Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Pagaria, Roberto"'
We describe the cohomology ring of toric wonderful models for arbitrary building set, including the case of non well-connected ones. Our techniques are based on blowups of posets, on Gr\"obner basis over rings and admissible functions.
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Externí odkaz:
http://arxiv.org/abs/2410.03520
We give a Orlik-Solomon type presentation for the cohomology ring of arrangements in a non-compact abelian Lie group. The new insight consists in comparing arrangements in different abelian groups. Our work is based on the Varchenko-Gelfand ring for
Externí odkaz:
http://arxiv.org/abs/2404.05588
Publikováno v:
J. London Math. Soc., 109 (2024)
We call a poset factorable if its characteristic polynomial has all positive integer roots. Inspired by inductive and divisional freeness of a central hyperplane arrangement, we introduce and study the notion of inductive posets and their superclass
Externí odkaz:
http://arxiv.org/abs/2304.08145
We determine the summands of the decomposition theorem for the Hitchin system for $\mathrm{GL}_n$, in arbitrary degree, over the locus of reduced spectral curves. The key ingredient is an equivariant formula for lattice point counts in graphical zono
Externí odkaz:
http://arxiv.org/abs/2209.00621
Publikováno v:
Combinatorial Theory (2023), 3(2)
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular analogue of the square paths conjecture. In addition, we describe a set of combinatorial objects and one statistic that are a first step towards a rectan
Externí odkaz:
http://arxiv.org/abs/2206.00131
Autor:
Pagaria, Roberto
Publikováno v:
International Mathematics Research Notices 2022
We provide a new virtual description of the symmetric group action on the cohomology of ordered configuration space on SU_2 up to translations. We use this formula to prove the Moseley-Proudfoot-Young conjecture. As a consequence we obtain the graded
Externí odkaz:
http://arxiv.org/abs/2203.08265
Autor:
Pagaria, Roberto, Pezzoli, Gian Marco
Publikováno v:
International Mathematics Research Notices, 2023
We construct a Leray model for a discrete polymatroid with arbitrary building set and we prove a generalized Goresky-MacPherson formula. The first row of the model is the Chow ring of the polymatroid; we prove Poincar\'e duality, Hard Lefschetz, and
Externí odkaz:
http://arxiv.org/abs/2105.04214
Autor:
Pagaria, Roberto
Publikováno v:
European Journal of Mathematics volume 8, pages 427-445 (2022)
We construct a dga to computing the cohomology of ordered configuration spaces on an algebraic variety with vanishing Euler characteristic. It follows that the $k$-th Betti number of $Conf(C,n)$ ($C$ is an elliptic curve) grows as a polynomial of deg
Externí odkaz:
http://arxiv.org/abs/2005.02106
Autor:
Moci, Luca, Pagaria, Roberto
Publikováno v:
J. London Math. Soc., 106: 1999-2029 (2022)
Given an arrangement of subtori of arbitrary codimension in a torus, we compute the cohomology groups of the complement. Then, using the Leray spectral sequence, we describe the multiplicative structure on the graded cohomology. We also provide a dif
Externí odkaz:
http://arxiv.org/abs/2001.05180
Autor:
Delucchi, Emanuele, Pagaria, Roberto
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 2037-2063
We give combinatorial models for the homotopy type of complements of elliptic arrangements (i.e., certain sets of abelian subvarieties in a product of elliptic curves). We give a presentation of the fundamental group of such spaces and, as an applica
Externí odkaz:
http://arxiv.org/abs/1911.02905