Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!
We study the problem of rationality of an infinite series of components, the so-called Ein components, of the Gieseker–Maruyama moduli space M(e, n) of rank 2 stable vector bundles with the first ...
Let C be a genus 2 curve and $${\mathcal{SU}}_C(2)$$ the moduli space of semi-stable rank 2 vector bundles on C with trivial determinant. In Bolognesi (Adv Geom 7(1):113–144, 2007) we described ...
with Harder–Narasimhan (HN) stratifications, these results are used to study the cohomology of the moduli space |${\mathcal{N}}_{n,d}$| of semistable vector bundles for coprime |$n$| and |$d$|. In this paper ...
in arbitary rank). On the Higgs bundle moduli space , the action leaves vector bundles invariant while rotating Higgs fields—and in particular, the moduli space of stable bundles is invariant. This similarity ...
of the universal moduli space of slope semi-stable vector bundles over moduli spaces of curves arising in the Hassett–Keel program. Our main result is the construction of a compactification of the universal moduli ...
rational maps are constructed from Grassmannians to moduli spaces of vector bundles over a curve, and it would be interesting to see what kind of constructions could lead considering Kodaira maps from ...
of rationality Let be an automorphic vector bundle over S(G,X). We distinguish between the field of moduli of and the field of rationality . All fields of moduli and of rationality are viewed as subfields ...
to (an arbitrary multiple of) a Fano polarization by constructing moduli spaces of stable Ulrich bundles of arbitrary rank and arbitrarily large dimension. 1 Introduction Since Horrocks proved his seminal result [22 ...
is hyperkähler. Here we also have a circle action |$\Phi\mapsto e^{i\theta}\Phi$| and a proper Morse function f = ‖Φ‖2. The absolute minimum of f is Φ = 0 which is the moduli space of (semi)-stable vector bundles ...
Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!