Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces write by Cristian Anghel. This book was released on 2018-05-29. Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces available in PDF, EPUB and Kindle. The authors provide a complete classification of globally generated vector bundles with first Chern class $c_1 \leq 5$ one the projective plane and with $c_1 \leq 4$ on the projective $n$-space for $n \geq 3$. This reproves and extends, in a systematic manner, previous results obtained for $c_1 \leq 2$ by Sierra and Ugaglia [J. Pure Appl. Algebra 213 (2009), 2141-2146], and for $c_1 = 3$ by Anghel and Manolache [Math. Nachr. 286 (2013), 1407-1423] and, independently, by Sierra and Ugaglia [J. Pure Appl. Algebra 218 (2014), 174-180]. It turns out that the case $c_1 = 4$ is much more involved than the previous cases, especially on the projective 3-space. Among the bundles appearing in our classification one can find the Sasakura rank 3 vector bundle on the projective 4-space (conveniently twisted). The authors also propose a conjecture concerning the classification of globally generated vector bundles with $c_1 \leq n - 1$ on the projective $n$-space. They verify the conjecture for $n \leq 5$.
Flat Rank Two Vector Bundles on Genus Two Curves
Flat Rank Two Vector Bundles on Genus Two Curves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Flat Rank Two Vector Bundles on Genus Two Curves write by Viktoria Heu. This book was released on 2019-06-10. Flat Rank Two Vector Bundles on Genus Two Curves available in PDF, EPUB and Kindle. The authors study the moduli space of trace-free irreducible rank 2 connections over a curve of genus 2 and the forgetful map towards the moduli space of underlying vector bundles (including unstable bundles), for which they compute a natural Lagrangian rational section. As a particularity of the genus case, connections as above are invariant under the hyperelliptic involution: they descend as rank logarithmic connections over the Riemann sphere. The authors establish explicit links between the well-known moduli space of the underlying parabolic bundles with the classical approaches by Narasimhan-Ramanan, Tyurin and Bertram. This allows the authors to explain a certain number of geometric phenomena in the considered moduli spaces such as the classical -configuration of the Kummer surface. The authors also recover a Poincaré family due to Bolognesi on a degree 2 cover of the Narasimhan-Ramanan moduli space. They explicitly compute the Hitchin integrable system on the moduli space of Higgs bundles and compare the Hitchin Hamiltonians with those found by van Geemen-Previato. They explicitly describe the isomonodromic foliation in the moduli space of vector bundles with -connection over curves of genus 2 and prove the transversality of the induced flow with the locus of unstable bundles.
Vector Bundles on Complex Projective Spaces
Vector Bundles on Complex Projective Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Vector Bundles on Complex Projective Spaces write by Christian Okonek. This book was released on 1980. Vector Bundles on Complex Projective Spaces available in PDF, EPUB and Kindle.
Covering Dimension of C*-Algebras and 2-Coloured Classification
Covering Dimension of C*-Algebras and 2-Coloured Classification - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Covering Dimension of C*-Algebras and 2-Coloured Classification write by Joan Bosa. This book was released on 2019-02-21. Covering Dimension of C*-Algebras and 2-Coloured Classification available in PDF, EPUB and Kindle. The authors introduce the concept of finitely coloured equivalence for unital -homomorphisms between -algebras, for which unitary equivalence is the -coloured case. They use this notion to classify -homomorphisms from separable, unital, nuclear -algebras into ultrapowers of simple, unital, nuclear, -stable -algebras with compact extremal trace space up to -coloured equivalence by their behaviour on traces; this is based on a -coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, -stable -algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a “homotopy equivalence implies isomorphism” result for large classes of -algebras with finite nuclear dimension.
Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane
Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane write by William Goldman. This book was released on 2019-06-10. Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane available in PDF, EPUB and Kindle. The automorphisms of a two-generator free group F acting on the space of orientation-preserving isometric actions of F on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not an orientation on that plane is an invariant subsystem, which reduces to an action of a group on by polynomial automorphisms preserving the cubic polynomial and an area form on the level surfaces .
