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Displaying 861 – 880 of 921

Around rationality of cycles

Raphaël Fino (2013)

Open Mathematics

We prove certain results comparing rationality of algebraic cycles over the function field of a quadric and over the base field. These results have already been obtained by Alexander Vishik in the case of characteristic 0, which allowed him to work with algebraic cobordism theory. Our proofs use the modulo 2 Steenrod operations in the Chow theory and work in any characteristic ≠ 2.

Around real Enriques surfaces.

Alexander Degtyarev, Vlatcheslav Kharlamov (1997)

Revista Matemática de la Universidad Complutense de Madrid

We present a brief overview of the classification of real Enriques surfaces completed recently and make an attempt to systemize the known classification results for other special types of surfaces. Emphasis is also given to the particular tools used and to the general phenomena discovered; in particular, we prove two new congruence type prohibitions on the Euler characteristic of the real part of a real algebraic surface.

Around the Gysin triangle. II.

Déglise, Frédéricke (2008)

Documenta Mathematica

Around the intersection form of an isolated singularity of hypersurface

D. Barlet, A. N. Varchenko (1988)

Compositio Mathematica

Arrangements d'hyperplans et sommes de Gauss

François Loeser (1991)

Annales scientifiques de l'École Normale Supérieure

Arrangements of lines and monodromy of plane curves

Mario Salvetti (1988)

Compositio Mathematica

Arrondissement des variétés à coins - Appendice à "Corners and Arithmetic Groups"

A. Douady, L. Hérault (1973)

Commentarii mathematici Helvetici

Artin Approximation and Formal Fibres of Local Rings.

Martin L. Brown (1983)

Mathematische Zeitschrift

Artin formalism and heat kernels.

Serge Lang, Jay Jorgenson (1994)

Journal für die reine und angewandte Mathematik

Artinian cofinite modules over complete Noetherian local rings

Behrouz Sadeghi, Kamal Bahmanpour, Jafar A'zami (2013)

Czechoslovak Mathematical Journal

Let $(R, 𝔪)$ be a complete Noetherian local ring, $I$ an ideal of $R$ and $M$ a nonzero Artinian $R$ -module. In this paper it is shown that if $𝔭$ is a prime ideal of $R$ such that $dim R / 𝔭 = 1$ and $(0 :_{M} 𝔭)$ is not finitely generated and for each $i \geq 2$ the $R$ -module ${Ext}_{R}^{i} (M, R / 𝔭)$ is of finite length, then the $R$ -module ${Ext}_{R}^{1} (M, R / 𝔭)$ is not of finite length. Using this result, it is shown that for all finitely generated $R$ -modules $N$ with $Supp (N) \subseteq V (I)$ and for all integers $i \geq 0$ , the $R$ -modules ${Ext}_{R}^{i} (N, M)$ are of finite length, if and only if, for all finitely generated $R$ -modules $N$ with $Supp (N) \subseteq V (I)$ and...

Artin-Large property for analytic manifolds of dimension two.

Ana Castilla (1994)

Mathematische Zeitschrift

Artin's Theorem on the Solutions of Analytic Equations in Positive Characteristic.

Michel André (1975)

Manuscripta mathematica

Artin-Schelter regular algebras of dimension five

Gunnar Fløystad, Jon Eivind Vatne (2011)

Banach Center Publications

We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.

Artin-Verdier duality for arithmetic surfaces.

Michael Spieß (1996)

Mathematische Annalen

ASD moduli spaces over four-manifolds with tree-like ends.

Kato, Tsuyoshi (2004)

Geometry & Topology

Associate forms, joins, multiplicities and an intrinsic elimination theory

Federico Gaeta (1990)

Banach Center Publications

Associated Curves and Plücker Formulas in Grassmannians.

Giuseppe Canuto (1979)

Inventiones mathematicae

Asymptotic behaviour of numerical invariants of algebraic varieties

F. L. Zak (2012)

Journal of the European Mathematical Society

We show that if the degree of a nonsingular projective variety is high enough, maximization of any of the most important numerical invariants, such as class, Betti number, and any of the Chern or middle Hodge numbers, leads to the same class of extremal varieties. Moreover, asymptotically (say, for varieties whose total Betti number is big enough) the ratio of any two of these invariants tends to a well-defined constant.

Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces

Shin-ichi Matsumura (2013)

Annales de l’institut Fourier

In this paper, we study relations between positivity of the curvature and the asymptotic behavior of the higher cohomology group for tensor powers of a holomorphic line bundle. The Andreotti-Grauert vanishing theorem asserts that partial positivity of the curvature implies asymptotic vanishing of certain higher cohomology groups. We investigate the converse implication of this theorem under various situations. For example, we consider the case where a line bundle is semi-ample or big. Moreover,...

Asymptotic estimates for rational points of bounded height on flag varieties

Jeffrey Lin Thunder (1993)

Compositio Mathematica

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