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19922026
Showing 2015 · math.AGShow all

6 papers · 2 filters

math.AG2015★ 2 cited

Higher rank BN-thory for curves of genus 5

H. Lange, P. E. Newstead

In this paper, we consider higher rank Brill-Noether theory for smooth curves of genus 5, obtaining new upper bounds for non-emptiness of Brill-Noether loci and many new examples.

math.AG2015★ 1 cited

Higher rank BN-theory for curves of genus 4

H. Lange, P. E. Newstead

Higher rank Brill-Noether theory is completely known for curves of genus . In this paper, we investigate the theory for curves of genus 4. Some of our results apply to curv…

math.AG2015★ 9 cited

Extensions of the universal theta divisor

Jesse Leo Kass, Nicola Pagani

The Jacobian varieties of smooth curves fit together to form a family, the universal Jacobian, over the moduli space of smooth marked curves, and the theta divisors of these curves…

math.AG2015

Moduli Spaces of Higher Spin Klein Surfaces

Sergey Natanzon, Anna Pratoussevitch

We study the connected components of the space of higher spin bundles on hyperbolic Klein surfaces. A Klein surface is a generalisation of a Riemann surface to the case of non-orie…

math.AG2015★ 1 cited

Numerical analogues of the Kodaira dimension and the Abundance Conjecture

Thomas Eckl

We add further notions to Lehmann's list of numerical analogues to the Kodaira dimension of pseudo-effective divisors on smooth complex projective varieties, and show new relations…

math.AG2015★ 13 cited

Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, II

Viacheslav V. Nikulin

We prove the main Conjecture 4 of our paper arXiv:1403.6061v5, which leads to classification of degenerations of codimension one of Kahlerian K3 surfaces with finite symplectic aut…