We describe a new algorithm for computing standard and multi-graded Hilbert-Poincare series of a monomial ideal. We compare it with different strategies along with implementation details and timing data.
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1997 (v1)PublicationUploaded on: April 14, 2023
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1993 (v1)Publication
No description
Uploaded on: April 14, 2023 -
1997 (v1)Publication
Following the path trodden by several authors along the border between Algebraic Geometry and Algebraic Combinatorics, we present some new results on the combinatorial struc- ture of Borel ideals. This enables us to prove theorems on the shape of the sectional matrix of a homogeneous ideal, which is a new invariant stronger than the Hilbert function.
Uploaded on: April 14, 2023 -
2014 (v1)Publication
Libro di testo per corsi di Istituzioni di Matematica
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2013 (v1)Publication
Libro di esercizi svolti per corsi istituzionali di matematica
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2009 (v1)Publication
Computer Algebra System (CAS) Open Source (GPL 3)
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2014 (v1)Publication
CoCoA is a ``well-established'' Computer Algebra System dating back to 1989. It was created as a laboratory for studying Computational Commutative Algebra, and specifically Groebner bases... and still today maintains this tradition. In the last few years CoCoA has undergone a profound change: the code has been totally re-written in C++, and is...
Uploaded on: March 27, 2023 -
2008 (v1)Publication
C++ Library Open Source (GPL 3) For Computations in Commutative Algebra
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2006 (v1)Publication
No description
Uploaded on: April 14, 2023 -
2017 (v1)Publication
C++ library for Computations in Commutative Algebra
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2012 (v1)Publication
First released in 1988 under the scientific direction of Lorenzo Robbiano, CoCoA is a special-purpose system for doing Computations in Commutative Algebra: i.e. it is an interactive system specialized in the algorithmic treatment of polynomials, and is freely available for most common platforms. About 10 years ago, a new initiative began:...
Uploaded on: April 14, 2023 -
2014 (v1)Publication
CoCoALib is a portable, high-quality, open source C++ software library released under the GPL licence; it forms the mathematical core of the CoCoA-5 computer algebra system. Both software products are available from http://cocoa.dima.unige.it/. The design and development of this software requires a solid knowledge of both basic and advanced...
Uploaded on: April 14, 2023