Zobrazeno 1 - 10
of 15
pro vyhledávání: '"John Lesieutre"'
Autor:
John Lesieutre, Matthew Satriano
Publikováno v:
Ergodic Theory and Dynamical Systems. 40:3051-3055
Let $f \colon X \dashrightarrow X$ be a dominant rational self-map of a smooth projective variety defined over $\overline{\mathbb Q}$. For each point $P\in X(\overline{\mathbb Q})$ whose forward $f$-orbit is well-defined, Silverman introduced the ari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3a25139f383fd9aaeb84149a6b62888
https://doi.org/10.1017/etds.2019.30
https://doi.org/10.1017/etds.2019.30
Autor:
Matthew Satriano, John Lesieutre
Publikováno v:
International Mathematics Research Notices. 2021:7677-7714
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, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d80032fdeed4a24e2885037f623a032e
https://doi.org/10.1093/imrn/rnz067
https://doi.org/10.1093/imrn/rnz067
Autor:
John Lesieutre, Daniel Litt
Publikováno v:
Algebraic Geometry. :1-25
We show that if $\phi : X \to X$ is an automorphism of a smooth projective variety and $D \subset X$ is an irreducible divisor for which the set of $d$ in $D$ with $\phi^n(d)$ in $D$ for some nonzero $n$ is not Zariski dense, then $(X, \phi)$ admits
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::058bc75ebde8807e34acca6446cfa752
https://doi.org/10.14231/ag-2019-001
https://doi.org/10.14231/ag-2019-001
Autor:
John Lesieutre
We construct some positive entropy automorphisms of rational surfaces with no periodic curves. The surfaces in question, which we term tri-Coble surfaces, are blow-ups of the projective plane at 12 points which have contractions down to three differe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1bc6f11367791e6bdda02333822371b
http://arxiv.org/abs/2003.01799
http://arxiv.org/abs/2003.01799
Autor:
John Lesieutre
Publikováno v:
Annales scientifiques de l'École normale supérieure. 6:1507-1547
Suppose that $X$ is a smooth, projective threefold over $\mathbb C$ and that $\phi : X \to X$ is an automorphism of positive entropy. We show that one of the following must hold, after replacing $\phi$ by an iterate: i) the canonical class of $X$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcddcc462511988f6d1adb22f057ea87
https://doi.org/10.24033/asens.2380
https://doi.org/10.24033/asens.2380
Autor:
Jinhyung Park, John Lesieutre
Publikováno v:
Proceedings of the American Mathematical Society. 145:4201-4209
The aim of this paper is twofold. Firstly, we determine which blow-ups of products of projective spaces at general points are varieties of Fano type, and give boundary divisors making these spaces log Fano pairs. Secondly, we describe generators of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63e01b8e233ec79a5d31fa46985f0fa7
https://doi.org/10.1090/proc/13610
https://doi.org/10.1090/proc/13610
Autor:
John Lesieutre
Let $X$ be a smooth projective variety. The Iitaka dimension of a divisor $D$ is an important invariant, but it does not only depend on the numerical class of $D$. However, there are several definitions of ``numerical Iitaka dimension'', depending on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7038e2a91d5017fdfaafe36851d5eab
http://arxiv.org/abs/1904.10832
http://arxiv.org/abs/1904.10832
Suppose that $f \colon X \dashrightarrow X$ is a dominant rational self-map of a smooth projective variety defined over ${\overline{\mathbf Q}}$. Kawaguchi and Silverman conjectured that if $P \in X({\overline{\mathbf Q}})$ is a point with well-defin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a74018822e99b0d9d5565e9a1bab4944
Autor:
John Lesieutre, John Christian Ottem
Publikováno v:
Michigan Math. J. 65, iss. 2 (2016), 321-332
On a projective surface it is well-known that the set of curves orthogonal to a nef line bundle is either finite or uncountable. We show that this dichotomy fails in higher dimension by constructing a nef line bundle on a threefold which is trivial o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d728553724de79899a1672f92d25f5e4
http://projecteuclid.org/euclid.mmj/1465329015
http://projecteuclid.org/euclid.mmj/1465329015
Autor:
John Lesieutre
We construct a projective variety with discrete, non-finitely generated automorphism group. As an application, we show that there exists a complex projective variety with infinitely many non-isomorphic real forms.
Comment: 13 pages, 3 figures. S
Comment: 13 pages, 3 figures. S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49361f746ed2ba22d4588cffd01f6779