Limit linear series: Basic theory.
Limit Weierstrass schemes on stable curves with 2 irreducible components
We are concerned with limits of Weierstrass points under degeneration of smooth curves to stable curves of non compact type, union of two irreducible smooth components meeting transversely at points. The case having already been treated by Eisenbud and Harris in [8], we analyze the situation for .
Modules des surfaces de Riemann
Moduli of curves via algebraic geometry.
Moduli of orthogonal and spin bundles over hyperelliptic curves
Multiple Weierstrass points
Multiply quasiplatonic Riemann surfaces.
On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.
On deformations of monomial curves
On higher-order weierstrass points and the finiteness of the automorphism group.
On ovals on Riemann surfaces.
We prove that k (k ≥ 9) non-conjugate symmetries of a Riemann surface of genus g have at most 2g - 2 + 2r - 3(9 - k) ovals in total, where r is the smallest positive integer for which k ≤ 2r - 1. Furthermore we prove that for arbitrary k ≥ 9 this bound is sharp for infinitely many values of g.
On the computation of Weierstrass gap sequences.
On the connectedness of the locus of real Riemann surfaces.
On the existence of Weierstrass points whose first non-gaps are five.
On the graded Betti numbers of plane algebraic curves.
On the Lüroth Semigroup of curves lying on a smooth quadric.
On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.
On the Pythagoras number of a real irreducible algebroid curve.
On the theory of Riemann's Integrals
Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.