Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Dutta, Arpan"'
Autor:
Dutta, Arpan
The Ruled Residue Theorem asserts that given a ruled extension $(K|k,v)$ of valued fields, the residue field extension is also ruled. In this paper we analyse the failure of this theorem when we set $K$ to be algebraic function fields of certain curv
Externí odkaz:
http://arxiv.org/abs/2305.19117
Autor:
Dutta, Arpan, Kuhlmann, Franz-Viktor
We introduce a new method of constructing complete sequences of key polynomials for simple extensions of tame fields. In our approach the key polynomials are taken to be the minimal polynomials over the base field of suitably constructed elements in
Externí odkaz:
http://arxiv.org/abs/2208.11590
Autor:
Dutta, Arpan
Given a valued field $(K,v)$ and its completion $(\widehat{K},v)$, we study the set of all possible extensions of $v$ to $\widehat{K}(X)$. We show that any such extension is closely connected with the underlying subextension $(K(X)|K,v)$. The connect
Externí odkaz:
http://arxiv.org/abs/2203.04801
Autor:
Dutta, Arpan
This article is a natural construction of our previous works. In this article, we employ similar ideas due to MacLane to provide an estimate of IC(K(X)|K,v) when (K(X)|K,v) is a valuation algebraic extension. Our central result is an analogue of the
Externí odkaz:
http://arxiv.org/abs/2111.14344
Autor:
Dutta, Arpan
An extension (K(X)|K, v) of valued fields is said to be valuation transcendental if we have equality in the Abhyankar inequality. Minimal pairs of definition are fundamental objects in the investigation of valuation transcendental extensions. In this
Externí odkaz:
http://arxiv.org/abs/2111.13641
Autor:
Dutta, Arpan
Given a valued field $(K,v)$ and a pseudo monotone sequence $E$ in $(K,v)$, one has an induced valuation $v_E$ extending $v$ to $K(X)$. After fixing an extension of $v_E$ to a fixed algebraic closure $\overline{K(X)}$ of $K(X)$, we show that the impl
Externí odkaz:
http://arxiv.org/abs/2107.10570
Autor:
Dutta, Arpan
Minimal pairs of definition were introduced by Alexandru, Popescu and Zaharescu to study residue transcendental extensions. In this paper we obtain analogous results in the value transcendental case. We introduce the notion of minimal fields of defin
Externí odkaz:
http://arxiv.org/abs/2107.04828
Autor:
Sethi, Chinmay, Hazra, Bodhisatwa, Ostadhassan, Mehdi, Motra, Hem Bahadur, Dutta, Arpan, Pandey, J.K., Kumar, Santosh
Publikováno v:
In International Journal of Coal Geology 11 April 2024 285
Autor:
Dutta, Arpan1, Gupta, Subhadeep1, Chakraborty, Uddalak1 uddaalakchakraborty@gmail.com, Mondal, Chayan1, Banerjee, Soumozit1, Das, Deep2, Jatua, Sanat K.3, Chakrabarty, Susanta4, Misra, Samiran5, Bhattacharya, Jishnu6, Datta, Samir K.7, Ghosh, Somnath7, Sanyal, Debasish8, Sarkar, Arnab9, Ray, Biman K.1
Publikováno v:
Annals of Indian Academy of Neurology. May/Jun2024, Vol. 27 Issue 3, p269-273. 5p.