Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Sheng-Li Tan"'
Publikováno v:
Journal of Topology and Analysis. :1-21
In this paper, we consider the Galois covers of algebraic surfaces of degree 6, with all associated planar degenerations. We compute the fundamental groups of those Galois covers, using their degeneration. We show that for 8 types of degenerations, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17333379c4bcce545380201ddad10bc0
https://doi.org/10.1142/s1793525321500412
https://doi.org/10.1142/s1793525321500412
Publikováno v:
Proceedings of the American Mathematical Society. 148:4817-4830
Let ( Y , G ) (Y, {\mathcal {G}}) be a Riccati foliation on Y Y and let π : ( X , F ) → ( Y , G ) \pi :(X,{\mathcal {F}}){\rightarrow } (Y,{\mathcal {G}}) be a double cover ramified over some normal-crossing curves. We will determine the minimal m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab81f1863c56601d9c66547d09088867
https://doi.org/10.1090/proc/15097
https://doi.org/10.1090/proc/15097
Publikováno v:
Acta Mathematica Sinica, English Series. 36:273-291
As known to all, it is quite difficult to compute the fundamental group of a surface of general type. In this paper, applying Moishezon-Teicher’s algorithm, we investigate the fundamental group of a special surface of general type with zero topolog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3493bf269314c3c5b6750fbc28437282
https://doi.org/10.1007/s10114-020-9220-9
https://doi.org/10.1007/s10114-020-9220-9
Publikováno v:
International Journal of Algebra and Computation. 29:905-925
In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type [Formula: see text]. Using Moishezon–Teicher’s algorithm, we prove that the Galois covers of the generic fiber of planar Zappatic deform
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b35281e27b930d29f8855319c75bcc1c
https://doi.org/10.1142/s0218196719500358
https://doi.org/10.1142/s0218196719500358
Autor:
Xiao-Lei Liu, Sheng-Li Tan
Publikováno v:
Comptes Rendus Mathematique. 355:205-210
We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as O ( g − 3 ) as g tends to infinity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f22cb54afbed86fb2683b3fd4f28943c
https://doi.org/10.1016/j.crma.2017.01.003
https://doi.org/10.1016/j.crma.2017.01.003
Publikováno v:
Mathematische Annalen. 368:1311-1332
We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of 3-folds with smooth families of minimal surfaces of general type over a curve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e0fd32e5edd0bb76bf2befe33a065b2
https://doi.org/10.1007/s00208-016-1474-2
https://doi.org/10.1007/s00208-016-1474-2
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 105:724-733
Let f : X → P 1 be a non-isotrivial family of semi-stable curves of genus g ≥ 1 defined over an algebraically closed field k. Denote by s nc the number of the singular fibers whose Jacobians are non-compact. We prove that s nc ≥ 5 if k = C and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0222b96b6f8d279d47acc6bd3d227e3b
https://doi.org/10.1016/j.matpur.2015.11.011
https://doi.org/10.1016/j.matpur.2015.11.011
Autor:
Sheng-Li Tan, Wan-Yuan Xu
Publikováno v:
Journal of Number Theory. 151:36-45
We give several optimal inequalities of Szpiro's type for curves of genus g ≥ 2 defined over a function field.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::576f5547fcd0317bb211fe30d59eabe2
https://doi.org/10.1016/j.jnt.2014.11.012
https://doi.org/10.1016/j.jnt.2014.11.012
Autor:
Xin Lu, Sheng-Li Tan
Publikováno v:
Communications in Algebra. 43:1509-1523
Let G be an abelian automorphism group of a complex algebraic curve of genus g ≥ 2 with gonality d, and let |G| be its order. We prove that except for the Fermat curve of degree d + 1, and if G is cyclic. Furthermore, if |G| > 2g − 2 + 2d and C a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::082db12b27cc95cbbcd5365bfe90255e
https://doi.org/10.1080/00927872.2013.865741
https://doi.org/10.1080/00927872.2013.865741