Results 21 to 30 of about 14,597,748 (196)

Affine quadrics and the Picard group of the motivic category [PDF]

Compositio Mathematica, 2018
In this paper we study the subgroup of the Picard group of Voevodsky’s category of geometric motives $\operatorname{DM}_{\text{gm}}(k;\mathbb{Z}/2)$ generated by the reduced motives of affine quadrics. Our main tools here are the functors of Bachmann [On
A. Vishik
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Rational Picard Group of Moduli of Pointed Hyperelliptic Curves [PDF]

International mathematics research notices, 2018
We determine the rational divisor class group of the moduli spaces of smooth pointed hyperelliptic curves and of their Deligne–Mumford compactification, over the field of complex numbers.
F. Scavia
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Picard group of moduli of curves of low genus in positive characteristic [PDF]

, 2018
We compute the Picard group of the moduli stack of smooth curves of genus g for $$3\le g\le 5$$ 3 ≤ g ≤ 5 , using methods of equivariant intersection theory.
A. Lorenzo
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Picard groups of normal surfaces [PDF]

Journal of Singularities, 2012
We study the fixed singularities imposed on members of a linear system of surfaces in P^3_C by its base locus Z. For a 1-dimensional subscheme Z \subset P^3 with finitely many points p_i of embedding dimension three and d >> 0, we determine the nature of the singularities p_i \in S for general S in |H^0 (P^3, I_Z (d))| and give a method to ...
Brevik, John, Nollet, Scott
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Picard group of dual categories [PDF]

Categories and General Algebraic Structures with Applications
We provide an explicit description of the Picard group (the group of isomorphism classes of invertible objects, those that have an inverse under the tensor product) of the dual category of the category of comodules over a supergroup algebra, by using the
Adriana Mejía Castaño
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Torus quotient of the Grassmannian $G_{n,2n}$

Comptes Rendus. Mathématique, 2023
Let $G_{n,2n}$ be the Grassmannian parameterizing the $n$-dimensional subspaces of $\mathbb{C}^{2n}$. The Picard group of $G_{n,2n}$ is generated by a unique ample line bundle $\mathcal{O}(1)$.
Nayek, Arpita, Saha, Pinakinath
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Analysis of a Picard modular group [PDF]

Proceedings of the National Academy of Sciences, 2006
Our main goal is to analyze the geometric and spectral properties of the Picard modular group with Gaussian integer entries acting on the two-dimensional complex hyperbolic space.
Francsics, Gábor, Lax, Peter D.
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Three natural subgroups of the Brauer-Picard group of a Hopf algebra with applications [PDF]

, 2017
In this article we construct three explicit natural subgroups of the Brauer-Picard group of the category of representations of a finite-dimensional Hopf algebra.
S. Lentner, J. Priel
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The Picard group of the universal moduli space of vector bundles on stable curves [PDF]

Advances in Mathematics, 2016
We construct the moduli stack of properly balanced vector bundles on semistable curves and we determine explicitly its Picard group. As a consequence, we obtain an explicit description of the Picard groups of the universal moduli stack of vector bundles ...
Roberto Fringuelli
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The Picard Group of the Universal Abelian Variety and the Franchetta Conjecture for Abelian Varieties [PDF]

The Michigan mathematical journal, 2016
We compute the Picard group of the universal abelian variety over the moduli stack $\mathscr A_{g,n}$ of principally polarized abelian varieties over $\mathbb{C}$ with a symplectic principal level $n$-structure.
Roberto Fringuelli, Roberto Pirisi
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