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Université de Fribourg

Orlik-Solomon type presentations for the cohomology algebra of toric arrangements

Callegaro, Filippo ; D’Adderio, Michele ; Delucchi, Emanuele ; Migliorini, Luca ; Pagaria, Roberto

In: Transactions of the American Mathematical Society, 2019, vol. 373, no. 3, p. 1909–1940

We give an explicit presentation for the integral cohomology ring of the complement of any arrangement of level sets of characters in a complex torus (alias ``toric arrangement''). Our description parallels the one given by Orlik and Solomon for arrangements of hyperplanes and builds on De Concini and Procesi's work on the rational cohomology of unimodular toric arrangements. As a byproduct...

Consortium of Swiss Academic Libraries

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Fageot, Julien ; Amini, Arash ; Unser, Michael

In: Journal of Fourier Analysis and Applications, 2014, vol. 20, no. 6, p. 1179-1211

Consortium of Swiss Academic Libraries

Sparse tensor edge elements

Hiptmair, Ralf ; Jerez-Hanckes, Carlos ; Schwab, Christoph

In: BIT Numerical Mathematics, 2013, vol. 53, no. 4, p. 925-939