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math.AG2019
On the EKL-Degree of a Weyl Cover
Joseph Knight, Ashvin Swaminathan, Dennis Tseng
More than four decades ago, Eisenbud, Khimšiašvili, and Levine introduced an analogue in the algebro-geometric setting of the notion of local degree from differential topology. The…
math.AG2018★ 7 cited
An arithmetic count of the lines meeting four lines in P^3
Padmavathi Srinivasan, Kirsten Wickelgren
We enrich the classical count that there are two complex lines meeting four lines in space to an equality of isomorphism classes of bilinear forms. For any field , this enrichme…
math.AG2017
Inflectionary Invariants for Isolated Complete Intersection Curve Singularities
Anand Patel, Ashvin Swaminathan
We investigate the role played by curve singularity germs in the enumeration of inflection points in families of curves acquiring singular members. Let , and consider an…