On the Mixed Hodge Structure on the Cohomology of the Milnor Fibre.
On the modular curve . (Sur la courbe modulaire .)
On the Module of Zariski Differentials and Infinitesimal Deformations of Cusp Singularities.
On the moduli b-divisors of lc-trivial fibrations
Roughly speaking, by using the semi-stable minimal model program, we prove that the moduli part of an lc-trivial fibration coincides with that of a klt-trivial fibration induced by adjunction after taking a suitable generically finite cover. As an application, we obtain that the moduli part of an lc-trivial fibration is b-nef and abundant by Ambro’s result on klt-trivial fibrations.
On the moduli of curves with theta-characteristics
On the moduli of quasi-canonical liftings
On the moduli of reflexive sheaves on a surface with rational double points.
On the moduli of stable vector bundles on a Hirzebruch surface.
On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.
On the Moment Map of a Multiplicity Free Action
The purpose of this note is to show that the Orbit Conjecture of C. Benson, J. Jenkins, R. L. Lipsman and G. Ratcliff [BJLR1] is true. Another proof of that fact has been given by those authors in [BJLR2]. Their proof is based on their earlier results, announced together with the conjecture in [BJLR1]. We follow another path: using a geometric quantization result of Guillemin-Sternberg [G-S] we reduce the conjecture to a similar statement for a projective space, which is a special case of a characterization...
On the Monodromy Group of Plane Curve Singularities.
On the monodromy of curve singularities.
On the Monodromy Theorem for Isolated Hypersurface Singularities.
On the monotonicity of the quotient of certain abelian integrals.
On the Mostowski Number.
On the motive of a quotient variety.
We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.
On the motive of an algebraic surface.
On the motives of moduli of chains and Higgs bundles
We take another approach to Hitchin’s strategy of computing the cohomology of moduli spaces of Higgs bundles by localization with respect to the circle action. Our computation is done in the dimensional completion of the Grothendieck ring of varieties and starts by describing the classes of moduli stacks of chains rather than their coarse moduli spaces. As an application we show that the -torsion of the Jacobian acts trivially on the middle dimensional cohomology of the moduli space of twisted...
On the motivic measure on the space of functions.
On the motivic spectra representing algebraic cobordism and algebraic -theory.