Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Gaiffi, Giovanni"'
This paper presents a bridge between the theories of wonderful models associated with toric arrangements and wonderful models associated with hyperplane arrangements. In a previous work, the same authors noticed that the model of the toric arrangemen
Externí odkaz:
http://arxiv.org/abs/2407.04375
In this paper we find monomial bases for the integer cohomology rings of compact wonderful models of toric arrangements. In the description of the monomials various combinatorial objects come into play: building sets, nested sets, and the fan of a su
Externí odkaz:
http://arxiv.org/abs/2205.00443
Autor:
De Concini, Corrado, Gaiffi, Giovanni
We show that the rational homotopy type of the complement of a toric arrangement is completely determined by two sets of combinatorial data. This is obtained by introducing a differential graded algebra over Q whose minimal model is equivalent to the
Externí odkaz:
http://arxiv.org/abs/2007.02118
Autor:
Gaiffi, Giovanni, Siconolfi, Viola
For any triple given by a positive integer n, a finite group G, and a faithful representation V of G, one can describe a subspace arrangement whose intersection lattice is a generalized Dowling lattice in the sense of Hanlon. In this paper we constru
Externí odkaz:
http://arxiv.org/abs/1811.01058
Autor:
De Concini, Corrado, Gaiffi, Giovanni
Publikováno v:
Algebr. Geom. Topol. 19 (2019) 503-532
Some projective wonderful models for the complement of a toric arrangement in a n-dimensional algebraic torus T were constructed in [3]. In this paper we describe their integer cohomology rings by generators and relations.
Comment: A new section
Comment: A new section
Externí odkaz:
http://arxiv.org/abs/1801.04383
Autor:
De Concini, Corrado, Gaiffi, Giovanni
In this paper we illustrate an algorithmic procedure which allows to build projective wonderful models for the complement of a toric arrangement in a n-dimensional algebraic torus T. The main step of the construction is a combinatorial algorithm that
Externí odkaz:
http://arxiv.org/abs/1608.08746
An important piece of information in the theory of the arithmetic Galois action on the geometric fundamental groups of schemes is that divisorial inertia is acted on cyclotomically. We detail in this note the content of this fact in the case of the p
Externí odkaz:
http://arxiv.org/abs/1507.07208
Autor:
Gaiffi, Giovanni
In this paper we find some exponential formulas for the Betti numbers of the De Concini-Procesi minimal wonderful models Y_{G(r,p,n)} associated to the complex reflection groups G(r,p,n). Our formulas are different from the ones already known in the
Externí odkaz:
http://arxiv.org/abs/1507.02090
Autor:
Callegaro, Filippo, Gaiffi, Giovanni
The De Concini-Procesi wonderful models of the braid arrangement of type $A_{n-1}$ are equipped with a natural $S_n$ action, but only the minimal model admits an `hidden' symmetry, i.e. an action of $S_{n+1}$ that comes from its moduli space interpre
Externí odkaz:
http://arxiv.org/abs/1406.1304
Autor:
Gaiffi, Giovanni
In this paper we show a a proof by explicit bijections of the famous Kirkman-Cayley formula for the number of dissections of a convex polygon. Our starting point is the bijective correspondence between the set of nested sets made by \(k\) subsets of
Externí odkaz:
http://arxiv.org/abs/1404.3395