Interpolation for Brill--Noether curves
Eric Larson, Isabel Vogt
TL;DR
This paper calculates the number of general points a Brill--Noether curve of fixed degree and genus can pass through in any projective space, advancing understanding of the curve's geometric properties.
Contribution
It provides a general formula for the number of points a Brill--Noether curve can pass through, extending previous results to all projective spaces.
Findings
Derived a formula for the number of points a Brill--Noether curve can pass through.
Extended known results to arbitrary projective spaces.
Enhanced understanding of the geometric constraints of Brill--Noether curves.
Abstract
In this paper we determine the number of general points through which a Brill--Noether curve of fixed degree and genus in any projective space can be passed.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Vietnamese History and Culture Studies