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RECURSIONS FOR CHARACTERISTIC NUMBERS OF GENUS ONE PLANE CURVES
CHARACTERISTIC PLANE CURVES
2015/7/14
Characteristic numbers of families of maps of nodal curves to P2 are de ned as
intersection of natural divisor classes. (This de nition agrees with the usual de nition for
families of plane curves.)...
We introduce basic characteristic classes and numbers as new invariants for Riemannian foliations. If the ambient Riemannian manifold M is simply connected (or more generally if the foliation is a tra...
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 $k$...
Laudal’s Lemma states that if C is a curve of degree d > s2 + 1 in P3 over an algebraically closed field of characteristic 0 such that its plane section is contained in an irreducible curve of degree ...
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...