DSpace Collection: Volume 23 Number 2
http://hdl.handle.net/10525/520
Serdica Mathematical Journal Volume 23, Number 2, 1997The Collection's search engineSearch the Channelsearch
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Nadel's Subschemes of Fano Manifolds X with a Picard Group Pic(X) Isomorphic to Z
http://hdl.handle.net/10525/581
Title: Nadel's Subschemes of Fano Manifolds X with a Picard Group Pic(X) Isomorphic to Z<br/><br/>Authors: Yotov, M.<br/><br/>Abstract: In this paper we find a global sufficient condition for suitablesubschemes of Fano manifolds to be Nadel’s subschemes. We apply thiscondition to one-dimensional subschemes of a projective space.<br/><br/>Description: ∗The author supported by Contract NSFR MM 402/1994.Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)
http://hdl.handle.net/10525/580
Title: Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)<br/><br/>Authors: Kuratsuji, Hiroshi; Tochishita, Teruyuki; Mizui, Masayuki<br/><br/>Abstract: A new approach is proposed for the quantum mechanics ofguiding center motion in strong magnetic field. This is achieved by use ofthe coherent state path integral for the coupled systems of the cyclotron andthe guiding center motion. We are specifically concerned with the effectiveaction for the guiding center degree, which can be used to get the Bohr-Sommerfeld quantization scheme. The quantization rule is similar to theone for the vortex motion as a dynamics of point particles.When does a Bounded Domain Cover a Projective Manifold? (Survey)
http://hdl.handle.net/10525/579
Title: When does a Bounded Domain Cover a Projective Manifold? (Survey)<br/><br/>Authors: Kasparian, Azniv<br/><br/>Abstract: The present survey introduces in some classical propertiesof the universal coverings of the projective algebraic manifolds. All theresults are non-original. A forthcoming note is intended to discuss thecorresponding fundamental groups.<br/><br/>Description: * The research has been partially supported by Bulgarian Funding Organizations, sponsoringthe Algebra Section of the Mathematics Institute, Bulgarian Academy of Sciences, a Contractbetween the Humboldt Univestit¨at and the University of Sofia, and Grant MM 412 / 94 fromthe Bulgarian Board of Education and TechnologySymplectic Representation of a Braid Group on 3-Sheeted Covers of the Riemann Sphere
http://hdl.handle.net/10525/578
Title: Symplectic Representation of a Braid Group on 3-Sheeted Covers of the Riemann Sphere<br/><br/>Authors: Rolf-Peter, Holzapfel<br/><br/>Abstract: We define Picard cycles on each smooth three-sheeted Galoiscover C of the Riemann sphere. The moduli space of all these algebraiccurves is a nice Shimura surface, namely a symmetric quotient of the projectiveplane uniformized by the complex two-dimensional unit ball. We show thatall Picard cycles on C form a simple orbit of the Picard modular groupof Eisenstein numbers. The proof uses a special surface classification inconnection with the uniformization of a classical Picard-Fuchs system. Ityields an explicit symplectic representation of the braid groups (coloured ornot) of four strings.Toward Clemens' Conjecture in Degrees between 10 and 24
http://hdl.handle.net/10525/577
Title: Toward Clemens' Conjecture in Degrees between 10 and 24<br/><br/>Authors: Johnsen, Trygve; Kleiman, Steven<br/><br/>Abstract: We introduce and study a likely condition that implies thefollowing form of Clemens’ conjecture in degrees d between 10 and 24: givena general quintic threefold F in complex P^4, the Hilbert scheme of rational,smooth and irreducible curves C of degree d on F is finite, nonempty, andreduced; moreover, each C is embedded in F with balanced normal sheafO(−1) ⊕ O(−1), and in P^4 with maximal rank.<br/><br/>Description: 1 Supported in part by the Norwegian Research Council for Science and the Humanities. Itis a pleasure for this author to thank the Department of Mathematics of the University of Sofiafor organizing the remarkable conference in Zlatograd during the period August 28-September2, 1995. It is also a pleasure to thank the M.I.T. Department of Mathematics for its hospitalityfrom January 1 to July 31, 1993, when this work was started.2Supported in part by NSF grant 9400918-DMS.On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation
http://hdl.handle.net/10525/576
Title: On the Isoenergetical Non-Degeneracy of the Problem of two Centers of Gravitation<br/><br/>Authors: Dragnev, Dragomir<br/><br/>Abstract: For the system describing the motion of a moss point underthe action of two static gravity centers (with equal masses), we find a subsetof the set of the regular values of the energy and momentum, where thecondition of isoenergetical non-degeneracy is fulfilled.<br/><br/>Description: * Partialy supported by contract MM 523/95 with Ministry of Science and Technologies of Republic of Bulgaria.On the KAM - Theory Conditions for the Kirchhoff Top
http://hdl.handle.net/10525/575
Title: On the KAM - Theory Conditions for the Kirchhoff Top<br/><br/>Authors: Christov, Ognyan<br/><br/>Abstract: In this paper the classical Kirchhoff case of motion of a rigidbody in an infinite ideal fluid is considered. Then for the correspondingHamiltonian system on the zero integral level, the KAM theory conditionsare checked. In contrast to the known similar results, there exists a curvein the bifurcation diagram along which the Kolmogorov’s condition vanishesfor certain values of the parameters.<br/><br/>Description: * Partially supported by Grant MM523/95 with Ministry of Science and Technologies.Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem
http://hdl.handle.net/10525/574
Title: Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem<br/><br/>Authors: Bakalov, B.; Horozov, E.; Yakimov, M.<br/><br/>Abstract: This paper is a survey of our recent results on the bispectralproblem. We describe a new method for constructing bispectral algebrasof any rank and illustrate the method by a series of new examples as wellas by all previously known ones. Next we exhibit a close connection ofthe bispectral problem to the representation theory of W1+∞–algerba. Thisconnection allows us to explain and generalise to any rank the result of Magriand Zubelli on the symmetries of the manifold of the bispectral operators ofrank and order two.Conference on Geometry and Mathematical Physics, Bulgaria, Zlatograd, 28.08-01.09.2005
http://hdl.handle.net/10525/573
Title: Conference on Geometry and Mathematical Physics, Bulgaria, Zlatograd, 28.08-01.09.2005<br/><br/>Authors: Tsanov, V.<br/><br/>Abstract: Organizing committee: Vasil Tsanov – Sofia University (Chairman),Harry Aleksiev – High School for Management and Laguages in Zlatograd (LocalOrganizer), Leon Farhy – Sofia University (Scientific Secretary), Emil Horozov– Sofia University, Ivailo Mladenov – Bulgarian Academy of Sciences, AngelZhivkov – Sofia University.<br/><br/>Description: List of Participants