Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Enolski, V. Z."'
Autor:
Braden, H. W., Enolski, V. Z.
Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean monopole. Here we do this for the case of charge 2: so answering an ope
Externí odkaz:
http://arxiv.org/abs/1903.00694
Autor:
Braden, H. W., Enolski, V. Z.
We show that the Higgs and gauge fields for a BPS monopole may be constructed directly from the spectral curve without having to solve the gauge constraint needed to obtain the Nahm data. The result is the analogue of the instanton result: given ADHM
Externí odkaz:
http://arxiv.org/abs/1708.09660
Autor:
Enolski, V. Z., Fedorov, Yu. N.
For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 isogeneous to the Prym varieti
Externí odkaz:
http://arxiv.org/abs/1411.6143
It is known that the Jacobian of an algebraic curve which is a 2-fold covering of a hyperelliptic curve ramified at two points contains a hyperelliptic Prym variety. Its explicit algebraic description is applied to some of the integrable Henon-Heiles
Externí odkaz:
http://arxiv.org/abs/1402.1102
Publikováno v:
Trudy Moskovskogo Matematicheskogo Obshchestva (Proceedings of Moscow Mathematical Society), v.74, N2, 2013, p. 297--315
For elliptic curves, expressions for the periods of elliptic integrals of the second kind in terms of theta-constants, have been known since the middle of the 19th century. In this paper we consider the problem of generalizing these results to curves
Externí odkaz:
http://arxiv.org/abs/1305.3201
We present an algebraic geometrical and analytical description of the Goryachev case of rigid body motion. It belongs to a family of systems sharing the same properties: although completely integrable, they are not algebraically integrable, their sol
Externí odkaz:
http://arxiv.org/abs/1210.3596
In 1997 the present authors published a review (Ref. BEL97 in the present manuscript) that recapitulated and developed classical theory of Abelian functions realized in terms of multi-dimensional sigma-functions. This approach originated by K.Weierst
Externí odkaz:
http://arxiv.org/abs/1208.0990
Autor:
Braden, H. W., Enolski, V. Z.
Publikováno v:
AIP Conf.Proc.1307:53-67,2010
We develop the Atiyah-Drinfeld-Manin-Hitchin-Nahm construction to study SU(2) non-abelian charge 3 monopoles within the algebro-geometric method. The method starts with finding an algebraic curve, the monopole spectral curve, subject to Hitchin's con
Externí odkaz:
http://arxiv.org/abs/1009.3837
Publikováno v:
J. Phys. A: Math. Theor. 43 (2010) 455216
We compare and contrast three different methods for the construction of the differential relations satisfied by the fundamental Abelian functions associated with an algebraic curve. We realize these Abelian functions as logarithmic derivatives of the
Externí odkaz:
http://arxiv.org/abs/1006.5219
We determine the spectral curve of charge 3 BPS su(2) monopoles with C_3 cyclic symmetry. The symmetry means that the genus 4 spectral curve covers a (Toda) spectral curve of genus 2. A well adapted homology basis is presented enabling the theta func
Externí odkaz:
http://arxiv.org/abs/1006.3408