ar X iv : m at h / 06 02 37 1 v 1 [ m at h . A G ] 1 7 Fe b 20 06 Braid Monodromy of Hypersurface Singularities
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ar X iv : m at h / 06 02 64 7 v 1 [ m at h . A G ] 2 8 Fe b 20 06 HIGHER FANO MANIFOLDS AND RATIONAL SURFACES
Let X be a Fano manifold of pseudo-index ≥ 3 such that c 1 (X) 2 − 2c 2 (X) is nef. Irreducibility of some spaces of rational curves on X (in fact, a weaker hypothesis) implies a general point of X is contained in a rational surface.
متن کاملar X iv : m at h / 06 02 39 4 v 1 [ m at h . G T ] 1 7 Fe b 20 06 MODULAR FIBERS AND ILLUMINATION PROBLEMS
For a Veech surface (X, ω), we characterize Aff + (X, ω) invariant subspaces of X n and prove that non-arithmetic Veech surfaces have only finitely many invariant subspaces of very particular shape (in any dimension). Among other consequences we find copies of (X, ω) embedded in the moduli-space of translation surfaces. We study illumination problems in (pre-)lattice surfaces. For (X, ω) prelat...
متن کاملar X iv : a st ro - p h / 06 02 38 1 v 1 1 7 Fe b 20 06 Muon Flux at the Geographical South Pole
The muon flux at the South-Pole was measured for five zenith angles, 0◦, 15◦, 35◦, 82.13◦ and 85.15◦ with a scintillator muon telescope incorporating ice Cherenkov tank detectors as the absorber. We compare the measurements with other data and with calculations.
متن کاملar X iv : m at h / 06 09 09 3 v 3 [ m at h . A G ] 2 1 Fe b 20 07 INVARIANTS OF NEWTON NON - DEGENERATE SURFACE SINGULARITIES
We recover the Newton diagram (modulo a natural ambiguity) from the link for any surface hypersurface singularity with non-degenerate Newton principal part whose link is a rational homology sphere. As a corollary, we show that the link determines the embedded topological type, the Milnor fibration, and the multiplicity of such a germ. This proves (even a stronger version of) Zariski's Conjectur...
متن کاملar X iv : m at h / 06 02 64 2 v 1 [ m at h . A G ] 2 8 Fe b 20 06 DIVISOR CLASSES AND THE VIRTUAL CANONICAL BUNDLE FOR GENUS 0 MAPS
Some divisor class relations for genus 0 curves are proved and used to compute the Cartier divisor class of the virtual canonical bundle for genus 0 maps to a smooth target. Many results here first appeared in [6] and [5]; our proofs use a completely different method.
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