Given an arrangement of subtori of arbitrary codimension in a complex torus, we compute the cohomology groups of the complement. Then, by using the Leray spectral sequence, we describe the multiplicative structure on the associated graded cohomology. We also provide a differential model for the cohomology ring, by considering a toric wonderful model and its Morgan algebra. Finally, we focus on the divisorial case, proving a new presentation for the cohomology of toric arrangements
Drawing parallels with the theory of hyperplane arrangements, we develop the theory of arrangements ...
In this paper we build an Orlik–Solomon model for the canonical gradation of the cohomology algebra ...
We give an explicit presentation for the integral cohomology ring of the complement of any arrangeme...
Given an arrangement of subtori of arbitrary codimension in a complex torus, we compute the cohomolo...
We previously (Adv. Math. 327 (2018) 390–409) constructed some projective wonderful models for the c...
We compute the cohomology ring of the complement of a toric arrangement with integer coefficients a...
We give an explicit presentation for the integral cohomology ring of the complement of any arrangeme...
This Ph.D. thesis presents my results obtained in the last three years. These results have appeared ...
The dissertation uses a number of mathematical formula including de Rham cohomology with complex coe...
AbstractA toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface ...
This paper is divided into two parts. The first part is a brief survey, accompanied by concrete exam...
This thesis addresses some fundamental questions on the topology of toric arrangement complements. W...
We develop an algorithm for computing the cohomology of complements of toric arrangements. In the ca...
In this paper we illustrate an algorithmic procedure which allows to build projective wonderful mode...
Drawing parallels with the theory of hyperplane arrangements, we develop the theory of arrangements ...
In this paper we build an Orlik–Solomon model for the canonical gradation of the cohomology algebra ...
We give an explicit presentation for the integral cohomology ring of the complement of any arrangeme...
Given an arrangement of subtori of arbitrary codimension in a complex torus, we compute the cohomolo...
We previously (Adv. Math. 327 (2018) 390–409) constructed some projective wonderful models for the c...
We compute the cohomology ring of the complement of a toric arrangement with integer coefficients a...
We give an explicit presentation for the integral cohomology ring of the complement of any arrangeme...
This Ph.D. thesis presents my results obtained in the last three years. These results have appeared ...
The dissertation uses a number of mathematical formula including de Rham cohomology with complex coe...
AbstractA toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface ...
This paper is divided into two parts. The first part is a brief survey, accompanied by concrete exam...
This thesis addresses some fundamental questions on the topology of toric arrangement complements. W...
We develop an algorithm for computing the cohomology of complements of toric arrangements. In the ca...
In this paper we illustrate an algorithmic procedure which allows to build projective wonderful mode...
Drawing parallels with the theory of hyperplane arrangements, we develop the theory of arrangements ...
In this paper we build an Orlik–Solomon model for the canonical gradation of the cohomology algebra ...
We give an explicit presentation for the integral cohomology ring of the complement of any arrangeme...
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