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New Ideas for Resolution of Singularities in Arbitrary Characteristic
New Ideas Resolution Singularities Arbitrary Characteristic
2010/11/11
Let $k$ be \emph{any} algebraically closed field in any characteristic, let $R$ be any regular local ring such that $R$ contains $k$ as a subring, the residue field of $R$ is isomorphic to $k$ as $k$...
Geometric motivic Poincaré series of quasi-ordinary singularities
Geometric motivic Poincaré series quasi-ordinary singularities
2010/11/19
The geometric motivic Poincar\'e series of a germ $(S,0)$ of complex algebraic variety takes into account the classes in the Grothendieck ring of the jets of arcs through $(S,0)$. Denef and Loeser pro...
A formula for Euler characteristic of line singularities on singular spaces
Euler characteristic line singularities singular spaces
2010/10/29
We prove an algebraic formula for the Euler characteristic of the Milnor fibres of functions with critical locus a smooth curve on a space which is a weighted homogeneous complete intersection with is...