Shapiro, Boris - Department of Mathematics, Stockholms Universitet

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Shapiro, Boris - Department of Mathematics, Stockholms Universitet

To V.I.Arnold on the occasion of his 60th birthday
ON THE COMPLEMENTS OF AFFINE SUBSPACE ARRANGEMENTS
To our Teacher on the occasion of his 60th birthday
DISCRIMINANTS OF CONVEX CURVES ARE HOMEOMORPHIC Department of Mathematics, University of Stockholm,
SKEWSYMMETRIC VANISHING LATTICES AND INTERSECTIONS OF SCHUBERT CELLS
@FREE MAPS SATISFY THE HOMOTOPY PRINCIPLE B. Z. Shapiro
TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS
COUNTING REAL RATIONAL FUNCTIONS WITH ALL REAL CRITICAL VALUES
EULER CHARACTERISTICS FOR LINKS OF SCHUBERT CELLS IN THE SPACE OF COMPLETE FLAGS
To Vladimir Igorevich Arnold with love and admiration
ON SINGULARITIES OF SMOOTH MAPS TO A SPACE WITH A FIXED CONE
Characteristic classes for the degenerations of 2plane fields in
THE MIXED HODGE STRUCTURE OF THE COMPLEMENT TO AN ARBITRARY ARRANGEMENT OF
MYSTERY OF POINT CHARGES ANDREI GABRIELOV + , DMITRY NOVIKOV # , AND BORIS SHAPIRO ++
LINEAR DIFFERENTIAL EQUATIONS AND FLAG VARIETIES B. Z. Shapiro
ON COMBINATORICS AND TOPOLOGY OF PAIRWISE INTERSECTIONS OF SCHUBERT CELLS IN SLn =B
arXiv:math.AG/0110235v121Oct2001 Journal of Knot Theory and Its Ramifications
HARDY-PETROVITCH-HUTCHINSON'S PROBLEM AND PARTIAL THETA FUNCTION
-FREE MAPS SATISFY THE HOMOTOPY PRINCIPLE Department of Mathematics, University of Stockholm,
ON POLYNOMIAL EIGENFUNCTIONS OF d k G. M asson y and B. Shapiro z
COMBINATORICS & TOPOLOGY OF STRATIFICATIONS OF THE SPACE OF MONIC POLYNOMIALS WITH REAL
PERIODIC DE BRUIJN TRIANGLES: EXACT AND ASYMPTOTIC RESULTS B. Shapiro z , M. Shapiro and A. Vainshtein y
HOMOTOPY CLASSIFICATION OF NONDEGENERATE QUASIPERIODIC CURVES ON THE 2SPHERE
ON THE BOUNDARY OF TOTALLY POSITIVITE UPPER TRIANGULAR MATRICES
KAZHDAN--LUSZTIG POLYNOMIALS FOR CERTAIN VARIETIES OF INCOMPLETE FLAGS
SWALLOWTAILS AND WHITNEY UMBRELLAS ARE HOMEOMORPHIC
PERIODIC DE BRUIJN TRIANGLES: EXACT AND ASYMPTOTIC RESULTS B. Shapiroz, M. Shapiro* and A. Vainshteiny
ON RING GENERATED BY CHERN 2-FORMS ON SL n =B Boris Shapiroz, Mikhail Shapiro*
To V.I.Arnold on the occasion of his 60-th birthday
SWALLOWTAILS AND WHITNEY UMBRELLAS ARE HOMEOMORPHIC
TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS
DISCRIMINANTS OF CONVEX CURVES ARE HOMEOMORPHIC B. Shapiro
SKEW-SYMMETRIC VANISHING LATTICES AND INTERSECTIONS OF SCHUBERT CELLS
COMBINATORICS AND TOPOLOGY OF STRATIFICATIONS OF THE SPACE OF MONIC POLYNOMIALS WITH REAL COEFFICIENTS
PROJECTIVE CONVEXITY IN P3 IMPLIES GRASSMANN CONVEXITY B. Shapiro and M. Shapiro
To Vladimir Igorevich Arnold with love and admiration
EULER CHARACTERISTICS FOR LINKS OF SCHUBERT CELLS IN THE SPACE OF COMPLETE FLAGS
THE M-PROPERTY OF FLAG VARIETIES B. Z. Shapiro, M. Z. Shapiro
COUNTING REAL RATIONAL FUNCTIONS WITH ALL REAL CRITICAL VALUES
SIMPLY-LACED COXETER GROUPS AND GROUPS GENERATED BY SYMPLECTIC TRANSVECTIONS
NORMAL FORMS OF WHITNEY UMBRELLA IN THE PRESENCE OF A CONE
ON THE COMPLEMENTS OF AFFINE SUBSPACE ARRANGEMENTS
To Vladimir Igorevich Arnold on the occasion of his 60-th birthday
Characteristic classes for the degenerations of 2-plane fields in
HOMOTOPY CLASSIFICATION OF NONDEGENERATE QUASIPERIODIC CURVES ON THE 2-SPHERE
TOPOLOGY OF INTERSECTIONS OF SCHUBERT CELLS AND HECKE ALGEBRA
THE MIXED HODGE STRUCTURE OF THE COMPLEMENT TO AN ARBITRARY ARRANGEMENT OF
ON SINGULARITIES OF SMOOTH MAPS TO A SPACE WITH A FIXED CONE
To our Teacher on the occasion of his 60-th birthday
On Young hulls of convex curves in R2n To our Teacher Vladimir Igorevi*
@~-FREE MAPS SATISFY THE HOMOTOPY PRINCIPLE B. Shapiro
LINEAR RECURRENCES AND VANDERMONDE VARIETIES. I. RALF FROBERG AND BORIS SHAPIRO
HOW TO RUN A ROACH YULIY BARYSHNIKOV AND BORIS SHAPIRO
Proceedings of 13th Geometry-Topology Conference
A NOTE ON EVGRAFOV-FEDOYUK'S THEORY AND QUADRATIC DIFFERENTIALS
MULTIPLIER SEQUENCES AND LOGARITHMIC MESH OLGA KATKOVA, BORIS SHAPIRO, AND ANNA VISHNYAKOVA
ROOT ASYMPTOTICS FOR THE EIGENFUNCTIONS OF UNIVARIATE DIFFERENTIAL OPERATORS
PARAMETRIC POINCARE-PERRON THEOREM WITH APPLICATIONS
ON HIGHER HEINE-STIELTJES POLYNOMIALS THOMAS HOLST AND BORIS SHAPIRO
A NOTE ON POSITIVITY PRESERVERS ALEXANDER GUTERMAN AND BORIS SHAPIRO
ON SPECTRAL POLYNOMIALS OF THE HEUN EQUATION. I. BORIS SHAPIRO AND MILOS TATER
HOMOGENIZED SPECTRAL PROBLEMS FOR EXACTLY SOLVABLE OPERATORS: ASYMPTOTICS OF
Zeros of eigenfunctions of some anharmonic oscillators
AROUND MATRIX-TREE THEOREM YURII BURMAN AND BORIS SHAPIRO
MYSTERY OF POINT CHARGES ANDREI GABRIELOV, DMITRY NOVIKOV, AND BORIS SHAPIRO
arXiv:math.CO/0301110v314Feb2003 TREES, PARKING FUNCTIONS, SYZYGIES, AND
arXiv:math.AG/0209062v16Sep2002 COUNTING REAL RATIONAL FUNCTIONS
"I think you might do something better with the time", Alice said, "than wasting it in asking riddles that have no answer ..."
ON ARRANGEMENTS OF ROOTS FOR A REAL HYPERBOLIC POLYNOMIAL AND ITS DERIVATIVES
ON POLYNOMIAL EIGENFUNCTIONS OF A HYPERGEOMETRIC-TYPE OPERATOR
DISCRIMINANTS OF CONVEX CURVES ARE HOMEOMORPHIC Department of Mathematics, University of Stockholm,
arXiv:dg-ga/9708009v112Aug1997 To Vladimir Igorevich Arnold
NORMAL FORMS OF WHITNEY UMBRELLA IN THE PRESENCE OF A CONE
ON THE COMPLEMENTS OF AFFINE SUBSPACE ARRANGEMENTS
ON THE NUMBER OF CONNECTED COMPONENTS IN THE SPACE OF CLOSED NONDEGENERATE CURVES ON Sn
Topologyand its Applications43 (1992)65-81 North-HoEland
EULER CHARACTERISTICS FOR LINKS OF SCHUBERT CELLS IN THE SPACE OF COMPLETE FLAGS
High energy eigenfunctions of one-dimensional Schrodinger operators with polynomial
CLASSIFICATION OF SYMPLECTIC LEAVES IN KACMOODY B. A. Khesin and B. Z. Shapiro
ON THE NUMBER OF CONNECTED COMPONENTS IN THE SPACE OF CLOSED NONDEGENERATE CURVES ON S n
HYPERBOLIC POLYNOMIALS AND SPECTRAL ORDER JULIUS BORCEA AND BORIS SHAPIRO
ON THE NUMBER OF CONNECTED COMPONENTS IN THE SPACE OF M-POLYNOMIALS IN HYPERBOLIC FUNCTIONS
SIMPLY-LACED COXETER GROUPS AND GROUPS GENERATED BY SYMPLECTIC TRANSVECTIONS
TOPOLOGY OF INTERSECTIONS OF SCHUBERT CELLS AND HECKE ALGEBRA
ON RATIONAL APPROXIMATION OF ALGEBRAIC FUNCTIONS
ON RING GENERATED BY CHERN 2FORMS ON SL n =B Boris Shapiro z , Mikhail Shapiro \Lambda
On Young hulls of convex curves in R 2n To our Teacher Vladimir Igorevich Arnold
To Vladimir Igorevich Arnold on the occasion of his 60th birthday
PROJECTIVE CONVEXITY IN P 3 IMPLIES GRASSMANN CONVEXITY B. Shapiro and M. Shapiro
NORMAL FORMS OF WHITNEY UMBRELLA IN THE PRESENCE OF A CONE
ON BOCHNER-KRALL ORTHOGONAL POLYNOMIAL SYSTEMS T. Bergkvist, H. Rullg ard and B. Shapiro
FIRST STEPS TOWARDS TOTAL REALITY OF MEROMORPHIC FUNCTIONS
ON ARRANGEMENTS OF ROOTS FOR A REAL HYPERBOLIC POLYNOMIAL AND ITS DERIVATIVES
KAZHDANLUSZTIG POLYNOMIALS FOR CERTAIN VARIETIES OF INCOMPLETE FLAGS
NEW MULTIPLIER SEQUENCES VIA DISCRIMINANT MIKAEL PASSARE, J. MAURICE ROJAS, AND BORIS SHAPIRO
1985 . --. 40, . 5(245) 14 1984 *
ON TOTAL REALITY OF MEROMORPHIC ALEX DEGTYAREV, TORSTEN EKEDAHL, ILIA ITENBERG,
LINEAR DIFFERENTIAL EQUATIONS AND REAL FLAG MANIFOLDS B. Z. Shapiro UDC 539.3
ALGEBRO-GEOMETRIC ASPECTS OF HEINE-STIELTJES BORIS SHAPIRO
1 QES sextic AHOs Our model is a 1D sextic anharmonic oscillator, which is
ON COMBINATORICS AND TOPOLOGY OF PAIRWISE INTERSECTIONS OF SCHUBERT CELLS IN SLn/B
ON THE BOUNDARY OF TOTALLY POSITIVITE UPPER TRIANGULAR MATRICES
ON TWO CONJECTURES CONCERNING CONVEX CURVES V. Sedykh and B. Shapiro
HERMITE-POULAIN THEOREM IN FINITE DIFFERENCE PETTER BRANDEN, ILIA KRASIKOV, AND BORIS SHAPIRO
ON RING GENERATED BY CHERN 2-FORMS ON SLn/B Boris Shapiro
USING HOMOLOGICAL DUALITY IN CONSECUTIVE PATTERN AVOIDANCE ANTON KHOROSHKIN AND BORIS SHAPIRO
arXiv:dg-ga/9704001v12Apr1997 Characteristic classes for the
DISCRIMINANTS, SYMMETRIZED GRAPH MONOMIALS, AND SUMS OF SQUARES
1988 . --. 43, . 4 (262) ( , 18--21 1988 .)
To Vladimir Igorevich Arnold on the occasion of his 60-th birthday
COMBINATORICS AND TOPOLOGY OF STRATIFICATIONS OF THE SPACE OF MONIC POLYNOMIALS WITH REAL COEFFICIENTS
Fig.1. Representatives of connected components for right nondegenerate curves on S2
NARAYANA NUMBERS AND SCHUR-SZEGO COMPOSITION VLADIMIR P. KOSTOV, ANDREI MARTINEZ-FINKELSHTEIN, AND BORIS Z. SHAPIRO
PROJECTIVE CONVEXITY IN P3 IMPLIES GRASSMANN CONVEXITY
ON SPECTRAL POLYNOMIALS OF THE HEUN EQUATION. II. BORIS SHAPIRO, KOUICHI TAKEMURA, AND MILOS TATER
elementary triangle elementary diamond
SWALLOWTAILS AND WHITNEY UMBRELLAS ARE HOMEOMORPHIC
ON EIGENVALUES OF RECTANGULAR MATRICES BORIS SHAPIRO AND MICHAEL SHAPIRO
SPACES OF LOCALLY CONVEX CURVES IN Sn COMBINATORICS OF THE GROUP B+
CLASSIFICATION OF SYMPLECTIC LEAVES IN KAC-MOODY ALGEBRAS GL3 AND SOn
THE MIXED HODGE STRUCTURE OF THE COMPLEMENT TO AN ARBITRARY ARRANGEMENT OF
FIRST STEPS TOWARDS TOTAL REALITY OF MEROMORPHIC FUNCTIONS
Polynomial Solutions of the Heun Equation B. Shapiroa
HYPERGEOMETRIC POLYNOMIALS AND QUADRATIC DIFFERENTIALS
ON THE WARING PROBLEM FOR POLYNOMIAL RINGS RALF FROBERG, GIORGIO OTTAVIANI, AND BORIS SHAPIRO
CORRIGENDUM: "HOMOGENIZED SPECTRAL PROBLEMS FOR EXACTLY SOLVABLE OPERATORS: ASYMPTOTICS OF