On generators of ideals defining projective toric varieties

Manuscripta Mathematica

Volumn 108, Issue 1, 2002, Pages 33-42

  Ogata, Shoetsu ^a,b   Nakagawa, Katsuyoshi ^a  

^a TOHOKU UNIVERSITY   (Japan)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036999831     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290200252     Document Type: Article

References (10)

1. [EW] Ewald, G., Wessels, U.: On the ampleness of invertible sheaves in complete projective toric varieties, Results in Mathematics 19, 275-278 (1991)
2. [Fj] Fujita, T.: Defining equations for certain types of polarized varieties, in Complex Analysis and Algebraic Geometry (edited by Bailly and Shioda) (Iwanami and Cambridge Univ. Press 1977) 165-173
3. [El] Fulton, W.: Introduction to Toric Varieties, Ann. of Math. Studies No. 131 (Princeton Univ. Press 1993)
4. [K1] Koelman, R. J.: The number of moduli of families of curves on toric surfaces, thesis, Katholieke Universiteit te Nijmengen 1991
5. [K2] Koelman, R. J.: Generators for the ideal of a projectively embedded toric surfaces, Tohoku Math. J. 45, 385-392 (1993)
6. [K3] Koelman, R. J.: A criterion for the ideal of a projectively embedded toric surfaces to be generated by quadrics, Beiträger zur Algebra und Geometrie 34, 57-62 (1993)
7. [M] Mumford, D.: Varieties defined by quadric equations, In: Questions on Algebraic Varieties, Corso CIME 30-100 (1969)
8. [N] Nakagawa, K.: Generators for the ideal of a projectively embedded toric varieties, thesis, Tohoku University (1994)
9. [O] Oda, T.: Convex Bodies and Algebraic Geometry, Ergebnisse der Math. 15 (Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo 1988)
10. [OP] Oda, T., Park, H. S.: Linear Gale transforms and Gelfand-Kapranov-Zelevinskij decomposition, Tohoku Math. J. 43, 375-399 (1991)