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On a Newton filtration for functions on a curve singularity
Newton filtration functions curve singularity Algebraic Geometry
2012/6/9
In a previous paper, there was defined a multi-index filtration on the ring of functions on a hypersurface singularity corresponding to its Newton diagram generalizing (for a curve singularity) the di...
A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
stratification moduli spaces symplectic orthogonal bundles curve Algebraic Geometry
2012/4/23
A symplectic or orthogonal bundle $V$ of rank $2n$ over a curve has an invariant $t(V)$ which measures the maximal degree of its isotropic subbundles of rank $n$. This invariant $t$ defines stratifica...
The canonical ring of a 3-connected curve
algebraic curve Noether’s theorem canonical ring
2011/9/22
Abstract: Let C be a Gorenstein curve which is either reduced or contained in a smooth algebraic surface. We show that the canonical ring R(C, \omega_C)=\oplus_{k \geq 0} H^0(C, \omega_C^k) is generat...
Poincare series for plane curve singularities and their behaviour under projections
Curve singularity Alexander polynomial Poincare series value semigroup Grothendieck ring of varieties
2011/8/26
Abstract: Our purpose is to investigate all defined Poincar\'e series associated with multi-index filtrations and value semigroups of curve singularities---not necessarily complex---with regard to the...
On some curve singularity invariants and reductions
adeles motivic integration reduction of algebraic curves zeta functions
2011/8/24
Abstract: This paper deals with the study of the behaviour of the value semigroup of a curve singularity define over a global field reduced modulo a maximal ideal. We also define a global zeta functio...