Serdica Mathematical Journal

Volume 23, Number 2, 1997


C O N T E N T S


A B S T R A C T S


HIGHEST WEIGHT MODULES OF W1+, DARBOUX TRANSFORMATIONS AND THE BISPECTRAL PROBLEM
B. Bakalov, E. Horozov, M. Yakimov

1991 Mathematics Subject Classification: Primary -- 81R10, 58F07, 58F37; secondary -- 17B68, 17B69, 33C60.
Key words: Bispectral operators, Darboux transformations, $W$-algebras, highest weight representations, KP-hierarchy.


ON THE KAM - THEORY CONDITIONS FOR THE KIRCHHOFF TOP
Ognyan Christov

1991 Mathematics Subject Classification: 58F07, 70Exx.
Key words: KAM-theory, Kirchhoff top, Abelian integrals.


ON THE ISOENERGETICAL NON-DEGENERACY OF THE PROBLEM OF TWO CENTERS OF GRAVITATION
Dragomir Dragnev

1991 Mathematics Subject Classification: 58F07, 70Exx.
Key words: two centers of gravitation, isoenergetical non-degeneracy.


TOWARD CLEMENS' CONJECTURE IN DEGREES BETWEEN 10 AND 24
Trygve Johnsen, Steven L. Kleiman

1991 Mathematics Subject Classification: Primary 14J30, secondary: 14H45, 14N10.
Key words: rational curves, quintic threefold.


SYMPLECTIC REPRESENTATION OF A BRAID GROUP ON 3-SHEETED COVERS OF THE RIEMANN SPHERE
Rolf-Peter Holzapfel

1991 Mathematics Subject Classification: 11G15, 11G18, 11H56, 11R11, 14D05, 14D22, 14E20, 14G35, 14H10, 14H30, 14H40, 14H5, 14J10, 14J15, 14J25, 14K10, 14K20, 14K22, 14M17, 20C12, 20H05, 20H10, 32G20, 32M15, 33C40
Key words: algebraic curves, abelian threefolds, period matrices, moduli spaces, Shimura surface, Siegel domain, complex unit ball, uniformization, braid group, monodromy group, modular group, gundamental groups, Picard-Fuchsian groups, symplectic group, aritmetic group, representation, quadratic number field.


WHEN DOES A BOUNDED DOMAIN COVER A PROJECTIVE MANIFOLD? (SURVEY)
Azniv Kasparian

1991 Mathematics Subject Classification: 32J25, 14E20, 32M05.
Key words: Uniformization of compact complex manifolds with ample canonical bundle, lattices in semisimple algebraic groups, bounded domains with and without compact discrete quotients.


QUANTUM MECHANICS OF GUIDING CENTER MOTION IN STRONG MAGNETIC FIELD (COHERENT STATE PATH INTEGRAL APPROACH)
Hiroshi Kuratsuji, Teruyuki Tochishita, Masayuki Mizui

1991 Mathematics Subject Classification: 58D30.
Key words: Landau level, guiding ceter, coherent state.


NADEL'S SUBSCHEMES OF FANO MANIFOLDS X WITH A PICARD GROUP Pic(X) ISOMORPHIC TO Z
M. Yotov

1991 Mathematics Subject Classification: 32L10, 32L20, 32F05. Key words: Fano manifolds, holomorphic vector bundles, vanishing theorems, Nadel's subschemes.


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