- Problem Set 16 In an earlier problem set, it was shown that any three points in A2
- Joins and secant varieties Chris Peterson and Hirotachi Abo
- Problem Set 11 For this entire problem set, R = k[x1, x2, . . . , xn] with k a eld.
- Problem Set 8 For this entire problem set, k is an algebraically closed eld.
- Problem Set 6 The picture below lies in A2
- Sample solutions for Problems 7, 8 and 10 in Problem Set 12 with Chris Peterson and Hirotachi Abo
- How to make free resolutions with Macaulay2 Chris Peterson and Hirotachi Abo
- PETERSEN PLANE ARRANGEMENTS AND A SURFACE WITH MULTIPLE 7-SECANTS
- ON NON-DEFECTIVITY OF CERTAIN SEGRE-VERONESE HIROTACHI ABO
- How to start Macaulay2 Chris Peterson and Hirotachi Abo
- Problem Set 10 For this entire problem set, R = k[x1, x2, . . . , xn] with k a eld.
- Problem Set 20 Problem 1. Let F and G be two homogeneous polynomials in R = k[x0, x1, . . . , xn].
- NEW EXAMPLES OF DEFECTIVE SECANT VARIETIES OF SEGRE-VERONESE VARIETIES
- Problem Set 18 Problem 1. a) Let R = k[x, y, z]. Show that every syzygy of the matrix x y
- Problem Set 14 A quick note on degree. Let V be an ane variety of dimension p. If you
- Problem Set 17 There was a typo on Problem 4 from Problem Set 16. It should read as
- Problem Set 19 Problem 1. Let G = Ax2
- Problem Set 13 Problem 1. It is a well known theorem that the diagonals of a parallelogram
- Sample solutions of selected problems with Macaulay2 (Sets 2, 3) Chris Peterson and Hirotachi Abo
- Problem Set 4 The following problem is meant to illustrate the idea in the proof of Hilbert's
- A sample solution of Problem 2 in Problem Set 19 with Chris Peterson and Hirotachi Abo
- Construction of Rational Surfaces in Projective Fourspace
- ON THE DIMENSIONS OF SECANT VARIETIES OF SEGRE-VERONESE VARIETIES
- Problem Set 2 Problem 1. a) Let I = (x2
- Problem Set 7 The picture below lies in A2
- NON-DEFECTIVITY OF GRASSMANNIANS OF PLANES HIROTACHI ABO, GIORGIO OTTAVIANI, AND CHRIS PETERSON
- SECANT VARIETIES OF SEGRE-VERONESE VARIETIES Pm Pn EMBEDDED BY O(1, 2)
- ON THE SECANT DEFECTIVITY OF SEGRE-VERONESE VARIETIES HIROTACHI ABO
- Problem Set 1 The next several problems are concerned with Sylvester's matrix and
- Problem Set 3 Problem 1. a) Let I = (x4
- Problem Set 4 Let V be a closed ane variety in An
- Problem Set 9 For this entire problem set, R = k[x1, x2, . . . , xn] with k a eld.
- Problem Set 12 For this entire problem set, R = k[x1, x2, . . . , xn] with k a eld.
- Problem Set 15 Problem 1. Let H be a hexagon. The intersections of the opposite sides of H
- Four bar linkage coupler curve Chris Peterson and Hirotachi Abo
- How can we compute the ideal of the twisted cubic? Chris Peterson and Hirotachi Abo
- Sample solutions of selected problems from Sets 10 and 11 Chris Peterson and Hirotachi Abo
- Sample solutions for Problem 5 in Problem Set 13 with Chris Peterson and Hirotachi Abo
- Chris Peterson and Hirotachi Abo Note. This script is also available at
- VARIETIES OF COMPLETELY DECOMPOSABLE FORMS AND THEIR SECANTS