Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ [PDF]
Épijournal de Géométrie Algébrique, 2020 We classify all smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ and we give a first description of their geometry via the Log Minimal Model Program.
Boris Pasquier
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The Picard group of the universal moduli stack of principal bundles on pointed smooth curves [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2020 For any smooth connected linear algebraic group G$G$ over an algebraically closed field k$k$ , we describe the Picard group of the universal moduli stack of principal G$G$ ‐bundles over pointed smooth k$k$ ‐projective curves.
Roberto Fringuelli, Filippo Viviani
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The Picard group in equivariant homotopy theory via stable module categories [PDF]
Journal of Topology, 2020 We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$ ‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
A. Krause
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On the GAGA principle for algebraic affine hypersurfaces
Comptes Rendus. Mathématique, 2022 For any complete $\mathbb{C}$-algebraic variety Y and its underlying compact $\mathbb{C}$-analytic space $\mathcal{Y}$, it follows from the well known GAGA principle that the algebraic Picard group $Pic(Y)$ and the analytic Picard group $\mathbb{P}\!ic ...
Tan, Vo Van
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The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces [PDF]
Épijournal de Géométrie Algébrique, 2020 We introduce and study the maximal unipotent finite quotient for algebraic group schemes in positive characteristics. Applied to Picard schemes, this quotient encodes unusual torsion.
Andrea Fanelli, Stefan Schröer
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The logarithmic Picard group and its tropicalization [PDF]
Compositio Mathematica, 2018 We construct the logarithmic and tropical Picard groups of a family of logarithmic curves and realize the latter as the quotient of the former by the algebraic Jacobian.
S. Molcho, Jonathan Wise
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Finite torsors over strongly $F$-regular singularities [PDF]
Épijournal de Géométrie Algébrique, 2022 We investigate finite torsors over big opens of spectra of strongly $F$-regular germs that do not extend to torsors over the whole spectrum. Let $(R,\mathfrak{m},k)$ be a strongly $F$-regular $k$-germ where $k$ is an algebraically closed field of ...
Javier Carvajal-Rojas
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An idelic quotient related to Weil reciprocity and the Picard group [PDF]
Collectanea Mathematica, 2019 This paper studies the function field of an algebraic curve over an arbitrary perfect field by using the Weil reciprocity law and topologies on the adele ring.
J. Muñoz Porras +3 more
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The Picard group of the moduli of smooth complete intersections of two quadrics [PDF]
Transactions of the American Mathematical Society, 2017 We study the moduli space of smooth complete intersections of two quadrics in $\mathbb{P}^n$ by relating it to the geometry of the singular members of the corresponding pencils.
Shamil Asgarli, Giovanni Inchiostro
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Moduli space of rank one logarithmic connections over a compact Riemann surface
Comptes Rendus. Mathématique, 2020 Let $\mathcal{M}_X$ denote the moduli space of rank one logarithmic connections singular over a finite subset $S$ of a compact Riemann surface $X$ with fixed residues. We study the rational functions into $\mathcal{M}_X$. We prove that there is a natural
Singh, Anoop
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