Ulrich bundles on quartic surfaces with Picard number 1

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.


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:
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.