Abstract:
Let X be a complete toric variety with homogeneous coordinate ring S. In this article, we compute upper and lower bounds for the codimension in the critical degree of ideals of S generated by dim(X) + 1 homogeneous polynomials that do not vanish simultaneously on X. ©2005 American Mathematical Society.
Registro:
Documento: |
Artículo
|
Título: | Codimension theorems for complete toric varieties |
Autor: | Cox, D.; Dickenstein, A. |
Filiación: | Department of Mathematics and Computer Science, Amherst College, Amherst, MA 01002-5000, United States Departamento de Matemática, F.C.E. y N, Cuidad Universitaria-Pabellón I, 1428 Buenos Aires, Argentina
|
Palabras clave: | Toric variety |
Año: | 2005
|
Volumen: | 133
|
Número: | 11
|
Página de inicio: | 3153
|
Página de fin: | 3162
|
DOI: |
http://dx.doi.org/10.1090/S0002-9939-05-07956-6 |
Título revista: | Proceedings of the American Mathematical Society
|
Título revista abreviado: | Proc. Am. Math. Soc.
|
ISSN: | 00029939
|
PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00029939_v133_n11_p3153_Cox.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v133_n11_p3153_Cox |
Referencias:
- Batyrev, V., Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori (1993) Duke Math. J., 69, pp. 349-409. , MR1203231 (94m:14067)
- Batyrev, V., Borisov, L., On Calabi- You complete intersections in toric varieties (1996) Higher-dimensional Complex Varieties (Trente, 1994), pp. 39-65. , de Gruyter, Berlin. MR1463173 (98j: 14052)
- Batyrev, V., Materov, E., Toric residues and mirror symmetry (2002) Mosc. Math. J., 2, pp. 435-475. , MR1988969 (2005a:14070)
- Cattani, E., Cox, D., Dickenstein, A., Residues in toric varieties (1997) Compositio Math., 108, pp. 35-76. , MR1458757 (98f:14039)
- Cattani, E., Dickenstein, A., A global view of residues in the torus (1997) J. Pure Appl. Algebra, 117-118, pp. 119-144. , MR1457836 (98i:14050)
- Cattani, E., Dickenstein, A., Sturmfels, B., Rational hypergeometric functions (2001) Compositio Mathematica, 128, pp. 217-240. , MR1850183 (2003f:33016)
- Cox, D., Toric residues (1996) Ark. Mat., 34, pp. 73-96. , MR1396624 (97e:14062)
- D'Andrea, C., Khetan, A., (2003) Macaulay Style Formulas for Toric Residues, , preprint, math.AG/0307154
- Mavlyutov, A., On the chiral ring of Calabi- Yau hypersurfaces in toric varieties (2003) Compositio Math., 138, pp. 289-336. , MR2019444 (2004m:14085)
- Mustaţǎ, M., Vanishing theorems on toric varieties (2002) Tohoku Math. J., 54, pp. 451-470. , MR1916637 (2003e:14013)
- Sturmfels, B., On the Newton polytope of the resultant (1994) J. Algebraic Combin., 3, pp. 207-236. , MR1268576 (95j:52024)
Citas:
---------- APA ----------
Cox, D. & Dickenstein, A.
(2005)
. Codimension theorems for complete toric varieties. Proceedings of the American Mathematical Society, 133(11), 3153-3162.
http://dx.doi.org/10.1090/S0002-9939-05-07956-6---------- CHICAGO ----------
Cox, D., Dickenstein, A.
"Codimension theorems for complete toric varieties"
. Proceedings of the American Mathematical Society 133, no. 11
(2005) : 3153-3162.
http://dx.doi.org/10.1090/S0002-9939-05-07956-6---------- MLA ----------
Cox, D., Dickenstein, A.
"Codimension theorems for complete toric varieties"
. Proceedings of the American Mathematical Society, vol. 133, no. 11, 2005, pp. 3153-3162.
http://dx.doi.org/10.1090/S0002-9939-05-07956-6---------- VANCOUVER ----------
Cox, D., Dickenstein, A. Codimension theorems for complete toric varieties. Proc. Am. Math. Soc. 2005;133(11):3153-3162.
http://dx.doi.org/10.1090/S0002-9939-05-07956-6