LAUSR

Invariant Algebraic Surfaces of Polynomial Vector Fields in Dimension Three

Sign Up to like & get
recommendations!
0 Published in 2021 at "Journal of Dynamics and Differential Equations"

DOI: 10.1007/s10884-021-10080-8

Abstract: We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a classical problem of Poincaré from dimension two to dimension three. Such surfaces are… read more here.

Keywords: vector; algebraic surfaces; polynomial vector; dimension three ... See more keywords

Wild Z/pZ-actions on algebraic surfaces

Sign Up to like & get
recommendations!
1 Published in 2017 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2016.12.025

Abstract: Abstract An Artin–Schreier covering of the affine plane is a hypersurface in A 3 defined by an equation z p − z = f ( x , y ) . Modeling on hypersurfaces of this… read more here.

Keywords: wild actions; algebraic surfaces; actions algebraic;

Ramification in the cohomology of algebraic surfaces arising from ordinary double point singularities

Sign Up to like & get
recommendations!
0 Published in 2020 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2019.08.006

Abstract: Abstract Let K be a field complete with respect to a discrete valuation whose residue field is algebraically closed of an odd positive characteristic. We study the ramification in the cohomology of a smooth proper… read more here.

Keywords: cohomology algebraic; cohomology; ordinary double; ramification cohomology ... See more keywords

Character Varieties and Algebraic Surfaces for the Topology of Quantum Computing

Sign Up to like & get
recommendations!
1 Published in 2022 at "Symmetry"

DOI: 10.20944/preprints202204.0126.v1

Abstract: It is shown that the representation theory of some finitely presented groups thanks to their SL2(C) character variety is related to algebraic surfaces. We make use of the Enriques–Kodaira classification of algebraic surfaces and related… read more here.

Keywords: topology; character varieties; character variety; character ... See more keywords

DNA Sequence and Structure under the Prism of Group Theory and Algebraic Surfaces

Sign Up to like & get
recommendations!
1 Published in 2022 at "International Journal of Molecular Sciences"

DOI: 10.3390/ijms232113290

Abstract: Taking a DNA sequence, a word with letters/bases A, T, G and C, as the relation between the generators of an infinite group π, one can discriminate between two important families: (i) the cardinality structure… read more here.

Keywords: topology; structure; sequence; group ... See more keywords