687 citations
- Université de Bretagne OccidentaleFR58 papers
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- Centre National de la Recherche ScientifiqueFR29 papers
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- Laboratoire des Sciences et Techniques de l’Information de la Communication et de la ConnaissanceFR6 papers
- Université Rennes 2FR6 papers
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- Institut de recherche mathématique de RennesFR4 papers
- Institut National des Sciences Appliquées de RennesFR4 papers
5 papers · 1 filter
Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups
Rémi Delloque, Achim Napame, Carlo Scarpa +1
We introduce the notion of P-critical connections for hermitian holomorphic vector bundles over compact balanced manifolds: integrable hermitian connections whose curvature solves…
Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves
Rémi Delloque
In this short note, we provide a broad class of examples of stability conditions on the category of coherent sheaves which generalise Gieseker stability. We refer to them as "adapt…
Finiteness results for hyperbolic orbifold pairs
Laurine Weibel
Noguchi proved that the set of dominant maps from a fixed variety to a fixed hyperbolic variety is finite. We extend this result to the setting of orbifold pairs, as introduced by…
Simply connectedness and hyperbolicity
Erwan Rousseau, Carlo Gasbarri, Amos Turchet +1
We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and comple…
Generalized amoebas for subvarieties of
Rémi Delloque, Kiumars Kaveh
This paper is a report based on the results obtained during a three months internship at the University of Pittsburgh by the first author and under the mentorship of the second aut…