The "bad" directions or centres of projection, which yield degenerate projections of a smooth surface \(S\) embedded in 3-space, lie on a bifurcation set \(\mathcal{B}\) of positive codimension in view space \(\mathcal{V}\) (where \(\mathcal{V}=\mathbb{P}^{2}\) or \(\mathbb{R}^{3} \backslash S\) ).
Seshadri fibrations of algebraic surfaces
β Scribed by Wioletta Syzdek; Tomasz Szemberg
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 111 KB
- Volume
- 283
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We refine results of [6] and [10] which relate local invariants β Seshadri constants β of ample line bundles on surfaces to the global geometry β fibration structure. We show that the same picture emerges when looking at Seshadri constants measured at any finite subset of the given surface (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
## Abstract In this paper, we prove effective estimates for the number of exceptional values and the totally ramified value number of the Gauss map for pseudoβalgebraic and algebraic minimal surfaces in Euclidean fourβspace and give a kind of unicity theorem (Β© 2009 WILEYβVCH Verlag GmbH & Co. KGaA