Papers
[1]
Bigraded structures and the depth of blow-up algebras. Gemma Colomé-Nin, Joan Elias.
Proceedings of the Royal Society of
Edinburgh, 136A, 1175-1194, 2006.
[2]
Cohomological properties of non-standard multigraded modules. Gemma Colomé-Nin, Joan Elias.
Journal of Algebra, 322, 1415-1429, 2009.
[3]
On the asymptotic depth of multigraded modules. Gemma Colomé-Nin, Joan Elias.
Communications in Algebra, 39, 3298-3316, 2011.
[4]
Associated primes of (non-standard) multigraded modules. Gemma Colomé-Nin.
Communications in Algebra, 41, 3541-3558, 2013.
Preprints and work in progress
[5] Diagonals of the bigraded Sally module and the growth of the Hilbert function. Gemma Colomé-Nin, Joan Elias.
[6] Generalized Hilbert coefficients and normalization of ideals. Gemma Colomé-Nin, Claudia Polini, Bernd Ulrich, Yu Xie.
[7] Generalized Hilbert coefficients and residual properties. Gemma Colomé-Nin, Joan Elias, Yu Xie.
Books
Three Lectures on Commutative Algebra.
Holger Brenner, Jürgen Herzog, Orlando Villamayor. Edited by Gemma Colomé-Nin, Teresa Cortadellas, Joan Elias and Santiago Zarzuela.
University Lecture Series, vol. 42, AMS, 2008.
Álgebra Lineal: una puerta de entrada a las matemáticas.
G. Colomé Nin, R.M. Miró-Roig (con
la colaboración de I. Llerena).
Textos universitarios, edited by E-LectoLibris and RSME, 2014.
PhD Thesis
Multigraded Structures and the Depth of Blow-up Algebras.
Date of defense: 14th July 2008.
Advisor: Joan Elias. Universitat de Barcelona.
Some presentations
Asymptotic properties of non-standard multigraded modules. Jornada SCM de Joves Investigadors en Matemàtiques, Institut d'Estudis Catalans (Barcelona, November 5, 2010)
On the asymptotic depth of multigraded modules (Poster). 1st Swedish-Catalan Conference in Mathematics (Barcelona, September 16-18, 2010)
PhD thesis presentation.(July 2008)
Bigraded structures and the depth of Blow-up algebras. Barcelona-Genova Workshop on Commutative Algebra and Applications (Barcelona, July 2007)
Bigraded structures and the depth of Blow-up algebras (Poster). COCOA's Fourth International School on Computer Algebra (Porto Conte, Italy, May 23-26, 2005)
