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Displaying 181 – 200 of 915

The Denef-Loeser series for toric surface singularities.

Monique Lejeune-Jalabert, Ana J. Reguera (2003)

Revista Matemática Iberoamericana

Let H denote the set of formal ares going through a singular point of an algebraic variety V defined over an algebraically closed field k of charactcristic zcro. In the late sixties, J, Nash has observed that for any nonnegative integer s, the set js(H) of s-jets of ares in H is a constructible subset of some affine space. Recently (1999), J. Denef and F. Loeser have proved that the Poincaré series associated with the image of js(H) in some suitable localization of the Grothendieck ring of algebraic...

The density of rational and integral points on algebraic varieties

M. L. Brown (1992)

Annales scientifiques de l'École Normale Supérieure

The density of S-integral points in projective space with respect to a quadric

Nic Niedermowwe (2010)

Acta Arithmetica

The determinant line bundle over moduli spaces of instantons on abelian surfaces.

Antony Maciocia (1994)

Mathematische Zeitschrift

The Deuring-Safarevic Formula Revisited.

Robert C. Valentini (1987)

Mathematische Zeitschrift

The diffeomorphism classification of non-simply connected Dolgachev surfaces.

Stefan Bauer (1993)

Journal für die reine und angewandte Mathematik

The differential Galois theory of regular singular p-adic differential equations.

Richard Crew (1996)

Mathematische Annalen

The differential spectrum of a ring

Paulo Ribenboim (1973)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

The (dimension + 2)-secant Lemma.

Ziv Ran (1991)

Inventiones mathematicae

The dimension of certain catalecticant varieties.

Aldo Conca, Giuseppe Valla (2004)

Collectanea Mathematica

The dimension of some affine Deligne–Lusztig varieties

Eva Viehmann (2006)

Annales scientifiques de l'École Normale Supérieure

The dimension of the Chow variety of curves

David Eisenbud, Joe Harris (1992)

Compositio Mathematica

The dimension of the derived category of elliptic curves and tubular weighted projective lines

Steffen Oppermann (2010)

Colloquium Mathematicae

We show that the dimension of the derived category of an elliptic curve or a tubular weighted projective line is one. We give explicit generators realizing this number, and show that they are in a certain sense minimal.

The Diophantine equation f(x) = g(y)

Yuri Bilu, Robert Tichy (2000)

Acta Arithmetica

The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms

Satoshi Koike, Laurentiu Paunescu (2009)

Annales de l’institut Fourier

Let $A \subset ℝ^{n}$ be a set-germ at $0 \in ℝ^{n}$ such that $0 \in \bar{A}$ . We say that $r \in S^{n - 1}$ is a direction of $A$ at $0 \in ℝ^{n}$ if there is a sequence of points ${x_{i}} \subset A ∖ {0}$ tending to $0 \in ℝ^{n}$ such that $\frac{x_{i}}{∥ x_{i} ∥} \to r$ as $i \to \infty$ . Let $D (A)$ denote the set of all directions of $A$ at $0 \in ℝ^{n}$ .Let $A, B \subset ℝ^{n}$ be subanalytic set-germs at $0 \in ℝ^{n}$ such that $0 \in \bar{A} \cap \bar{B}$ . We study the problem of whether the dimension of the common direction set, $dim (D (A) \cap D (B))$ is preserved by bi-Lipschitz homeomorphisms. We show that although it is not true in general, it is preserved if the images of $A$ and $B$ are also subanalytic. In particular if two subanalytic...

The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives

Gopalakrishna Hejmadi Gadiyar, Ramanathan Padma (2018)

Czechoslovak Mathematical Journal

We connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.

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