Kategoria BISAC: Mathematics >> Geometry - Algebraic

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained work provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group.

Key topics and features:

* Systematic, clearly written exposition with ample references to current research

* Matroids are examined in terms of symmetric and finite reflection groups

* Finite reflection groups and Coxeter groups are developed from scratch

*...

The topics cover the broad range of mathematical areas which were of keen interest to Molino, namely, integral systems and more generally symplectic geometry and Poisson structures, foliations and Lie transverse structures, transitive structures, and classification problems.

"Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varieties namely singular loci. The main focus, therefore, is on the computations for the singular loci of Schubert varieties and corresponding tangent...

Systematically develops the theory of Frobenius splittings and covers all its major developments.

Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings--definitions, properties and examples--to cutting edge research.

Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields

Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives

Aimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections

This three-volume work contains articles collected on the occasion of Alexander Grothendieck s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category...

This three-volume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category...

This three-volume work contains articles collected on the occasion of Alexander Grothendieck s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category...

This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. The authors discuss irreducible plane curve singularities, openness and multitransversality, the distribution Afs and the real asymptotic spectrum, deformations of boundary singularities and non-crystallographic coxeter groups, transversal Whitney topology and singularities of Haefliger foliations,...