Searcharxiv⌕ Search

arXiv subjects

Manish Kumar

Publications and source records attributed to Manish Kumar.

177 records · Page 10Linked to original sources
arXiv2015

iDART-Intruder Detection and Alert in Real Time

In this work, we design and develop a smart intruder detection and alert system which aims to elevate the security as well as the likelihood of true positive identification of trespassers and intruders as compared to other commonly deployed electronic security systems. Using multiple sensors, this system can gauge the extent of danger exhibited by a person or animal in or around the home premises, and can forward various critical information regarding the event to home owners as well as other specified entities, such as relevant security authorities.

cs.CY↗
arXiv2014

Galois closure of henselization

It is shown that the Galois closure of the henselization of a one dimensional local field arising in geometric and arithmetic situation is separably closed.

math.NT↗
arXiv2013

On the compositum of wildly ramified extensions

We compute the ramification filtration on wildly ramified $p^2$-cyclic extensions of local fields of characteristic $p$. The ramification filtration on the compositum of two $p$-cyclic and $p^2$-cyclic extensions are also computed. As an application, some partial results towards Abhyankar's Inertia conjecture has been proved.

math.NT↗
arXiv2012

Killing wild ramification

We compute the inertia group of the compositum of wildly ramified Galois covers. It is used to show that even the $p$-part of the inertia group of a Galois cover of $\PP^1$ branched only at infinity can be reduced if there is a jump in the ramification filtration at two (in the lower numbering) and certain linear disjointness statement holds.

math.NT↗
arXiv2011

Subgroup structure of fundamental groups in positive characteristic

Let $Π$ be the étale fundamental group of a smooth affine curve over an algebraically closed field of characteristic $p>0$. We establish a criterion for profinite freeness of closed subgroups of $Π$. Roughly speaking, if a closed subgroup of $Π$ is "captured" between two normal subgroups, then it is free, provided it contains most of the open subgroups of index $p$. In the proof we establish a strong version of "almost $ω$-freeness" of $Π$ and then apply the Haran-Shapiro induction.

math.AG↗
arXiv2010

Continuity of Pseudo-Differential Operator $h_{μ,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces

The Pseudo-Differential Operator (p.d.o.) $h_{μ,a}$ associated with the Bessel Operator involving the symbol $a(x,y)$ whose derivatives satisfy certain growth conditions depending on some increasing sequences is studied on certain Gevrey spaces. The p.d.o. $h_{μ,a}$ on Hankel translation $τ$ and Hankel convolution of Gevrey functions is continuous linear map into another Gevrey spaces.

math.FA↗
arXiv2010

Beilinson-Tate cycles on semiabelian varieties

Along the lines of Hodge and Tate conjectures, Beilinson conjectured that in the qth cohomology all the weight 2q Hodge cycles of a smooth complex variety and all the weight 2q Tate cycles of a smooth variety over a finitely generated field comes from the higher Chow groups. For product of curves and semiabelian varieties, Beilinson-Hodge conjecture was shown in a previous paper by the authors. Here both Beilinson-Hodge and Beilinson-Tate conjectures are shown to be true for varieties dominated by product of curves. We also show that lower weight Hodge cycles (resp. Tate cycles) are algebraic in these situations.

math.AG↗
arXiv2010

Tunable Multifunction Filter Using Current Conveyor

The paper presents a current tunable multifunction filter using current conveyor. The proposed circuit can be realized as on chip tunable low pass, high pass, band pass and elliptical notch filter. The circuit employs two current conveyors, one OTA, four resistors and two grounded capacitors, ideal for integration. It has only one output terminal and the number of input terminals may be used. Further, there is no requirement for component matching in the circuit. The resonance frequency (ω0) and bandwidth (ω0 /Q) enjoy orthogonal tuning. The cutoff frequency of the filter is tunable by changing the bias current, which makes it on chip tunable filter. The circuit is realized by using commercially available current conveyor AD844 and OTA LM13700. A HSPICE simulation of circuit is also studied for the verification of theoretical results.

cs.OH↗
arXiv2010

Current Conveyor Based Multifunction Filter

The paper presents a current conveyor based multifunction filter. The proposed circuit can be realized as low pass, high pass, band pass and elliptical notch filter. The circuit employs two balanced output current conveyors, four resistors and two grounded capacitors, ideal for integration. It has only one output terminal and the number of input terminals may be used. Further, there is no requirement for component matching in the circuit. The parameter resonance frequency (ω_0) and bandwidth (ω_0 /Q) enjoy orthogonal tuning. The complementary metal oxide semiconductor (CMOS) realization of the current conveyor is given for the simulation of the proposed circuit. A HSPICE simulation of circuit is also studied for the verification of theoretical results. The non-ideal analysis of CCII is also studied.

cs.OH↗
arXiv2010

Embedding problems for subgroups of the fundamental group

Let $π_1(C)$ be the fundamental group of a smooth irreducible affine curve $C$ over an algebraically closed field of positive characteristic. It is shown that given an embedding problem for $π_1(C)$ there exist an open index $p$ normal subgroup of $π_1(C)$ so that the embedding problem restricted to this group has a solution. In particular, $π_1(C)$ is "almost $ω$-free".

math.AG↗
arXiv2009

Beilinson-Hodge cycles on semiabelian varieties

Beilinson conjectured that all rational cycles of type (q,q) on the qth cohomology of a smooth complex algebraic variety should come from motivic cohomology. The purpose of this note is to prove this when the variety is a semiabelian variety or a product of curves. The proof is based on the study of invariants under the Mumford-Tate group.

math.AG↗
arXiv2006

Fundamental Group in nonzero characteristic

A proof of freeness of the commutator subgroup of the fundamental group of a smooth irreducible affine curve over a countable algebraically closed field of nonzero characteristic. A description of the abelianizations of the fundamental groups of smooth affine curves over an algebracially closed field of nonzero characteristic is also given.

math.AG↗
arXiv2002

New Method to obtain Exact-Fit Polynomial and Exponential

The existing methods to obtain an exact-fit polynomial does not give the resulting polynomial in its standard form, and further manipulations are needed to obtain that. The new method presented here gives the coefficients of the polynomial in the standard form directly. It is also possible to obtain the exact-fit exponential using a similar method. Part I of the Document explains the method to find the Exact-Fit Polynomial and Part II explains the method to obtain an Exact-Fit Exponential.

math.NA↗