Intersection rings of spaces of triangles
Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987), Mémoires de la Société Mathématique de France, Série 2, no. 38 (1989), pp. 75-117.
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Collino, Alberto; Fulton, William. Intersection rings of spaces of triangles, dans Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987), Mémoires de la Société Mathématique de France, Série 2, no. 38 (1989), pp. 75-117. doi : 10.24033/msmf.342. https://www.numdam.org/articles/10.24033/msmf.342/

[1] A. Bialynicki-Birula. - Some theorems on actions of algebraic groups. Annals of Math. 98 (1973), 480-497. | MR | Zbl

[2] A. Bialynicki-Birula. - Some properties of the decompositions of algebraic varieties determined by actions of a torus. Bull. de l'Acad. Polonaise des Sci., Série des sci. math. astr. et phys. 24 (1976), 667-674. | MR | Zbl

[3] A. Cayley. - On the problem of the in-and-circumscribed triangle. Phil. Trans. Royal Soc. London 161 (1871), 369-412 (Collected Papers VIII, 212-257). | JFM

[4] S. Diaz and J. Harris. - Ideals associated to deformations of singular plane curves, preprint.

[5] G. Ellingsrud and S.A. Strømme. - On the homology of the Hilbert scheme of points in the plane. Inventiones Math. 87 (1987), 343-352. | MR | Zbl

[6] W. Fulton. - Intersection Theory. Springer-Verlag, 1984. | MR | Zbl

[7] W. Fulton, S. Kleiman and R. Macpherson. - Enumeration under tangency. Springer Lecture Notes 997 (1983), 156-196. | MR | Zbl

[8] P. Le Barz. - La variété des triplets complets, preprint.

[9] J. Roberts and R. Speiser. - Schubert's enumerative geometry of triangles from a modern viewpoint. Springer Lecture Notes 862 (1981), 272-281. | MR | Zbl

[10] J. Roberts and R. Speiser. - Enumerative geometry of triangles. I, Comm. in Alg. 12 (1984), 1213-1255 ; II, Comm. in Alg. 14 (1986), 155-191 ; III, preprint. | Zbl

[11] F. Rossello Llompart and S. Xambo Descamps. - Computing Chow groups, preprint.

[12] H. Schubert. - Anzahlgeometrische Behandlung des Driecks. Math. Ann. 17 (1880), 153-212. | JFM

[13] J.G. Semple. - The triangle as a geometric variable. Mathematika 1 (1954), 80-88. | MR | Zbl

[14] S.A. Strømme. - Rational curves in Grassmann varieties, preprint.

[15] J.A. Tyrrell. - On the enumerative geometry of triangles. Mathematika 6 (1959), 158-164. | MR | Zbl

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  • Babson, Eric; Gunnells, Paul E.; Scott, Richard Geometry of the tetrahedron space, Advances in Mathematics, Volume 204 (2006) no. 1, p. 176 | DOI:10.1016/j.aim.2005.05.013
  • Miret, Josep M.; Xambó-Descamps, Sebastià; Hernández, Xavier Completing Hermann Schubert's Work on the Enumerative Geometry of Cuspidal Cubics in ℙ3, Communications in Algebra, Volume 31 (2003) no. 8, p. 4037 | DOI:10.1081/agb-120022453
  • Babson, Eric; Gunnells, Paul E; Scott, Richard A Smooth Space of Tetrahedra, Advances in Mathematics, Volume 165 (2002) no. 2, p. 285 | DOI:10.1006/aima.2001.2029
  • Timashev, D. A. Cartier divisors and geometry of normalG-varieties, Transformation Groups, Volume 5 (2000) no. 2, p. 181 | DOI:10.1007/bf01236468
  • van der Kallen, Wilberd; Magyar, Peter The Space of Triangles, Vanishing Theorems, and Combinatorics, Journal of Algebra, Volume 222 (1999) no. 1, p. 17 | DOI:10.1006/jabr.1998.7841
  • Roos, Jan-Erik On computer-assisted research in homological algebra, Mathematics and Computers in Simulation, Volume 42 (1996) no. 4-6, p. 475 | DOI:10.1016/s0378-4754(96)00023-7
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