Combinatorics of a certain ideal in the Segre coordinate ring
HTML articles powered by AMS MathViewer
- by Paulo Brumatti, Philippe Gimenez and Aron Simis PDF
- Proc. Amer. Math. Soc. 124 (1996), 3285-3292 Request permission
Abstract:
We focus on a “fat” model of an ideal in the class of the canonical ideal of the Segre coordinate ring, looking at its Rees algebra and related arithmetical questions.References
- Winfried Bruns and Udo Vetter, Determinantal rings, Lecture Notes in Mathematics, vol. 1327, Springer-Verlag, Berlin, 1988. MR 953963, DOI 10.1007/BFb0080378
- D. Eisenbud and B. Sturmfels, Binomial Ideals, Duke Math. J. (to appear).
- Ph. Gimenez, Étude de la fibre spéciale de l’éclatement d’une variété monomiale en codimension deux, Thèse, Institut Fourier, 1993.
- J. Herzog, A. Simis, and W. V. Vasconcelos, Koszul homology and blowing-up rings, Commutative algebra (Trento, 1981) Lecture Notes in Pure and Appl. Math., vol. 84, Dekker, New York, 1983, pp. 79–169. MR 686942
- Craig Huneke, Powers of ideals generated by weak $d$-sequences, J. Algebra 68 (1981), no. 2, 471–509. MR 608547, DOI 10.1016/0021-8693(81)90276-3
- Sam Huckaba and Craig Huneke, Powers of ideals having small analytic deviation, Amer. J. Math. 114 (1992), no. 2, 367–403. MR 1156570, DOI 10.2307/2374708
- Jürgen Herzog, Ngô Viêt Trung, and Bernd Ulrich, On the multiplicity of blow-up rings of ideals generated by $d$-sequences, J. Pure Appl. Algebra 80 (1992), no. 3, 273–297. MR 1170714, DOI 10.1016/0022-4049(92)90146-7
- Marcel Morales and Aron Simis, Symbolic powers of monomial curves in $\textbf {P}^3$ lying on a quadric surface, Comm. Algebra 20 (1992), no. 4, 1109–1121. MR 1154405, DOI 10.1080/00927879208824394
- Peter Schenzel, Filtrations and Noetherian symbolic blow-up rings, Proc. Amer. Math. Soc. 102 (1988), no. 4, 817–822. MR 934849, DOI 10.1090/S0002-9939-1988-0934849-8
- Bernd Sturmfels, Gröbner bases and Stanley decompositions of determinantal rings, Math. Z. 205 (1990), no. 1, 137–144. MR 1069489, DOI 10.1007/BF02571229
- A. Simis, N. V. Trung and G. Valla, The diagonal subalgebra of a blowup algebra, J. Pure Appl. Algebra (to appear).
Additional Information
- Paulo Brumatti
- Affiliation: IMECC, Universidade Estadual de Campinas, 13081-970 Campinas, São Paulo, Brazil
- Email: brumatti@ime.unicamp.br
- Philippe Gimenez
- Affiliation: Departamento de Algebra, Geometria e Topologia, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain
- MR Author ID: 339539
- ORCID: 0000-0002-5436-9837
- Email: pgimenez@cpd.uva.es
- Aron Simis
- Affiliation: Universidade Federal da Bahia, Instituto de Matemática, Av. Ademar de Barros, s/n, 40170-210 Salvador, Bahia, Brazil
- MR Author ID: 162400
- Email: aron@ufba.br
- Received by editor(s): April 25, 1995
- Additional Notes: The first and the third authors were partially supported by CNPq. The second author is grateful for the warm hospitality during his visit to Brazilian institutions. He thanks UniCamp and CDE (IMU) for providing resources for this visit.
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3285-3292
- MSC (1991): Primary 13H10; Secondary 13C05, 13H15, 13P10
- DOI: https://doi.org/10.1090/S0002-9939-96-03479-X
- MathSciNet review: 1343683