Ulrich bundles on quartic surfaces with Picard number 1

Download

index.pdf

Date

2013-03-01

Author

Coşkun, Emre

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

249
views

77
downloads

In this note, we prove that there exist stable Ulrich bundles of every even rank on a smooth quartic surface X subset of P-3 with Picard number 1. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/40957

Journal

COMPTES RENDUS MATHEMATIQUE

DOI

https://doi.org/10.1016/j.crma.2013.04.005

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On a Fitting length conjecture without the coprimeness condition Ercan, Gülin (Springer Science and Business Media LLC, 2012-08-01) Let A be a finite nilpotent group acting fixed point freely by automorphisms on the finite solvable group G. It is conjectured that the Fitting length of G is bounded by the number of primes dividing the order of A, counted with multiplicities. The main result of this paper shows that the conjecture is true in the case where A is cyclic of order p (n) q, for prime numbers p and q coprime to 6 and G has abelian Sylow 2-subgroups.
Operators commuting with mixing sequences Ha, MD (Duke University Press; 1999-09-01) Let (X, F, mu) be a probability space and let L-2(X, 0) be the collection of all f is an element of L-2(X) with zero integrals. A collection A of linear operators on L-2(X) is said to satisfy the Gaussian-distribution property (G.D.P.) if L-2(X, 0) is invariant under A and there exists a constant C < infinity such that the following condition holds:
THE CLASS OF (2,2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT p(3) HAS BOUNDED REPRESENTATION TYPE Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (Cambridge University Press (CUP), 2015-08-01) The class of almost completely decomposable groups with a critical typeset of type (2,2) and a homocyclic regulator quotient of exponent p(3) is shown to be of bounded representation type. There are only 16 isomorphism at p types of indecomposables, all of rank 8 or lower.
Lefschetz Fibrations and an Invariant of Finitely Presented Groups Korkmaz, Mustafa (Oxford University Press (OUP), 2009-01-01) Every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. This follows from results of Gompf and Donaldson, and was also proved by Amoros-Bogomolov-Katzarkov-Pantev. We give another proof by providing the monodromy explicitly. We then define the genus of a finitely presented group Gamma to be the minimal genus of a Lefschetz fibration with fundamental group Gamma. We also give some estimates of the genus of certain groups.
Orders of elements of equivariant J-groups of complex projective spaces Onder, T (Elsevier BV, 2002-06-17) A computable formula for the equivariant J-orders of the elements of JO(G)(CPn) is given for all finite groups G which do not have quaternionic type irreducible representations.

Citation Formats

E. Coşkun, “Ulrich bundles on quartic surfaces with Picard number 1,” COMPTES RENDUS MATHEMATIQUE, pp. 221–224, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40957.