DOI10.1007/s002220050284zbMath0928.14004arXivmath/9803039OpenAlexW3103157833WikidataQ56813054 ScholiaQ56813054MaRDI QIDQ1283514
François Loeser, Jan Denef
Publication date: 23 August 1999
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9803039
Singularités à l’infini et intégration motivique,
The wild McKay correspondence via motivic integration,
Combinatorics with Definable Sets: Euler Characteristics and Grothendieck Rings,
Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals,
The stringy E-function of the moduli space of rank 2 bundles over a Riemann surface of genus 3,
Monodromy conjecture for some surface singularities,
Formal loops II: A local Riemann–Roch theorem for determinantal gerbes,
THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC,
Motivic integration and projective bundle theorem in morphic cohomology,
Motivic Wave Front Sets,
Generalized Poincaré series for plane curve singularities,
Introduction to 𝑝-adic Igusa zeta functions,
An introduction to 𝑝-adic and motivic integration, zeta functions and invariants of singularities,
Arcology,
The Drinfeld-Grinberg-Kazhdan Theorem for formal schemes and singularity theory,
On the algebraic stringy Euler number,
The classical Artin approximation theorems,
Arc spaces and wedge spaces for toric varieties,
The minimal formal models of curve singularities,
Geometric Batyrev-Manin-Peyre for equivariant compactifications of additive groups,
Motivic invariants of real polynomial functions and their Newton polyhedrons,
Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022,
Lefschetz numbers of Verdier monodromy and the motivic monodromy conjecture for toric varieties,
Torification and factorization of birational maps,
Singularities of pairs via jet schemes,
Noncommutative crepant resolutions, an overview,
Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities,
Nash’s work in algebraic geometry,
Differential arcs and regular types in differential fields,
On a comparison of minimal log discrepancies in terms of motivic integration,
Euler reflexion formulas for motivic multiple zeta functions,
Newton Transformations and the Motivic Milnor Fiber of a Plane Curve,
Motivic Milnor fibers of a rational function,
The strong monodromy conjecture for monomial ideals on toric varieties,
Some Numerical Criteria for the Nash Problem on Arcs for Surfaces,
Calabi–Yau Quotients of Hyperkähler Four-folds,
The auto Igusa-zeta function of a plane curve singularity is rational,
Exceptional divisors that are not uniruled belong to the image of the Nash map,
Jet schemes of normal toric surfaces,
Three-dimensional counter-examples to the Nash problem,
On the equivariant blow-Nash classification of simple invariant Nash germs,
Grothendieck Rings of ℤ-Valued Fields,
Space of real arc germs and Poincaré series of a semi-algebraic set,
Geometric motivic Poincaré series of quasi-ordinary singularities,
Motivic zeta functions for curve singularities,
What is motivic measure?,
Counting \(p\)-groups and nilpotent groups,
On motivic principal value integrals,
Unnamed Item,
Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra,
Real Milnor Fibres and Puiseux Series,
Motivic integrals and functional equations,
Perspectives on scissors congruence,
Jet schemes and invariant theory,
Analytic $p$-adic cell decomposition and integrals,
THE SCHEME OF FORMAL CURVES ON AN ABELIAN VARIETY,
𝐾-equivalence in birational geometry and characterizations of complex elliptic genera,
Embedding codimension of the space of arcs,
EQUIVARIANT ZETA FUNCTIONS FOR INVARIANT NASH GERMS,
AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES,
Stringy invariants of normal surfaces,
Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function,
Motivic Integration on Toric Stacks,
Arcs on determinantal varieties,
JET SCHEMES OF QUASI-ORDINARY SURFACE SINGULARITIES,
Sur la linéarité de la fonction de Artin,
Vanishing of principal value integrals on surfaces,
A proof of the $\ell$-adic version of the integral identity conjecture for polynomials,
Zeta functions and counting finite p-groups,
Analytic cell decomposition and analytic motivic integration,
The arc space of horospherical varieties and motivic integration,
Corrigendum: A curve selection lemma in spaces of arcs and the image of the Nash map,
Hensel minimality I,
Arquile Varieties – Varieties Consisting of Power Series in a Single Variable,
The -cyclic McKay correspondence via motivic integration,
Motivic Euler Products and Motivic Height Zeta Functions,
On the existence of a crepant resolution of some moduli spaces of sheaves on an abelian surface,
Matroids, motives, and a conjecture of Kontsevich.,
Elliptic genera of singular varieties.,
Motivic-type invariants of blow-analytic equivalence.,
The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron,
The arc space of a toric variety,
The Denef-Loeser series for toric surface singularities,
Two algorithms for computing the general component of jet scheme and applications,
Constructible function and motivic integration. I.,
Cohomology of contact loci,
A strong version of implicit function theorem,
Trace formulas for motivic volumes,
\(K\)-equivalent varieties and piecewise geometry,
On the auto Igusa-zeta function of an algebraic curve,
Deforming spaces of \(m\)-jets of hypersurfaces singularities,
Motivic integration over Deligne-Mumford stacks,
Small irreducible components of arc spaces in positive characteristic,
Stringy Chern classes of singular varieties,
Ideal-adic semi-continuity problem for minimal log discrepancies,
Zeta functions and oscillatory integrals for meromorphic functions,
Geodesic flows with positive topological entropy, twist maps and hyperbolicity,
On Grothendieck rings and algebraically constructible functions,
A proof of the integral identity conjecture. II,
Multi-index filtrations and generalized Poincaré series,
Coordinates at stable points of the space of arcs,
Motivic Serre invariants of curves,
The Nash problem for surfaces,
Families of \(m\)-jet spaces and arc spaces,
Motivic Milnor fiber at infinity and composition with a non-degenerate polynomial,
Hilbert function, generalized Poincaré series and topology of plane valuations,
Log canonical thresholds in positive characteristic,
On a motivic invariant of the arc-analytic equivalence,
Motivic zeta functions on \(\mathbb{Q}\)-Gorenstein varieties,
Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties,
Arc spaces and the Rogers-Ramanujan identities,
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets,
Motivic integration and birational invariance of BCOV invariants,
Characteristic classes of proalgebraic varieties and motivic measures,
Jet closures and the local isomorphism problem,
Jacobian discrepancies and rational singularities,
Definable sets, motives and 𝑝-adic integrals,
Birationally rigid hypersurfaces,
Mather discrepancy and the arc spaces,
Arc spaces and equivariant cohomology,
The motivic real Milnor fibres,
Generalised Poincaré series and embedded resolution of curves,
Grothendieck ring of semialgebraic formulas and motivic real Milnor fibers,
Image of the Nash map in terms of wedges.,
On the cut-and-paste property of algebraic varieties,
A moduli scheme of embedded curve singularities,
Stringy zeta functions for \(\mathbb Q\)-Gorenstein varieties,
The Nash problem on arc families of singularities,
Motivic integration on smooth rigid varieties and invariants of degenerations,
Virtual rigid motives of semi-algebraic sets,
Constructible motivic functions and motivic integration,
Blow-Nash types of simple singularities,
Motivic multiplicative McKay correspondence for surfaces,
Poincaré series of a rational surface singularity,
Divisorial valuations via arcs,
Motivic Serre invariants, ramification, and the analytic Milnor fiber,
Motivic exponential integrals and a motivic Thom-Sebastiani theorem,
Grothendieck rings of theories of modules,
Newton transformations and motivic invariants at infinity of plane curves,
Poincaré series of a toric variety,
The motivic zeta function and its smallest poles,
Prolongations in differential algebra,
Contact loci, motivic Milnor fibers of nondegenerate singularities,
Formal loops. III. Additive functions and the Radon transform,
The motivic Thom-Sebastiani theorem for regular and formal functions,
Coniveau and the Grothendieck group of varieties,
Canonical singularities and horospherical actions,
Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions,
On some aspects of the geometry of the space of arcs on an analytic space,
Proofs of the integral identity conjecture over algebraically closed fields,
Supersymmetry and the formal loop space,
Jet schemes of toric surfaces,
Vertex algebras and the formal loop space,
Constructible functions and motivic integration. II,
Constructible exponential functions, motivic Fourier transform and transfer principle,
Rationality of Poincaré series and motivic zeta functions.,
Arcs and resolution of singularities,
Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink,
Beyond heights: slopes and distribution of rational points,
Toric arc schemes and quantum cohomology of toric varieties,
On \(p\)-adic string amplitudes in the limit \(p\) approaches to one,
Motivic Milnor fibers of plane curve singularities,
Integration over the space of functions and Poincaré series revisited,
The arc space of the Grassmannian,
A trace formula for rigid varieties, and motivic Weil generating series for formal schemes,
Nilpotent bicone and characteristic submodule of a reductive Lie algebra,
Generically finite morphisms and formal neighborhoods of arcs,
Differentials on the arc space,
The Poincaré series of a simple complete ideal of a two-dimensional regular local ring,
Equivariant motivic integration and proof of the integral identity conjecture for regular functions,
Jet schemes of quasi-homogeneous hypersurfaces and motivic monodromy conjecture for isolated quasi-homogeneous hypersurface singularities,
Triviality of arc closures and the local isomorphism problem,
Evaluation of motivic functions, non-nullity, and integrability in fibers,
Integration over spaces of nonparametrized arcs and motivic versions of the monodromy zeta function,
Discriminants in the Grothendieck ring,
On Poincaré series of singularities of algebraic curves over finite fields