Stefano Pasotti

ORCID: 0000-0002-5168-345X
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Research Areas
  • Mathematics and Applications
  • Finite Group Theory Research
  • graph theory and CDMA systems
  • History and Theory of Mathematics
  • Algebraic Geometry and Number Theory
  • Advanced Algebra and Geometry
  • Advanced Topics in Algebra
  • Algebraic and Geometric Analysis
  • Geometric and Algebraic Topology
  • Meromorphic and Entire Functions
  • Homotopy and Cohomology in Algebraic Topology
  • Holomorphic and Operator Theory
  • Polynomial and algebraic computation
  • Advanced Numerical Analysis Techniques
  • Rings, Modules, and Algebras
  • Coronary Interventions and Diagnostics
  • Cardiac and Coronary Surgery Techniques
  • Cardiac, Anesthesia and Surgical Outcomes
  • Urban Planning and Valuation
  • Coding theory and cryptography
  • Innovative Approaches in Technology and Social Development
  • Geometry and complex manifolds
  • Italian Social Issues and Migration

University of Brescia
2011-2021

University of Chieti-Pescara
2019

Università Cattolica del Sacro Cuore
2008

University of Trento
2006-2007

Centro Cardiologico Monzino
2005

University of Milan
2005

We define generalized Clifford parallelisms in PG(3, F ) with the help of a quaternion skew field H over arbitrary characteristic.Moreover we give geometric description such involving hyperbolic quadrics projective spaces suitable quadratic extensions .

10.2140/iig.2010.11.197 article EN Innovations in incidence geometry 2010-01-01

10.1016/j.disc.2009.06.011 article EN Discrete Mathematics 2009-07-03

10.1007/s00025-007-0248-2 article EN Results in Mathematics 2007-07-17

10.1007/s00025-013-0340-8 article EN Results in Mathematics 2013-10-18

Here we present both an algebraic and a geometric representation of the limit rotation loop build in [7], interpret its main properties these settings determine automorphism group.

10.12988/ams.2013.38430 article EN Applied Mathematical Sciences 2013-01-01

Given two parallelisms of a projective space we describe construction, called blending, that yields (possibly new) parallelism this space. For double $$({\mathbb P},{\mathrel {\parallel _{\ell }}},{\mathrel _{r}}})$$ over quaternion skew field characterise the “Clifford-like” parallelisms, i.e. blends Clifford $$\mathrel }}$$ and _{r}}$$ , in geometric an algebraic way. Finally, establish necessary sufficient conditions for existence Clifford-like are not Clifford.

10.1007/s00022-018-0456-9 article EN cc-by Journal of Geometry 2018-11-21

Abstract Here we study the relationship between stability of coherent systems and holomorphic triples over a curve arbitrary genus. Moreover apply these results to some properties give examples on projective line.

10.2478/s11533-008-0008-x article EN Open Mathematics 2008-02-26

10.1016/j.endm.2013.05.053 article EN Electronic Notes in Discrete Mathematics 2013-05-01

Given two parallelisms of a projective space we describe construction, called blending, that yields (possibly new) parallelism this space. For double $(\mathbb{P},\parallel_\ell,\parallel_r)$ over quaternion skew field characterise the "Clifford-like" parallelisms, i.e. blends Clifford $\parallel_\ell$ and $\parallel_r$, in geometric an algebraic way. Finally, establish necessary sufficient conditions for existence Clifford-like are not Clifford.

10.48550/arxiv.1811.04702 preprint EN other-oa arXiv (Cornell University) 2018-01-01

Abstract We recall the notions of Clifford and Clifford-like parallelisms in a 3-dimensional projective double space. In previous paper authors proved that linear part full automorphism group parallelism is same for all which can be associated to it. this paper, instead, we study action such on parallel classes thus achieving our main results characterisation among ones.

10.1007/s13366-020-00509-4 article EN cc-by Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 2020-06-27

En Here we study affine parallel translation structures, both finite and infinite, with a principal line, that is line which intersects every not in its class. These structures can be regarded also as (finite or infinite) transversal divisible designs. An algebraic characterization of these terms semidirect product groups provided the main properties related to their group automorphisms are inspected. The particular case kinematic spaces taken into consideration.

10.1285/i15900932v29n2p123 article EN Note di matematica/Note di matematica - Università degli studi di Lecce 2010-03-06

We recall the notions of Clifford and Clifford-like parallelisms in a $3$-dimensional projective double space. In previous paper authors proved that linear part full automorphism group parallelism is same for all which can be associated to it. this paper, instead, we study action such on parallel classes thus achieving our main results characterisation among ones.

10.48550/arxiv.2006.05151 preprint EN other-oa arXiv (Cornell University) 2020-01-01

In this paper we focus on the description of automorphism group $\Gamma_{\parallel}$ a Clifford-like parallelism $\parallel$ $3$-dimensional projective double space $\bigl(\mathbb{P}(H_F),{\mathrel{\parallel_{\ell}}},{\mathrel{\parallel_{r}}}\bigr)$ over quaternion skew field $H$ (with centre $F$ any characteristic). We compare with $\Gamma_{\ell}$ left $\mathrel{\parallel_{\ell}}$, which is strictly related to $\mathrm{Aut}(H)$. build up and discuss several examples showing that certain...

10.48550/arxiv.1903.10331 preprint EN other-oa arXiv (Cornell University) 2019-01-01

Abstract We focus on the description of automorphism group Γ ∥ a Clifford-like parallelism 3-dimensional projective double space (ℙ( H F ), ℓ , r ) over quaternion skew field (of any characteristic). compare with left which is strictly related to Aut( ). build up and discuss several examples showing that certain fields it possible choose in such way either properly contained or coincides even though ≠ .

10.1515/advgeom-2020-0027 article EN Advances in Geometry 2021-01-01

10.1016/j.endm.2013.05.067 article EN Electronic Notes in Discrete Mathematics 2013-05-01

Abstract Here we study the α-stability for holomorphic triples on bielliptic curves. In particular some existence theorems α-stable are proved using as main tool of elliptic Elementary transformations also taken into consideration.

10.1515/advgeom.2009.008 article EN Advances in Geometry 2008-11-21
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