UnirationalBNSchemes -- Unirationality of Brill-Noether spaces of curves with three pencils

This package implements the methods of the Ph.D thesis, serves as supporting code for the computational proves it contains.

Auxiliary functions

• expHilbFuncIdealSheaf -- computes the expected number of sections for the ideal sheaf of a curve under the maximal rank condition
• linkedDegree -- computes the degree of the linked curve
• linkedGenus -- computes the genus of the linked curve
• checkLiaison -- checks whether we can have and reverse the liaison construction for a general curve
• genusP1P1P1 -- computes the genus of a curve embedded in P1*P1*P1

Main functions

• curveViaLiaison -- construct the curve, linked to a rational curve via complete intersections
• isSmoothAndIrreducible -- checks whether a curve is smooth and irreducible
• maxRankCondition -- checks whether a curve satisfies the maximal rank condition in special degree

This package requires Macaulay2 Version 1.10 or newer