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Preprints on Jet Schemes and Motivic
Integration |
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Preprints on Jet Schemes and Motivic
Integration |
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F. Baldassarri, C. Deninger, N. Naumann
A motivic version of
Pellikaan's two variable zeta function.
Artal Bartolo, Pi. Cassou-Noguès, I. Luengo,
A. Melle Hernández
Quasi-ordinary
power series and their zeta functions
Victor V. Batyrev
Birational
Calabi--Yau n-folds have equal Betti numbers.
Non-Archimedian
integrals and stringy Euler numbers of log terminal pairs.
Stringy Hodge
numbers and Virasoro algebra.
Stringy Hodge
numbers of varieties with Gorenstein canonical singularities.
Mirror duality
and string-theoretic Hodge numbers.
Victor V. Batyrev and Dimitrios
I. Dais
Strong McKay
Correspondence, String-theoretic Hodge Numbers and Mirror Symmetry.
Franziska Bittner
On motivic zeta
functions and the motivic nearby fiber
The universal Euler
characteristic for varieties of characteristic zero
A. I. Bondal, M. Larsen, V. A. Lunts
Grothendieck ring
of pretriangulated categories
Nero Budur
On Hodge spectrum
and multiplier ideals.
A. Buium
Intersections in Jet Spaces and a Conjecture of S. Lang,
Annals, 136, 3 557-567.
Raf Cluckers
Multi-variate
Igusa theory: decay rates of Kloosterman sums
Analytic p-adic Cell
Decomposition and Integrals
Raf Cluckers, F. Loeser
Fonctions
constructibles et intégration motivique I
Fonctions
constructibles et intégration motivique II
Alastair Craw
An
introduction to motivic integration.
Clifton Cunningham, Thomas C. Hales
Good orbital integrals
J. Denef
Arithmetic and geometric applications of quantifier elimination for valued
fields.
Slides of
ICM2002 talk: Motivic integration and the Grothendieck group of pseudo-finite
fields.
J. Denef and F. Loeser
Geometry on arc
spaces of algebraic varieties.
Lefschetz numbers
of iterates of the monodromy and truncated arcs.
Motivic
integration and the Grothendieck group of pseudo-finite fields.
Motivic
integration, quotient singularities and the McKay correspondence.
Motivic Igusa zeta
functions, J. Algebraic Geom. 7 (1998), 505--537.
Germs of arcs on
singular algebraic varieties and motivic integration, Invent. Math. 135
(1999), 201--232.
Motivic
exponential integrals and a motivic Thom-Sebastiani Theorem, Duke Math. J. 99
(1999), 285--309.
Definable sets,
motives and p-adic integrals, J. Amer.
Math. Soc. 14 (2001), 429--469.
On some rational
generating series occuring in arithmetic geometry.
Geometry on Arc Spaces (slides).
J. Denef and H. Schoutens
On
the decidability of the expoential theory of F_p[[t]].
M. du Sautoy and F. Loeser
Motivic zeta
functions of infinite dimensional Lie algebras.
Lawrence Ein and Mircea Mustata
Inversion of
adjunction for locally complete intersection varieties.
The log canonical
threshold of homogeneous affine hypersurfaces.
Lawrence Ein, Robert Lazarsfeld, Mircea
Mustata
Contact loci in arc
spaces
Lawrence Ein, Mircea Mustata, and
Takehiko Yasuda
Jet schemes,
log discrepancies and Inversion of Adjunction.
Tommaso de Fernex, Lawrence
Ein and Mircea Mustata
Bounds for log
canonical thresholds with applications to birational rigidity.
Multiplicities and
log canonical threshold.
Goulwen Fichou
Motivic
invariants of Arc-Symmetric sets and Blow-Nash Equivalence
Julia Gordon
Motivic Haar
measure on reductive groups.
Julia Gordon and Thomas C. Hales
Virtual
Transfer Factors.
G. Guibert, F. Loeser, M. Merle
Iterated
vanishing cycles, convolution, and a motivic analogue of a conjecture of
Steenbrink.
S. M. Gusein-Zade,
I. Luengo , A. Melle-Hernandez
An
exponential function on the set of varieties.
Thomas C. Hales
What is
Motivic Measure?
Can p-adic
integrals be computed?
Orbital
Integrals are Motivic.
Shihoko Ishii and János Kollár
The Nash problem
on arc families of singularities.
Tetsushi Ito
Birational
smooth minimal models have equal Hodge numbers in all dimensions.
Stringy Hodge
numbers and p-adic Hodge theory.
M. Kapranov
The elliptic
curve in the S-duality theory and Eisenstein series for Kac-Moody groups
Satoshi Koike, Adam Parusinski
Motivic-type
Invariants of Blow-analytic Equivalence
M. Kontsevich
Lecture on Motivic Integration at Orsay, 1995. (notes available
here
)
Tomaz Kosir, B. A. Sethuraman
Determinantal
Varieties Over Truncated Polynomial Rings.
Michael Larsen, Valery A. Lunts
Rationality
criteria for motivic zeta-functions.
Motivic measures
and stable birational geometry.
F. Loeser
Motivic zeta
functions for prehomogeneous vector spaces and castling transformations.
F. Loeser and J. Sebag
Motivic
integration on smooth rigid varieties and invariants of degenerations.
Eduard Looijenga
Motivic measures.
E. Lupercio, M. Poddar
The global
McKay-Ruan correspondence via motivic integration
R.Moosa, A. Pillay, and T. Scanlon
Differential arcs and regular types in differential fields
Mircea Mustata
Jet Schemes of
Locally Complete Intersection Canonical Singularities, Invent. Math. 145
(2001), 397--424.
Singularities of Pairs via Jet Schemes, J. Amer. Math. Soc. 15
(2002), 599--615.
Multiplier
ideals of hyperplane arrangements
Johannes Nicaise
Motivic
generating series for toric surface singularities.
Arcs and resolution of singularities
N. Naumann
Algebraic
independence in the Grothendieck ring of varieties
John F. Nash, Jr.
Arc structure of singularities, Duke Math. J. 81 (1995),
no.~1, 31--38 (1996).
A. Pillay and M. Ziegler
Jet spaces of varieties over differential and difference fields
Camille Plenat
A propos de la
conjecture de Nash.
Resolution du
probleme des arcs de Nash pour les points doubles rationnels.
Bjorn Poonen
The Grothendieck
ring of varieties is not a domain.
Miles Reid
La
correspondance de McKay.
Julien Sebag
Integration
motivique sur les schemas formels.
Rationalite des
series de Poincare et des fonctions Zeta motiviques.
Irréductibilité du schéma des arcs.
Dirk Segers, Willem Veys
On the
smallest poles of topological zeta functions
Frank Sottile, Bernd Sturmfels
A sagbi basis
for the quantum Grassmannian.
Willem Veys
Arc spaces,
motivic integration and stringy invariants
Zeta functions
and 'Kontsevich invariants' on singular varieties.
Stringy invariants of normal surfaces.
Stringy zeta
functions for Q-Gorenstein varieties
Takehiko Yasuda
Motivic
integration over Deligne-Mumford stacks
Dimensions
of jet schemes of log singularities.
Twisted jet,
motivic measure and orbifold cohomology.