3 papers
math.RA2026
Schreyer Resolutions over the Exterior Algebra
Janko Boehm, Lakshmi Ramesh
Schreyer's algorithm is usually the fastest way to determine a (typically non-minimal) free resolution of a finitely presented module over a polynomial ring. We adapt a refined ver…
math.AG2026
Exact Volumes of Semi-Algebraic Convex Bodies
Lakshmi Ramesh, Nicolas Weiss
We compute the volumes of convex bodies that are given by inequalities of concave polynomials. These volumes are found to arbitrary precision thanks to the representation of period…
math.AG2024
Points on Rational Normal Curves and the ABCT Variety
Daniele Agostini, Lakshmi Ramesh, Dawei Shen
The ABCT variety is defined as the closure of the image of under the Veronese map. We realize the ABCT variety as the determinantal variety of a vector bundle mor…