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# K3Carpets : Table of Contents

- K3Carpets -- The unique Gorenstein double structure on a surface scroll
- allGradings -- add Grading to a Complex
- analyzeStrand -- analyze the (a+1)-st constant strand of F over ZZ
- canonicalCarpet -- Carpet of given genus and Clifford index
- canonicalHomotopies -- Homotopies on the resolution of a K3 carpet
- carpet -- Ideal of the unique Gorenstein double structure on a 2-dimensional scroll
- carpetBettiTable -- compute the Betti tables of a carpet of given genus and Clifford index over a prime field of characteristic p
- carpetBettiTables -- compute the Betti tables of a carpet of given genus and Clifford index over all prime fields
- carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)
- computeBound -- compute the bound for the good types in case of k resonance
- correspondenceScroll -- Union of planes joining points of rational normal curves according to a given correspondence
- coxMatrices -- compute the Cox matrices
- degenerateK3 -- Ideal of a degenerate K3 surface X_e(a,b)
- degenerateK3BettiTables -- compute the Betti tables of a degenerate K3 over all prime fields
- FineGrading -- Option for carpet, canonicalCarpet
- gorensteinDouble -- attempts to produce a Gorenstein double structure J subset I
- hankelMatrix -- matrix with constant anti-diagonal entries
- homotopyRanks -- compute the ranks of the quadratic homotopies on a carpet
- irrelevantIdeal -- returns the irrelevant ideal of a multi-graded ring
- productOfProjectiveSpaces -- Constructs the multi-graded ring of a product of copies of P^1 (pp is a synonym)
- relativeEquations -- compute the relative quadrics
- relativeResolution -- compute the relative resolution
- relativeResolutionTwists -- compute the twists in the relative resolution
- resonanceDet -- compute the resonance determinant of the crucial constant strand of a degenerate K3 X_e(a,a)
- resonanceScroll -- compute the splitting type of the resonance scroll
- schemeInProduct -- multi-graded Ideal of the image of a map to a product of projective spaces
- schreyerName -- get the names of generators in the (nonminimal) Schreyer resolution according to Schreyer's convention
- Scrolls -- Option for carpet, canonicalCarpet
- smallDiagonal -- Ideal of the small diagonal in (P^1)^n