Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Secondary 68W30"'
Autor:
Banerjee, Arindam, Basu, Saugata
Let $\mathrm{R}$ be a real closed field, $S \subset \mathrm{R}^n$ a closed and bounded semi-algebraic set and $\mathbf{f} = (f_1,\ldots,f_p):S \rightarrow \mathrm{R}^p$ a continuous semi-algebraic map. We study the poset module structure in homology
Externí odkaz:
http://arxiv.org/abs/2407.13586
Many problems in computer vision can be formulated as geometric estimation problems, i.e. given a collection of measurements (e.g. point correspondences) we wish to fit a model (e.g. an essential matrix) that agrees with our observations. This necess
Externí odkaz:
http://arxiv.org/abs/2401.07114
Autor:
Basu, Saugata, Karisani, Negin
Developing an algorithm for computing the Betti numbers of semi-algebraic sets with singly exponential complexity has been a holy grail in algorithmic semi-algebraic geometry and only partial results are known. In this paper we consider the more gene
Externí odkaz:
http://arxiv.org/abs/2207.10497
Let $\left(u(n)\right)_{n\in\mathbb{N}}$ be an arithmetic progression of natural integers in base $b\in\mathbb{N}\setminus \{0,1\}$. We consider the following sequences: $s(n)=\overline{u(0)u(1)\cdots u(n) }^b$ formed by concatenating the first $n+1$
Externí odkaz:
http://arxiv.org/abs/2201.07127
Akademický článek
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Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 3, Pp 67-96 (2022)
In this paper, we study the link between finite-dimensional Zinbiel algebras and combinatorial structures or (pseudo)digraphs determining which configurations are associated with those algebras. Some properties of Zinbiel algebras that can be read fr
Externí odkaz:
https://doaj.org/article/c1a3f93add4042f7ac3819eec2d1bf27
Autor:
Basu, Saugata, Riener, Cordian
We prove graded bounds on the individual Betti numbers of affine and projective complex varieties. In particular, we give for each $p,d,r$, explicit bounds on the $p$-th Betti numbers of affine and projective subvarieties of $\mathrm{C}^k$, $\mathbb{
Externí odkaz:
http://arxiv.org/abs/1606.04069
Akademický článek
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We provide algorithms to compute a complete irredundant set of extremely strong Shoda pairs of a finite group $G$ and the set of the primitive central idempotents of the rational group algebra $\mathbb{Q}[G]$ realized by them. These algorithms are al
Externí odkaz:
http://arxiv.org/abs/1503.05674
Autor:
Basu, Saugata, Riener, Cordian
We consider symmetric (under the action of products of finite symmetric groups) real algebraic varieties and semi-algebraic sets, as well as symmetric complex varieties in affine and projective spaces, defined by polynomials of degrees bounded by a f
Externí odkaz:
http://arxiv.org/abs/1503.00138