On quadratic generation of ideals defining projective toric varieties

Kodai Mathematical Journal

Volumn 26, Issue 2, 2003, Pages 137-146

  Ogata, Shoetsu ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4644310105     PISSN: 03865991     EISSN: None     Source Type: Journal    
DOI: 10.2996/kmj/1061901058     Document Type: Article

References (10)

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3. W. FULTON, Introduction to Toric Varieties, Ann. of Math. Studies 131, Princeton University Press, Princeton, 1993.
4. R. J. KOELMAN, The number of moduli of families of curves on toric surfaces, Thesis, Katholieke Universiteit te Nijmengen, 1991.
5. R. J. KOELMAN, Generators for the ideal of a projectively embedded toric surface, Tohoku Math. J., 45 (1993), 385–392.
6. R. J. KOELMAN, A criterion for the ideal of a projectively embedded toric surface to be generated by quadrics, Beiträger zur Algebra und Geometrie, 34 (1993), 57–62.
7. D. MUMFORD, Varieties defined by quadric equations, In: Questions on Algebraic Varieties, Corso CIME (1969), 30–100.
8. K. NAKAGAWA and S. Ogata, On generators of ideals defining projective toric varieties, Manuscripta Math., 108 (2002), 33–42.
9. T. ODA, Convex Bodies and Algebraic Geometry, Ergebnisse der Math. 15, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1988.
10. B. STURMFELS, Gröbner Bases and Convex Polytopes, University Lecture Series 8, American Math. Society, Providence, 1996.