Varieties of sums of power

Journal fur die Reine und Angewandte Mathematik - Tập 2000 Số 525 - Trang 147-181 - 2000
K. Ranstad, Frank–Olaf Schreyer

Tóm tắt

Từ khóa


Tài liệu tham khảo

Alexander J., 1995, J. Alg. Geom., 4, 201

Arbarello, E., Cornalba, M., Gri ths, P. A., Harris, J., Geometry of algebraic curves, Vol. I, Grundl. Math. Wiss. 267, Springer-Verlag, New York-Berlin 1985.

Buchweitz R. O., 1981, Paris, 7

Chevalley, C., The algebraic theory of spinors, Columbia University Press, New York 1954.

Clebsch A., Math., 59, 125

Dixon, A., The canonical forms of the ternary sextic and the quarternary quartic, Proc. London Math. Soc. (2) 4 (1906), 223-227.

Dixon, A., Stuart, T., On the reduction of the ternary quintic and septimic to their canonical forms, Proc. London Math. Soc. (2) 4 (1906), 160-168.

Dolgachev I., 1993, Adv. Math., 98, 216, 10.1006/aima.1993.1016

Ein L., 1986, Invent. Math., 86, 63, 10.1007/BF01391495

Eisenbud, D., Commutative algebra.With a view toward algebraic geometry, GTM 150, Springer-Verlag, New York 1995.

Eusen, F., Schreyer, F.O., A remark to a conjecture of Paranjape and Ramanan, preprint, Bayreuth 1995.

Fano G., 1937, Mem. R. Acc. Italia, 8, 23

Hilbert D., Gesam. Abh., 148

Iarrobino A., 1984, Trans. Amer. Math. Soc., 285, 337, 10.1090/S0002-9947-1984-0748843-4

Iarrobino, A., Associated GradedAlgebra of a Gorenstein Artin Algebra.Mem. AMS 514 (1994).

Iarrobino A., 1995, J. Algebra, 174, 1091, 10.1006/jabr.1995.1169

Iarrobino A., 1999, Springer Lect. Notes Math., 1721

KnoErrer H., 1987, Invent. Math., 88, 153, 10.1007/BF01405095

Kustin A. R., 1985, Math. Z., 190, 341, 10.1007/BF01215134

Lazarsfeld, R., Van de Ven A., Recent work of F. L. Zak, DMV Seminar 4, BirkhaEuser, 1984.

Macaulay, F. S., Algebraic theory of modular systems, Cambridge University Press, London 1916.

Mukai, S., Curves, K3 surfaces and Fano 3-folds of genus �10, in: Algebraic Geometry and Commuatative Algebra in Honor of Masayoshi Nagata, Kinokuniya, Tokyo (1988), 357-377.

Mukai, S., Fano 3-folds, Complex Projective Geometry, London Math. Soc. L. N. S.179, Cambridge University Press (1992), 255-263.

Mukai, S., Polarized K3surfaces of genus 18 and 20, Complex Projective Geometry, London Math. Soc. L. N. S. 179, Cambridge University Press (1992), 264-276.

Mukai S., 1995, American J. Math., 117, 1627, 10.2307/2375032

Palatini, F., Sulla rappresentazione delle forme ternarie mediante la somma di potenze di forme lineari, Rom. Acc. L. Rend. (5) 12 (1903), 378-384.

Reye T., Math., 78, 97

Reye T., Math., 78, 115

Reye T., Math., 78, 123

Richmond H. W., 1904, Quart. J. Pure Appl. Math., 33, 331

Room, T. G., A synthesis of the Cli ord matrices and its generalizations, Amer. J. Math. (1952), 967-984.

Rosanes J., Math., 76, 312

Salmon, G., Modern Higher Algebra, 4. Ed., Hodges, Figgis, and Co., Dublin 1885.

Schreyer F.-O., 1986, Math. Ann., 275, 105, 10.1007/BF01458587

Scorza, G., Sopra la teoria delle gure polari delle curve piane del 4. ordine, Ann. Mat. (3) 2 (1899), 155-202.

Scorza G., Math. Ann., 52, 457

Sylvester, J. J., Sketch of a memoir on elimination, transformation and canonical forms, Collected Works, Vol. I, Cambridge University Press (1904), 184-197.

Sylvester, J. J., An essay on canonical forms, supplemented by a sketch of a memoir on elimination, transformation and canonical forms, Collected Works, Vol. I, Cambridge University Press (1904), 203-216.

Sylvester J. J., Comp. Rend. Acad. Sci., 102, 1532

Terracini A., 1911, Rend. Circ. Mat. Palermo, 31, 392, 10.1007/BF03018812