Aims Theaimofthisbookistoprovideaguidetoarich…-ject: algebraic curves, and how they vary
in families. The revolution that the? eld of algebraic geometry has undergone with the introd …

Along the way to this result we give a strong version of the Brill-Noether Theorem, we study
some general conditions on divisors of special curves in the moduli space, and we compute …

We describe the closure of the strata of Abelian differentials with prescribed type of zeros
and poles, in the projectivized Hodge bundle over the Deligne–Mumford moduli space of …

Green’s generic syzygy conjecture for curves of even genus lying on a K3 surface Page 1
Digital Object Identifier (DOI) 10.1007/s100970200042 J. Eur. Math. Soc. 4, 363–404 (2002) …

The Goettingen State and University Library offers CD-ROMs containing whole
volumes/monographs in PDF for Adobe Acrobat. The PDF-version contains the table of …

We construct a canonical isomorphism between the Bethe algebra acting on a multiplicity
space of a tensor product of evaluation $\mathfrak {gl} _N [t] $-modules and the scheme …

In this paper, we initiate our investigation of log canonical models for $(\overline {\mathcal
{M}} _g,\alpha\delta) $ as we decrease $\alpha $ from 1 to 0. We prove that for the first …

We compute the class of the compactification of the divisor of curves sitting on a K3 surface
and show that it violates the Harris-Morrison Slope Conjecture. We carry this out using the …

Given a moduli space, how can one construct the``best''(in the sense of higher dimensional
algebraic geometry) effective divisor on it? We show that, at least in the case of the moduli …

A metrized complex of algebraic curves over an algebraically closed field κ κ is, roughly
speaking, a finite metric graph Γ Γ together with a collection of marked complete nonsingular …