107 citations
- Centre National de la Recherche ScientifiqueFR120 papers
- Université Savoie Mont BlancFR82 papers
- Le LAMAFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR30 papers
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12 papers · 1 filter
Categorification of the localized intersection product and Bloch conductor formula
Dario Beraldo, Massimo Pippi
We categorify the localized intersection product on arithmetic schemes defined by Kato--Saito in \cite{katosaito04}. As an application, we prove a generalization of Bloch conductor…
Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT
Xavier Blot, Paolo Rossi, Adrien Sauvaget
In [arXiv:2408.13806], two families of classical and quantum integrable hierarchies associated to arbitrary Cohomological Field Theories (CohFTs) were introduced: the meromorphic d…
An Algorithm to compute the Kronecker cone and other moment cones
Michaël Bulois, Roland Denis, Nicolas Ressayre
We describe a new algorithm that computes the minimal list of inequalities for the moment cone of any representation of a complex reductive group, with implementation details for t…
Proof of the Deligne-Milnor conjecture
Dario Beraldo, Massimo Pippi
We apply methods of derived and non-commutative algebraic geometry to understand ramification phenomena on arithmetic schemes. As an application, we prove the Deligne-Milnor conjec…
Abelian surfaces over finite fields containing no curves of genus or less
Elena Berardini, Alejandro Giangreco Maidana, Stefano Marseglia
We study abelian surfaces defined over finite fields which do not contain any possibly singular curve of genus less than or equal to . Firstly, we complete and expand the charac…
A flat perspective on moduli spaces of hyperbolic surfaces
Adrien Sauvaget
Volumes of moduli spaces of hyperbolic cone surfaces were previously defined and computed when the angles of the cone singularities are at most 2pi. We propose a general definition…