ANR 'Hodgefun' workshop, twice reported, organised at Florence, villa Finaly, by B. Klingler. We show that holomorphic foliations on complex projective manifolds have algebraic leaves under a ce
Externí odkaz:
https://doaj.org/article/dc86bcf87ae8486185c79c73a6940c66
Publikováno v:
Journal de l’École polytechnique — Mathématiques. 9:381-430
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa9907c9986008bf7fe8dc48482db371
https://doi.org/10.5802/jep.185
https://doi.org/10.5802/jep.185
Autor:
Frédéric Campana
Publikováno v:
European Journal of Mathematics. 8:815-833
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a993433b09c2293ea31a5d5442c1c163
https://doi.org/10.1007/s40879-021-00525-1
https://doi.org/10.1007/s40879-021-00525-1
Publikováno v:
Compositio Mathematica. 156:679-696
Small changes in sections 4 and 5, results not affected
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78d7c65c1f040e5988c3d2224baebec4
https://doi.org/10.1112/s0010437x19007802
https://doi.org/10.1112/s0010437x19007802
Autor:
Frédéric Campana
Publikováno v:
manuscripta mathematica. 164:589-591
We show that if $$f:X\rightarrow B$$ is a Lagrangian fibration from a compact connected hyperkahler (and thus Kahler) manifold X onto a projective normal variety B, then f is locally projective. This answers a question raised by L. Kamenova and stren
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9078ac049fb353da98ba846c5b66724a
https://doi.org/10.1007/s00229-020-01199-x
https://doi.org/10.1007/s00229-020-01199-x
Autor:
Frédéric Campana, Mihai Păun
Publikováno v:
Publications mathématiques de l'IHÉS. 129:1-49
In this article we consider log canonical pairs which are log-smooth. If the corresponding canonical bundle is pseudo-effective, then we show that any quotient of the orbifold cotangent bundle of the pair has a pseudo-effective determinant. One of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a89439ff9c8917887d68cea493ffe6ad
https://doi.org/10.1007/s10240-019-00105-w
https://doi.org/10.1007/s10240-019-00105-w
Autor:
Frédéric Campana
We give a simplified proof (in characteristic zero) of the decomposition theorem for connected complex projective varieties with klt singularities and a numerically trivial canonical bundle. The proof mainly consists in reorganizing some of the parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61ef96e45ebf322d82b412d79c270d9e
http://arxiv.org/abs/2004.08261
http://arxiv.org/abs/2004.08261
Autor:
Frédéric Campana
Publikováno v:
CRM Short Courses ISBN: 9783030498634
Let X be a smooth connected projective manifold defined over a number field k. We give below a conjectural qualitative description of X(k’) for k’ a sufficiently large number field containing k according to the algebro-geometric positivity/negati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aef642f4b907c84813692b821aa36de6
https://doi.org/10.1007/978-3-030-49864-1_2
https://doi.org/10.1007/978-3-030-49864-1_2
Autor:
Frédéric Campana, Ekaterina Amerik
Publikováno v:
Annales de l'Institut Fourier. 68:2923-2950
We show that an everywhere regular foliation $\mathcal F$ with compact canonically polarized leaves on a quasi-projective manifold $X$ has isotrivial family of leaves when the orbifold base of this family is special. By a recent work of Berndtsson, P
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f8158c2661cb64ae16442e8e3fdea25
https://doi.org/10.5802/aif.3231
https://doi.org/10.5802/aif.3231
In this paper, we study a projective klt pair $(X, \Delta)$ with the nef anti-log canonical divisor $-(K_X+\Delta)$ and its maximally rationally connected fibration $\psi: X \dashrightarrow Y$. We prove that the numerical dimension of the anti-log ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21e13537152bf2f0f55542a6baae2cd3