3 papers
math.AG2025
Singular loci in varieties of tensors
Christopher Chiu, Alessandro Danelon, Jan Draisma
A Vec-variety is a suitable functor from finite-dimensional vector spaces to finite-dimensional varieties. Most varieties in the geometry of tensors, e.g. the variety of d-way tens…
math.RT2024
Biquadratic spaces of length two
Alessandro Danelon, Andrew Snowden
A tensor space is a vector space equipped with a finite collection of multilinear forms. The length of a tensor space is its length as a representation of its symmetry group. Infin…
math.AG2022
The enumerative geometry of cubic hypersurfaces: point and line conditions
Mara Belotti, Alessandro Danelon, Claudia Fevola +1
In order to count the number of smooth cubic hypersurfaces tangent to a prescribed number of lines and passing through a given number of points, we construct a compactification of…