Zobrazeno 1 - 10
of 53
pro vyhledávání: '"JongHae Keum"'
Autor:
Kyoung-Seog Lee, JongHae Keum
Publikováno v:
Advances in Mathematics. 347:708-738
In this paper we study effective, nef and semiample cones of minimal surfaces of general type with p g = 0 . We provide examples of minimal surfaces of general type with p g = 0 and 2 ≤ K 2 ≤ 9 which are Mori dream spaces. On these examples we al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3dcd4d296d0f2815aacd8709f22aff4
https://doi.org/10.1016/j.aim.2019.02.028
https://doi.org/10.1016/j.aim.2019.02.028
Autor:
JongHae Keum
Publikováno v:
Journal of Pure and Applied Algebra. 223:1427-1433
In any characteristic different from 2 and 5, Kond\=o gave an example of a K3 surface with a purely non-symplectic automorphism of order 50. The surface was explicitly given as a double plane branched along a smooth sextic curve. In this note we show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b848327d8ad7ad60915de04fab7c7d59
https://doi.org/10.1016/j.jpaa.2018.06.011
https://doi.org/10.1016/j.jpaa.2018.06.011
Autor:
Lev A. Borisov, JongHae Keum
Publikováno v:
Duke Math. J. 169, no. 6 (2020), 1135-1162
Fake projective planes are smooth complex surfaces of general type with Betti numbers equal to those of the usual projective plane. They come in complex conjugate pairs and have been classified as quotients of the two-dimensional ball by explicitly w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5238dbe058409517791437229952c3fd
https://doi.org/10.1215/00127094-2019-0076
https://doi.org/10.1215/00127094-2019-0076
Autor:
Jonghae Keum
Publikováno v:
Proceedings of the International Congress of Mathematicians (ICM 2018).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45ecc8df16adb3426f47365ef30c5337
https://doi.org/10.1142/9789813272880_0074
https://doi.org/10.1142/9789813272880_0074
Autor:
JongHae Keum
Publikováno v:
Development of Moduli Theory — Kyoto 2013, O. Fujino, S. Kondō, A. Moriwaki, M. Saito and K. Yoshioka, eds. (Tokyo: Mathematical Society of Japan, 2016)
In each characteristic $p\neq 2, 5$, it is shown that order 40 automorphisms of K3 surfaces are purely non-symplectic. Moreover, a K3 surface in characteristic $p\neq 2, 5,$ with a cyclic action of order 40 is isomorphic to the Kondō's example.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c096267026890ac4ea51c2622782b82
https://doi.org/10.2969/aspm/06910407
https://doi.org/10.2969/aspm/06910407
Autor:
JongHae Keum
Publikováno v:
Algebraic Geometry in East Asia — Taipei 2011, J. A. Chen, M. Chen, Y. Kawamata and J. Keum, eds. (Tokyo: Mathematical Society of Japan, 2015)
We classify all $\mathbb{Q}$-homology projective planes with $A_1$- or $A_2$-singularities (and with no worse singularities). It turns out that such a surface is isomorphic to a global quotient $X/G$, where $X$ is a fake projective plane or the compl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8707ef08e88587e1529fb91afbc4d404
https://doi.org/10.2969/aspm/06510143
https://doi.org/10.2969/aspm/06510143
Autor:
Fabrizio Catanese, JongHae Keum
We show, for several fake projective planes with nontrivial automorphism group, that the bicanonical map is an embedding.
Comment: A new section (Section 6) is added to point out that, due to many wrong proofs, the main result of the paper by S.
Comment: A new section (Section 6) is added to point out that, due to many wrong proofs, the main result of the paper by S.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79d23aaae0684a1dca88fde5664d3428
Publikováno v:
Science China Mathematics. 58:501-512
We present the complete list of all singularity types on Gorenstein $\mathbb{Q}$-homology projective planes, i.e., normal projective surfaces of second Betti number one with at worst rational double points. The list consists of $58$ possible singular
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4d80206e8d30c06caafaa7296015ac8
https://doi.org/10.1007/s11425-015-4978-4
https://doi.org/10.1007/s11425-015-4978-4
If an automorphism of a projective K3 surface with Picard number 2 is of infinite order, then the automorphism corresponds to a solution of Pell equation. In this paper, by solving this equation, we determine all Salem polynomials of symplectic and a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d96a1cf2caf8f0895c20113200351964
Publikováno v:
Mathematische Zeitschrift. 272:1243-1257
We present methods to construct interesting surfaces of general type via \({\mathbb{Q}}\)-Gorenstein smoothing of a singular surface obtained from an elliptic surface. By applying our methods to special Enriques surfaces, we construct new examples of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02400fb320fc07fdcb81947fa6aa5208
https://doi.org/10.1007/s00209-012-0985-0
https://doi.org/10.1007/s00209-012-0985-0