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pro vyhledávání: '"Transcendence degree"'
Akademický článek
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Autor:
Elek, Gábor
Publikováno v:
Proceedings of the American Mathematical Society, 2006 Mar 01. 134(3), 637-644.
Externí odkaz:
https://www.jstor.org/stable/4098409
Autor:
Zhang, James J.
Publikováno v:
Transactions of the American Mathematical Society, 1996 Jul 01. 348(7), 2867-2899.
Externí odkaz:
https://www.jstor.org/stable/2155274
Autor:
Eva Trojovská, Pavel Trojovský
Publikováno v:
Mathematics, Vol 9, Iss 7, p 717 (2021)
We give three consequences of Schanuel’s Conjecture. The first is that P(e)Q(e) and P(π)Q(π) are transcendental, for any non-constant polynomials P(x),Q(x)∈Q¯[x]. The second is that π≠αβ, for any algebraic numbers α and β. The third is
Externí odkaz:
https://doaj.org/article/97b1f940a9d44f56975b75079a3aedd8
Autor:
Damian Rössler
Publikováno v:
Contemporary Mathematics. :89-96
We give effective upper bounds for the number of purely inseparable points on non isotrivial curves over function fields of positive characteristic and of transcendence degree one. These bounds depend on the genus of the curve, the genus of the funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d42f081af2ef29c78c3d05f4f12227a
https://doi.org/10.1090/conm/767/15399
https://doi.org/10.1090/conm/767/15399
Autor:
Oksana S. Yakimova
Publikováno v:
Mathematical Research Letters. 28:907-924
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94cc5452d7cdae2967c6c88910304af6
https://doi.org/10.4310/mrl.2021.v28.n3.a12
https://doi.org/10.4310/mrl.2021.v28.n3.a12
Autor:
Dac-Nhan-Tam Nguyen, Dragos Ghioca
Publikováno v:
Bulletin of the Australian Mathematical Society. 103:418-427
We provide a direct proof of a Bogomolov-type statement for affine varieties V defined over function fields K of finite transcendence degree over an arbitrary field k, generalising a previous result (obtained through a different approach) of the firs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98cb76de86fe035ae87fb76b92355d7e
https://doi.org/10.1017/s0004972720001057
https://doi.org/10.1017/s0004972720001057
Autor:
Helbert Venegas, Oswaldo Lezama
Publikováno v:
São Paulo Journal of Mathematical Sciences. 14:207-222
The classical Gelfand–Kirillov dimension for algebras over fields has been extended recently by J. Bell and J.J Zhang to algebras over commutative domains. However, the behavior of this new notion has not been enough investigated for the principal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e43ff410b291570d7aba8976db11aa8
https://doi.org/10.1007/s40863-020-00166-4
https://doi.org/10.1007/s40863-020-00166-4
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 20:1931-1946
We solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over ${\mathbb Q}$. More generally, we show that over such a field, every split differential embedding problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fae71ecd41c2ce8908836a1a3a51cc6
https://doi.org/10.1017/s1474748020000018
https://doi.org/10.1017/s1474748020000018
Autor:
Gorchinskiy Sergey, Guletskiĭ Vladimir
Publikováno v:
Open Mathematics, Vol 10, Iss 2, Pp 559-568 (2012)
Externí odkaz:
https://doaj.org/article/216a4835121c4318b8a6551539dad193