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20022011
most citedLIGO: The Laser Interferometer Gravitational-Wave Observatory

1.2k citations

Showing 2003 · math.AGShow all

8 papers · 2 filters

math.AG20032 cited

On the arc filtration for the singularities of Arnold's lists

W. Ebeling, S. M. Gusein-Zade

In a previous paper, the authors introduced a filtration on the ring of germs of functions on a germ of a complex analytic variety defined by arcs on the s…

math.AG2003

Last syzygies of 1-generic spaces

Hans-Christian v. Bothmer

Consider a determinantal variety X of expected codimension definend by the maximal minors of a matrix M of linear forms. Eisenbud and Popescu have conjectured that 1-generic matric…

math.AG20031 cited

Homological index for 1-forms and a Milnor number for isolated singularities

W. Ebeling, S. M. Gusein-Zade, J. Seade

We introduce a notion of a homological index of a holomorphic 1-form on a germ of a complex analytic variety with an isolated singularity, inspired by X. Gómez-Mont and G.-M. Greue…

math.AG2003

The Kodaira dimension of certain moduli spaces of abelian surfaces

Cord Erdenberger

The moduli space of (1,p)-polarized abelian surfaces is a quasi-projective variety. In the case when p is a prime, we study its Kodaira dimension. We show that it is of general typ…

math.AG200321 cited

Geometric syzygies of elliptic normal curves and their secant varieties

Hans-Christian v. Bothmer, Klaus Hulek

We show that the linear syzygy spaces of elliptic normal curves, their secant varieties and of bielliptic canonical curves are spanned by geometric syzygies.

math.AG2003

A filtration defined by arcs on a variety

Wolfgang Ebeling, Sabir M. Gusein-Zade

We define a natural filtration on the ring of germs of functions on a germ of a complex analytic variety related with the geometry of arcs on the variety a…