3 edition of **De Concini-Procesi models of arrangements and symmetric group actions** found in the catalog.

- 381 Want to read
- 36 Currently reading

Published
**May 1, 2007**
by Edizioni della Normale
.

Written in English

- Mathematical Physics,
- Science / Mathematical Physics,
- moduli space,
- subspace arrangements,
- Science

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 108 |

ID Numbers | |

Open Library | OL13432306M |

ISBN 10 | 8876422897 |

ISBN 10 | 9788876422898 |

De Concini Procesi models of arrangements and symmetric group actions, pubblicato nella collana Tesi di Perfezionamento della Scuola Normale Superiore di Pisa, Dicembre 5) Giovanni Gaiffi Compactification of Configuration Spaces, in ``Seminari di Geometria Algebrica '', pubblicazione della Scuola Normale Superiore di Pisa, Cite this chapter as: () The DeConcini-Procesi Compactification of a Complex Symmetric Space and Its Real Points. In: Compactifications of Symmetric and Locally Symmetric Spaces.

De Concini-Procesi models of arrangements and symmetric group actions (Publications of the Scuola Normale Superiore by Giovanni Gaiffi (Oct 1, ) Concini marechal d'ancre, les grandes vies aventureuses by Henri D'almeras () Global Geometry & Mathematical Physics by Alvarez-Gaume, L., Arbarello, E., De Concini, C., Hitchin, N. (Springer. De Concini-Procesi models of arrangements and symmetric group In this thesis we deal with the models of subspace arrangements introduced by De Concini and Procesi. In particular we study their integer cohomology rings, which are torsion free Z-modules of which we find Z-bases.

Configuration spaces and representations of the symmetric group-Orlik solomon algebras -action of the symmetric group on the cohomology of the complement of the braid arrangement - compactifications of complements of arrangements (in particular De Concini- Procesi models) - action of the symmetric group on the cohomology of the models of the. Abstract: This expository article outlines the construction of De Concini-Procesi arrangement models and describes recent progress in understanding their significance from the algebraic, geometric, and combinatorial point of view. Throughout the exposition, a strong emphasis is given to combinatorial and discrete geometric data that lies at the core of the construction.

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De Concini-Procesi models of arrangements and symmetric group actions. Authors: Gaiffi, We deal with the action of the symmetric group on the cohomology rings: we give explicit formulas for the associated generalized Poincaré series, and provide recursive formulas for the characters.

*immediately available upon purchase as print book Brand: Edizioni Della Normale. 0,n is isomorphic to a particular De Concini - Procesi model of the braid arrangement. In these cases, we deal with the action of the symmetric group on the cohomology rings: we give explicit formulas for the associated generalized Poincar`e series, and provide recursive formulas for the characters.

We also extend part of our results to. De Concini-Procesi wonderful models for (local) subspace arrangements and a careful analysis of linear actions on real vector spaces are at the core of our construction.

@MISC{Gaiffi99concini-procesimodels, author = {Giovanni Gaiffi}, title = {Concini-Procesi models of arrangements and symmetric group actions }, year = {}} Share.

OpenURL. symmetric group action scuola normale superiore di concini-procesi model collana tesi di perfezionamento Powered by. De Concini Procesi models of arrangements and symmetric group actions.

By GAIFFI G. Publisher: Edizioni della Normale. Year: OAI identifier: oai: Provided by: Archivio della Ricerca - Università di Pisa. Download Author: GAIFFI G.

Gaiffi, G. De Concini -Procesi models of arrangements and symmetric group actions. Collana Tesi di Perfezionamento, Scuola Normale Superiore (). Symmetric group actions on the cohomology of. G. Gaiffi, De Concini Procesi models of arrangements and symmetric group actions.

Tesi di Perfezionamento della Scuola Normale Superiore di Pisa () Google Scholar Abstract. The toric variety corresponding to the Coxeter fan of type A can also be described as a De Concini-Procesi wonderful model.

Using a general result of Rains which relates cohomology of real De Concini-Procesi models to poset homology, we give formulas for the Betti numbers of the real toric variety, and the symmetric group representations on the rational cohomologies. Abstract.

We present an abelianization of the permutation action of the symmetric group S n on ℝ n in analogy to the Batyrev abelianization construction for finite group actions on complex manifolds. The abelianization is provided by a particular De Concini-Procesi wonderful model for the braid arrangement.

In this paper we recall the construction of the De Concini–Procesi wonderful models of the braid arrangement: these models, in the case of the braid arrangement of type A n−1, are equipped. Let be the complexified Coxeter arrangement of hyperplanes of type A n −1 (n≥ 3).

It is well known that the “minimal” projective De Concini–Procesi model of is isomorphic to the moduli space of stable n plus;1-pointed curves of genus 0. In this paper we study, from the point of view of models of arrangements, the action of the symmetric group Σ n on the integer cohomology ring of.

De Concini-Procesi wonderful models for (local) subspace arrangements and a careful analysis of linear actions on real vector spaces are at the core of our construction.

In fact, we show that our abelianizations have stabilizers isomorphic to elementary abelian 2-groups, a setting for which we suggest the term digitalization.

De Concini-Procesi wonderful models for (local) subspace arrangements and a careful analysis of linear actions on real vector spaces are at the core of our construction. In fact, we show that our abelianizations have stabilizers isomorphic to elementary abelian 2-groups, a setting for which we suggest the term digitalization.

adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. Abstract: We present an abelianization of the permutation action of the symmetric group S_n on R^n in analogy to the Batyrev abelianization construction for finite group actions on complex manifolds.

The abelianization is provided by a particular De Concini-Procesi wonderful model for the braid arrangement. In fact, we show a stronger result, namely that stabilizers of points in the. action, we present another hidden extended action of the symmetric group on the minimal models of a braid arrangement as described in [3].

Thanks to the combinatorial remark proven in [29], the symmetric group S n+k acts by permutation on the set of k codimensional strata of the minimal model of type A n 1.

This happens at a purely. Even if this happens at a purely combinatorial level, it gives rise to an interesting permutation action on the elements of a basis of the integer cohomology. Subjects: Algebraic Topology () ; Combinatorics (); Representation Theory ().

Corrado De Concini, Giovanni Gaiffi, Cohomology rings of compactifications of toric arrangements arXiv Corrado De Concini, Giovanni Gaiffi, Projective Wonderful Models for Toric Arrangements In press Advances in Mathematics.

arXiv C. De Concini, C. Procesi, The Invariant Theory of Matrices University Lecture Series, American Mathematical Society, Volume: 69.

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We present an abelianization of the permutation action of the symmetric group S_n on R^n in analogy to the Batyrev abelianization construction for finite group actions on complex manifolds.

The abelianization is provided by a particular De Concini-Procesi wonderful model for the braid arrangement. In the case where the local system is equivariant for the symmetric group, we write the cohomology groups as direct sums of inductions of one-dimensional characters of subgroups.

This relies on an equivariant description of the Orlik-Solomon algebras of full monomial reflection groups (wreath products of the symmetric group with a cyclic group). In this section we will recall the basic facts about De Concini–Procesi models of subspace arrangements, introduced in the seminal papers.

Building sets and nested sets. Let V be a finite dimensional vector space over a field K and let G be a finite set of subspaces of the dual space V ∗. We denote by C G its closure under the sum.Abstract.

The De Concini-Procesi wonderful models of the braid arrangement of type An-1 are equipped with a natural Sn action, but only the minimal model admits an "hidden" symmetry, that is, an action of Sn+1 that comes from its moduli space interpretation.