The canonical divisor on a smooth plane curve 30 6.2. More general divisors on smooth plane curves 31 6.3. The canonical divisor on a nodal plane curve 32 6.4. More general divisors on nodal planeâ€¦ (More)

Here, "of general moduli" means that there is a countable union V of subvarieties of the space pN of surfaces of degree d in p3, such that the statement Pie(S) = Z holds for S ~ p N _ V. Noether, itâ€¦ (More)

Gamma-ray line signatures can be expected in the very-high-energy (E(Î³)>100 GeV) domain due to self-annihilation or decay of dark matter (DM) particles in space. Such a signal would be readilyâ€¦ (More)

â€” In this paper we study families of linear series of dimension r and degree d on curves of genus g with negative Brill-Noether number P=g-(r+i)(g-d+r) and, allowing specified ramification at aâ€¦ (More)

In this paper we prove that the cone of effective divisors on the Kontsevich moduli spaces of stable maps M0,0(P , d) stabilize when r â‰¥ d. We give a complete characterization of the effectiveâ€¦ (More)

In this paper we study vector spaces of matrices, all of whose elements have rank at most a given number. The problem of classifying such spaces is roughly equivalent to the problem of classifyingâ€¦ (More)

We produce ample, respectively NEF, eventually free, divisors in the Kontsevich space M0,n(P , d) of n-pointed, genus 0, stable maps to Pr, given such divisors in M0,n+d. We prove this produces allâ€¦ (More)

This is the second in a sequence of papers on the geometry of spaces of rational curves of degree e on a general hypersurface X âŠ‚ Pn of degree d. In [11] it is proved that if d < n+1 2 then for eachâ€¦ (More)