SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE
Let V be a simplicial toric variety of codimension r over a field of any characteristic. We completely characterize the implicial toric varieties that are set-theoretic complete intersections on binomials. In particular we prove that: 1. In characteristic zero, V is a set-theoretic complete inte...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Nacional Mayor de San Marcos
2014-09-01
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| Series: | Pesquimat |
| Online Access: | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9245 |
| _version_ | 1811284459874418688 |
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| author | Margherita Barile Marcel Morales Apostolos Thoma |
| author_facet | Margherita Barile Marcel Morales Apostolos Thoma |
| author_sort | Margherita Barile |
| collection | DOAJ |
| description | Let V be a simplicial toric variety of codimension r over a field of any characteristic. We completely characterize the implicial toric varieties that are set-theoretic complete intersections on binomials. In particular we prove that:
1. In characteristic zero, V is a set-theoretic complete intersection on binomials if and only jf V is a. complete intersection. Moreover, if F1,…,Fr; are binomials such that I(V)= rad( F1, . .. ,Fr), th en I(V) = (F1, ... ,Fr).
We also get a geometric proof of some of the results in [9] characterizing complete intersections by gluing; semigroups.
2. In positive characteristic p, V is a set-theoretic complete intersection on binomials if and only if V is complete 1y p-glued. These results improve and complete all known results on these topics. |
| first_indexed | 2024-04-13T02:28:56Z |
| format | Article |
| id | doaj.art-f188e01322d3454f86e00f6f5d5fd16e |
| institution | Directory Open Access Journal |
| issn | 1560-912X 1609-8439 |
| language | Spanish |
| last_indexed | 2024-04-13T02:28:56Z |
| publishDate | 2014-09-01 |
| publisher | Universidad Nacional Mayor de San Marcos |
| record_format | Article |
| series | Pesquimat |
| spelling | doaj.art-f188e01322d3454f86e00f6f5d5fd16e2022-12-22T03:06:40ZspaUniversidad Nacional Mayor de San MarcosPesquimat1560-912X1609-84392014-09-013210.15381/pes.v3i2.92458244SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASEMargherita Barile0Marcel Morales1Apostolos Thoma2Dipartimento di Matematica, Universitá degli Studi di Bari, Via Orabona 4, 70125 Bari (Italy)Université de Grenoble I, lnstitut Fourier, URA 188, B.P. 74, 38402 Saint-Martin D'Heres Cedex, and IUFM de Lyon, 5 rue Anselme, 69317 Lyon Cedex (France)Department of Mathematics, University of Ioannína, Ioannina 45110 (Greece)Let V be a simplicial toric variety of codimension r over a field of any characteristic. We completely characterize the implicial toric varieties that are set-theoretic complete intersections on binomials. In particular we prove that: 1. In characteristic zero, V is a set-theoretic complete intersection on binomials if and only jf V is a. complete intersection. Moreover, if F1,…,Fr; are binomials such that I(V)= rad( F1, . .. ,Fr), th en I(V) = (F1, ... ,Fr). We also get a geometric proof of some of the results in [9] characterizing complete intersections by gluing; semigroups. 2. In positive characteristic p, V is a set-theoretic complete intersection on binomials if and only if V is complete 1y p-glued. These results improve and complete all known results on these topics.http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9245 |
| spellingShingle | Margherita Barile Marcel Morales Apostolos Thoma SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE Pesquimat |
| title | SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE |
| title_full | SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE |
| title_fullStr | SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE |
| title_full_unstemmed | SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE |
| title_short | SET-THEORETIC COMPLETE INTERSECTIONS ON BINOMIALS, THE SIMPLICIAL TORIC CASE |
| title_sort | set theoretic complete intersections on binomials the simplicial toric case |
| url | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9245 |
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