A note on the moduli spaces of holomorphic and logarithmic connections over a compact Riemann surface
From MaRDI portal
Publication:2674964
DOI10.1007/s10455-022-09864-yOpenAlexW3126580167WikidataQ114227708 ScholiaQ114227708MaRDI QIDQ2674964
Publication date: 19 September 2022
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.03524
Algebraic moduli problems, moduli of vector bundles (14D20) Sheaves of differential operators and their modules, (D)-modules (32C38) Rational and birational maps (14E05) (Equivariant) Chow groups and rings; motives (14C15) Rationality questions in algebraic geometry (14E08) Torelli problem (14C34)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cohomology of sheaves
- Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
- Torelli theorems for moduli of logarithmic connections and parabolic bundles
- Rationality of moduli of vector bundles on curves.
- Moduli space of rank one logarithmic connections over a compact Riemann surface
- The Torelli theorem for the moduli spaces of connections on a Riemann surface
- Deformations of the moduli space of vector bundles over an algebraic curve
- Openness of a family of torsion free sheaves
- Moduli of representations of the fundamental group of a smooth projective variety. I
- Criterion for logarithmic connections with prescribed residues
- Moduli of representations of the fundamental group of a smooth projective variety. II
- Polarisations on an abelian variety
- Moduli space of logarithmic connections singular over a finite subset of a compact Riemann surface
- Differential operators on Hitchin variety
- Chow group of 1-cycles on the moduli space of vector bundles of rank 2 over a curve
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- Moduli of vector bundles on a compact Riemann surface
- Théorie de Hodge. II. (Hodge theory. II)
- Théorie de Hodge. III
- Equations différentielles à points singuliers réguliers
- Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve
- Line bundles over a moduli space of logarithmic connections on a Riemann surface
- Généralisation des fonctions abéliennes
- Differential operators on a polarized abelian variety
- Complex Analytic Connections in Fibre Bundles
- The Cohomology Rings of Moduli Spaces of Bundles over Riemann Surfaces
- On the moduli space of $\tau$-connections on a compact Riemann surface
- The Yang-Mills equations over Riemann surfaces
- Families of rationally connected varieties
- Moduli of Semistable Logarithmic Connections
- A residue formula for Chern classes associated with logarithmic connections
This page was built for publication: A note on the moduli spaces of holomorphic and logarithmic connections over a compact Riemann surface