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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.)...
Inspired by this, for the rational
function field K = κ(u) over any finite field κ with characteristic 6= 2, we construct an
explicit 2-parameter family Ec,d of non-isotrivial elli...
Pointwise characteristic factors for the multidimensional return times theorem
Pointwise characteristic factors multidimensional return times theorem
2011/1/21
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
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...
On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields
The Characteristic Polynomial Frobenius Supersingular Abelian
2010/11/15
In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension $1,~2,~3,~4,~5,~6,~7$ over $\mathbb{F}_q$ whe...
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 ...
The Witt construction in characteristic one and Quantization
Witt construction Quantization Entropy
2010/12/2
We develop the analogue of the Witt construction in characteristic one. We construct a functor from pairs (R, ) of a perfect semi-ring R of characteristic one and an element > 1 of R to real Banach...
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...