Results 141 to 150 of about 344 (154)

The integer cohomology algebra of toric arrangements [PDF]

Advances in Mathematics, 2017
We compute the cohomology ring of the complement of a toric arrangement with integer coefficients and investigate its dependency from the arrangement's combinatorial data. To this end, we study a morphism of spectral sequences associated to certain combinatorially defined subcomplexes of the toric Salvetti category in the complexified case, and use a ...
Filippo Callegaro, Emanuele Delucchi
exaly   +5 more sources

Combinatorial generators for the cohomology of toric arrangements

Topology and Its Applications
We give a new combinatorial description of the cohomology ring structure of $H^*(M(\mathcal{A});\mathbb{Z})$ of the complement $M(\mathcal{A})$ of a real complexified toric arrangement $\mathcal{A}$ in $(\mathbb{C}^*)^d$. In particular, we correct an error in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., 2017.
Emanuele Delucchi, Filippo Callegaro
exaly   +6 more sources

Geometric structures on the complement of a toric mirror arrangement [PDF]

Mathematische Zeitschrift, 2021
We study geometric structures on the complement of a toric mirror arrangement associated with a root system. Inspired by those special hypergeometric functions found by Heckman-Opdam, as well as the work of Couwenberg-Heckman-Looijenga on geometric structures on projective arrangement complements, we consider a family of connections on a total space ...
Dali Shen
exaly   +4 more sources

Asymptotic cohomological functions of toric divisors

Advances in Mathematics, 2006
We study functions on the class group of a toric variety measuring the rates of growth of the cohomology groups of multiples of divisors. We show that these functions are piecewise polynomial with respect to finite polyhedral chamber decompositions.
Sheila Payne
exaly   +2 more sources

Cohomology of Toric Arrangements

2010
In this chapter we compute the cohomology, with complex coefficients, of the complement of a toric arrangement. A different approach is due to Looijenga [74].
Corrado De Concini, Claudio Procesi
openaire   +1 more source

Toric Arrangements

2010
Corrado De Concini, Claudio Procesi
openaire   +1 more source

Toric reduction and a conjecture of Batyrev and Materov

Inventiones Mathematicae, 2004
András Szenes, Vergne Michele
exaly  

Degenerations of toric ideals and toric varieties

Journal of Mathematical Analysis and Applications, 2012
Chun-Gang Zhu
exaly  

Toric dynamical systems

Journal of Symbolic Computation, 2009
Gheorghe Crăciun, Alicia Dickenstein, Anne Shiu   +2 more
exaly  

Toric Kempf-Ness sets

Proceedings of the Steklov Institute of Mathematics, 2009
T E Panov
exaly