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Displaying 441 – 460 of 915

The Mumford conjecture

Geoffrey Powell (2004/2005)

Séminaire Bourbaki

The Mumford Conjecture asserts that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra on the Mumford-Morita-Miller characteristic classes; this can be reformulated in terms of the classifying space $B Γ_{\infty}$ derived from the mapping class groups. The conjecture admits a topological generalization, inspired by Tillmann’s theorem that $B Γ_{\infty}$ admits an infinite loop space structure after applying Quillen’s plus construction. The text presents the proof by Madsen and...

The Mumford-Tate group of 1-motives

Cristiana Bertolin (2002)

Annales de l’institut Fourier

In this paper we study the structure and the degeneracies of the Mumford-Tate group $M T (M)$ of a 1-motive $M$ defined over $ℂ$ . This group is an algebraic $ℚ$ - group acting on the Hodge realization of $M$ and endowed with an increasing filtration $W_{•}$ . We prove that the unipotent radical of $M T (M)$ , which is $W_{- 1} (M T (M))$ , injects into a “generalized” Heisenberg group. We then explain how to reduce to the study of the Mumford-Tate group of a direct sum of 1-motives whose torus’character group and whose lattice are both of rank 1....

The Nash conjecture for threefolds.

Kollár, János (1998)

Electronic Research Announcements of the American Mathematical Society [electronic only]

The Nash problem of arcs and the rational double points $D_{n}$

Camille Plénat (2008)

Annales de l’institut Fourier

This paper deals with the Nash problem, which consists in comparing the number of families of arcs on a singular germ of surface $U$ with the number of essential components of the exceptional divisor in the minimal resolution of this singularity. We prove their equality in the case of the rational double points $D_{n}$ ( $n \geq 4$ ).

The Néron Fiber of Abelian Varieties with Potential Good Reduction.

Joseph H. Silverman (1983)

Mathematische Annalen

The Neron model for families of intermediate jacobians acquiring “algebraic” singularities

Herbert Clemens (1983)

Publications Mathématiques de l'IHÉS

The Néron-Severi group and the mixed Hodge structure on H2.

V. Srinivas, L. Barbieri Viale (1994)

Journal für die reine und angewandte Mathematik

The Neuberg cubic in locus problems.

Čerin, Zvonko (2000)

Mathematica Pannonica

The nil Hecke ring and singularity of Schubert varieties.

Shrawan Kumar (1996)

Inventiones mathematicae

The Noether-Lefschetz theorem and sums of 4 squares in the rational function field $R (x, y)$

J.-L. Colliot-Thélène (1993)

Compositio Mathematica

The non rationality of the generic Enriques' threefold

Luciana Picco Botta, Alessandro Verra (1983)

Compositio Mathematica

The non-existence of a smooth sectionally non-special surface of degree 11 and sectional genus 8 in the projective fourspace.

E. Mezzetti, K. Ranestad (1991)

Manuscripta mathematica

The nonreduced order spectrum of a commutative ring.

James McEnerney, Gilbert Stengle (1997)

Revista Matemática de la Universidad Complutense de Madrid

The Normal Bundle of a Curve on a Quadric.

Klaus Hulek (1981)

Mathematische Annalen

The normality of closures of conjugacy classes of matrices.

Stephen Donkin (1990)

Inventiones mathematicae

The normality of closures of orbits in a Lie algebra.

Wim Hesselink (1979)

Commentarii mathematici Helvetici

The Normalizer of the level (2,2)-Heisenberg Group.

Isidro Nieto (1992)

Manuscripta mathematica

The Nullstellensatz for real coherent analytic surfaces.

F. Broglia, F. Pieroni (2009)

Revista Matemática Iberoamericana

The number of conics tangent to five given conics: the real case.

Felice Ronga, Alberto Tognoli, Thierry Vust (1997)

Revista Matemática de la Universidad Complutense de Madrid

It is a classical result, first established by de Jonquières (1859), that generically the number of conics tangent to 5 given conics in the complex projective plane is 3264. We show here the existence of configurations of 5 real conics such that the number of real conics tangent to them is 3264.

The number of conjugacy classes of elements of the Cremona group of some given finite order

Jérémy Blanc (2007)

Bulletin de la Société Mathématique de France

This note presents the study of the conjugacy classes of elements of some given finite order $n$ in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if $n$ is even, $n = 3$ or $n = 5$ , and that it is equal to $3$ (respectively $9$ ) if $n = 9$ (respectively if $n = 15$ ) and to $1$ for all remaining odd orders. Some precise representative elements of the classes are given.

Currently displaying 441 – 460 of 915

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