Results 1 to 10 of about 162,218 (329)

Lifting vector bundles to Witt vector bundles

Israel Journal of Mathematics, 2018
Let $p$ be a prime, and let $S$ be a scheme of characteristic $p$. Let $n \geq 2$ be an integer. Denote by $\mathbf{W}_n(S)$ the scheme of Witt vectors of length $n$, built out of $S$. The main objective of this paper concerns the question of extending (=
Arteche, Giancarlo Lucchini, De Clercq, Charles, Florence, Mathieu   +2 more
core   +2 more sources

Chern classes of automorphic vector bundles, II [PDF]

Épijournal de Géométrie Algébrique, 2019
We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
doaj   +3 more sources

Vector Bundles on the Moduli Stack of Elliptic Curves [PDF]

, 2015
We study vector bundles on the moduli stack of elliptic curves over a local ring R. If R is a field or a discrete valuation ring of (residue) characteristic not 2 or 3, all these vector bundles are sums of line bundles.
Bauer, Behrend, Behrens, Conrad, Deligne, Edidin, Ferrand, Fulton, Hartshorne, Hartshorne, Heller, Heller, Horrocks, Hübl, Katz, Lam, Laumon, Lennart Meier, Mac Lane, Mahdi, Meier, Moret-Bailly, Naumann, Olsson, Rezk, Serre, Silverman, Stojanoska, Tamme   +28 more
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Vector bundles of rank four and A_3 = D_3 [PDF]

, 2012
Over a scheme with 2 invertible, we show that a vector bundle of rank four has a sub or quotient line bundle if and only if the canonical symmetric bilinear form on its exterior square has a lagrangian subspace.
Asher Auel, Atiyah, Balmer, Balmer, Balmer, Balmer, Balmer, Bichsel, Bourbaki, Bruns, Calmès, Demazure, Demazure, Elman, Fasel, Fasel, Fasel, Fasel, Fulton, Gille, Grothendieck, Hartshorne, Hassett, Knebusch, Knus, Knus, Milne, Morel, Mumford, Parimala, Quebbemann, Quebbemann, Roy   +32 more
core   +2 more sources

Approximate and discrete Euclidean vector bundles

Forum of Mathematics, Sigma, 2023
We introduce $\varepsilon $ -approximate versions of the notion of a Euclidean vector bundle for $\varepsilon \geq 0$ , which recover the classical notion of a Euclidean vector bundle when $\varepsilon = 0$ .
Luis Scoccola, Jose A. Perea
doaj   +1 more source

On Ampleness of vector bundles

Comptes Rendus. Mathématique, 2021
In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on a smooth projective variety $X$.
Misra, Snehajit, Ray, Nabanita
doaj   +1 more source

Root bundles and towards exact matter spectra of F-theory MSSMs

Journal of High Energy Physics, 2021
Motivated by the appearance of fractional powers of line bundles in studies of vector-like spectra in 4d F-theory compactifications, we analyze the structure and origin of these bundles.
Martin Bies, Mirjam Cvetič, Ron Donagi, Muyang Liu, Marielle Ong   +4 more
doaj   +1 more source

Limits of the trivial bundle on a curve [PDF]

Épijournal de Géométrie Algébrique, 2018
We attempt to describe the rank 2 vector bundles on a curve C which are specializations of the trivial bundle. We get a complete classifications when C is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit vector bundles are ...
Arnaud Beauville
doaj   +1 more source

\'Etale triviality of finite equivariant vector bundles [PDF]

Épijournal de Géométrie Algébrique, 2021
Let H be a complex Lie group acting holomorphically on a complex analytic space X such that the restriction to X_{\mathrm{red}} of every H-invariant regular function on X is constant.
Indranil Biswas, Peter O'Sullivan
doaj   +1 more source

Fibonacci, Golden Ratio, and Vector Bundles

Mathematics, 2021
There is a family of vector bundles over the moduli space of stable curves that, while first appearing in theoretical physics, has been an active topic of study for algebraic geometers since the 1990s. By computing the rank of the exceptional Lie algebra
Noah Giansiracusa
doaj   +1 more source