zbMath0659.58002MaRDI QIDQ4040393
Alexander Varchenko, Vladimir I. Arnold, Sabir M. Gusein-Zade
Publication date: 5 June 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Conjectures on stably Newton degenerate singularities,
Lagrangian skeleta and plane curve singularities,
On the moduli space of pairs consisting of a cubic threefold and a hyperplane,
Abelian integrals in holomorphic foliations.,
On the dynamics of a one-dimensional self-gravitating medium,
On Meromorphic Continuation of Local Zeta Functions,
Hamiltonian stability and subanalytic geometry,
Mixed Hodge structure of affine hypersurfaces,
The asymptotic behavior of degenerate oscillatory integrals in two dimensions,
Integration of oscillatory and subanalytic functions,
Global mirror symmetry for invertible simple elliptic singularities,
Non-perturbative results on the point particle limit of \(N=2\) heterotic string compactifications,
Morsifications of real plane curve singularities,
\(\mu\)-constant monodromy groups and marked singularities,
A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence,
Periods of Hodge cycles and special values of the Gauss' hypergeometric function,
Perturbations of quadratic Hamiltonian systems with symmetry,
Meromorphic connections on \(\mathbb P^1\) and the multiplicity of Abelian integrals,
Anti-concentration of polynomials: dimension-free covariance bounds and decay of Fourier coefficients,
On the isoenergetical non-degeneracy of the problem of two centres of gravitation,
Oscillatory integrals and fractal dimension,
The infinitesimal 16th Hilbert problem in dimension zero,
Global mirrors and discrepant transformations for toric Deligne-Mumford stacks,
Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex,
Equivariant orbifold structures on the projective line and integrable hierarchies,
Local moduli of semisimple Frobenius coalescent structures,
Resolution of singularities in two dimensions and the stability of integrals,
Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials,
Quasi-modular forms attached to elliptic curves. I,
A note on distinguished bases of singularities,
Mother canonical tensor model,
Asymptotic analysis of diffraction integrals in Gevrey spaces,
Poles of the complex zeta function of a plane curve,
Seiberg-Witten invariants and surface singularities,
Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\),
Igusa’s Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials,
\(L^{p}\) Sobolev regularity of averaging operators over hypersurfaces and the Newton polyhedron,
Structure of leaves and the complex Kupka-Smale property,
Analyticity of the total ancestor potential in singularity theory,
On the number of zeros of Melnikov functions,
Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms,
Integral structure for simple singularities,
Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics,
Perverse sheaves on rank stratifications,
Discriminant complements and kernels of monodromy representations,
Syzygies and logarithmic vector fields along plane curves,
Exotic iterated Dehn twists,
Laurent determinants and arrangements of hyperplane amoebas,
Monodromy of rank 2 twisted Hitchin systems and real character varieties,
Darboux linearization and isochronous centers with a rational first integral,
A note on higher order Melnikov functions,
The simplification of singularities of Lagrangian and Legendrian fronts,
Uniqueness of limit cycles and quotients of abelian integrals,
Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated,
Gromov-Witten theory and cycle-valued modular forms,
Two dimensional gauge theories revisited,
Integral Hodge conjecture for Fermat varieties,
A mirror symmetric construction of \(qH_T^*(G/P)_{(q)}\),
Variance of the spectral numbers and Newton polygons,
Geometric quantization of integrable systems with hyperbolic singularities,
Injective analytic maps,
Kernel of the variation operator and periodicity of open books,
Integral cohomology of the Milnor fibre of the discriminant bundle associated with a finite Coxeter group,
New strings for old Veneziano amplitudes. II: group-theoretic treatment,
Gauss-Manin connection in disguise: genus two curves,
Slow unfoldings of contact singularities in singularly perturbed systems beyond the standard form,
Monodromy groups of Hurwitz-type problems,
Presentations of periodic maps on oriented closed surfaces of genera up to 4,
Hyperplane integrability conditions and smoothing for Radon transforms,
Newton polyhedra and weighted oscillatory integrals with smooth phases,
Uniform bounds for Fourier transforms of surface measures in R$^3$ with nonsmooth density,
Irreducibility of the Picard-Fuchs equation related to the Lotka-Volterra polynomial \(x^2y^2(1-x-y)\),
The Eynard-Orantin recursion for the total ancestor potential,
Meromorphy of local zeta functions in smooth model cases,
On the new \(k\)-th Yau algebras of isolated hypersurface singularities,
The monodromy problem for hyperelliptic curves,
Gauss-Manin connections for boundary singularities and isochore deformations,
Asymptotical behavior of one class of \(p\)-adic singular Fourier integrals,
Lens space surgeries as A'Campo's divide knots,
Conjectures on spectral numbers for upper triangular matrices and for singularities,
Matrix model for the total descendant potential of a simple singularity of type \(D\),
Quantum geometry of PDE's,
Disjoinable Lagrangian spheres and dilations,
Lattice points counting and bounds on periods of Maass forms,
On holomorphic curves tangent to real hypersurfaces of infinite type,
Singular integral operators with kernels associated to negative powers of real-analytic functions,
Logarithmic Vector Fields and the Severi Strata in the Discriminant,
Standard conjecture \(D\) for matrix factorizations,
The incidence class and the hierarchy of orbits,
An algebraic formula for the Euler characteristic of some semi-algebraic sets,
Gauss-Manin connection of hyperelliptic polynomials,
Sur le système local de Gauss-Manin d'un polynôme de deux variables,
Cyclicity of homoclinic loops and degenerate cubic Hamiltonians,
Gamma integral structure for an invertible polynomial of chain type,
Infinite orbit depth and length of Melnikov functions,
Volume of sublevel sets versus area of level sets via Gelfand-Leray form,
Complex-analytic theory of the \(\mu\)-function,
Convolution of Picard-Fuchs equations,
Gravitational thermodynamics without the conformal factor problem: partition functions and Euclidean saddles from Lorentzian path integrals,
Asymptotics of multivariate sequences. I: Smooth points of the singular variety,
Singularity theory and mirror symmetry,
Archimedean zeta functions and oscillatory integrals,
Bifurcations of limit cycles of perturbed completely integrable systems,
Minimal exponents of hyperplane sections: a conjecture of Teissier,
Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions,
Sublevel-set estimates over global domains,
Hamiltonian Monodromy via spectral Lax pairs,
Reconstructions of the asymptotics of an integral determined by a hyperbolic unimodal singularity,
Morsifications and mutations,
Algebraic curves and foliations,
ASYMPTOTIC EXPANSION OF OSCILLATORY INTEGRALS WITH SINGULAR PHASES,
On Legendrian cobordisms and generating functions,
Systoles and Lagrangians of random complex algebraic hypersurfaces,
Stokes matrices for the quantum cohomologies of a class of orbifold projective lines,
On elliptic modular foliations, II,
Double scaling limits, Airy functions and multicritical behaviour in \(\text{O}(N)\) vector sigma models,
Gorenstein-duality for one-dimensional almost complete intersections-with an application to non-isolated real singularities,
Asymptotic expansions of Laplace-type integrals. III,
Algorithms for the Gauss-Manin connection,
D-branes on ALE spaces and the ADE classification of conformal field theories,
Boundary rings and \(N=2\) coset models,
Redundant Picard-Fuchs system for abelian integrals,
A Numerical Transcendental Method in Algebraic Geometry: Computation of Picard Groups and Related Invariants,
Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations,
Nonpolar singularities of local zeta functions in some smooth case,
Estimates for maximal functions associated to hypersurfaces in $\mathbb {R}^3$ with height $h<2$: Part I,
Asymptotics of Gaussian integrals in infinite dimensions,
Computing periods of hypersurfaces,
Center conditions: Pull-back of differential equations,
Vanishing cycles of matrix singularities,
Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties,
Volumes of sub-level sets and the decay of oscillatory integrals,
On Huh’s conjectures for the polar degree,
Distinguished Bases and Monodromy of Complex Hypersurface Singularities,
On the Distribution of Solutions to Diophantine Equations,
Complements to Ample Divisors and Singularities