We prove that every Ulrich bundle on the Veronese surface has a resolution in terms of twists of the trivial bundle over P-2. Using this classification, we prove existence results for stable Ulrich bundles over P-k with respect to an arbitrary polarization dH.


Generating the surface mapping class group by two elements
Korkmaz, Mustafa (American Mathematical Society (AMS), 2005-01-01)
Wajnryb proved in 1996 that the mapping class group of an orientable surface is generated by two elements. We prove that one of these generators can be taken as a Dehn twist. We also prove that the extended mapping class group is generated by two elements, again one of which is a Dehn twist. Another result we prove is that the mapping class groups are also generated by two elements of finite order.
Ulrich bundles on quartic surfaces with Picard number 1
Coşkun, Emre (Elsevier BV, 2013-03-01)
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 quasi-compact Markov nets
Bartoszek, Wojciech; Erkursun, Nazife (Cambridge University Press (CUP), 2011-08-01)
We extend a theorem of Lotz, which says that any Markov operator T acting on C(X) such that T* is mean ergodic and all invariant measures have non-meager supports must be quasi-compact, to Lotz-Rabiger nets.
A new construction of 6-manifolds
Beyaz, Ahmet (American Mathematical Society (AMS), 2008-01-01)
This paper provides a topological method to construct all simply-connected, spin, smooth 6-manifolds with torsion-free homology using simply-connected, smooth 4-manifolds as building blocks. We explicitly determine the invariants that classify these 6-manifolds from the intersection form and specific homology classes of the 4-manifold building blocks.
Relative flux homomorphism in symplectic geometry
Ozan, Yıldıray (American Mathematical Society (AMS), 2005-01-01)
In this work we define a relative version of the flux homomorphism, introduced by Calabi in 1969, for a symplectic manifold. We use it to study ( the universal cover of) the group of symplectomorphisms of a symplectic manifold leaving a Lagrangian submanifold invariant. We also show that some quotients of the universal covering of the group of symplectomorphisms are stable under symplectic reduction.
Citation Formats
E. Coşkun, “ULRICH BUNDLES ON VERONESE SURFACES,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 4687–4701, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39989.