scholarly journals The Gröbner fan of the Hilbert scheme

2020 ◽  
Author(s):  
Yuta Kambe ◽  
Paolo Lella
Keyword(s):  
Hilbert Scheme ◽  
Gröbner Fan ◽  
Grobner Fan

scholarly journals The Gröbner fan and Gröbner walk for modules

2005 ◽  
Vol 39 (2) ◽  
pp. 127-153 ◽  
Author(s):  
Ruth L. Auerbach
Keyword(s):  
Gröbner Fan ◽  
Grobner Fan

Applications of the gröbner fan to gene network reconstruction (abstract only)

2008 ◽  
Vol 42 (1-2) ◽  
pp. 69-69
Author(s):  
Elena S. Dimitrova ◽  
Brandilyn Stigler ◽  
Abdul Salam Jarrah ◽  
Reinhard Laubenbacher
Keyword(s):  
Gene Network ◽  
Network Reconstruction ◽  
Gene Network Reconstruction ◽  
Gröbner Fan ◽  
Grobner Fan

scholarly journals Contracted ideals and the Gröbner fan of the rational normal curve

2007 ◽  
Vol 1 (3) ◽  
pp. 239-268 ◽  
Author(s):  
Aldo Conca ◽  
Emanuela De Negri ◽  
Maria Evelina Rossi
Keyword(s):  
Normal Curve ◽  
Gröbner Fan ◽  
Rational Normal Curve ◽  
Grobner Fan

scholarly journals Small Gröbner fans of ideals of points

2019 ◽  
Vol 19 (05) ◽  
pp. 2050087 ◽  
Author(s):  
Elena Dimitrova ◽  
Qijun He ◽  
Lorenzo Robbiano ◽  
Brandilyn Stigler
Keyword(s):  
Gröbner Basis ◽  
Biological Systems ◽  
Gröbner Bases ◽  
Grobner Bases ◽  
Polynomial Rings ◽  
Grobner Basis ◽  
Relevant Topic ◽  
Gröbner Fan ◽  
Grobner Fan

In the context of modeling biological systems, it is of interest to generate ideals of points with a unique reduced Gröbner basis, and the first main goal of this paper is to identify classes of ideals in polynomial rings which share this property. Moreover, we provide methodologies for constructing such ideals. We then relax the condition of uniqueness. The second and most relevant topic discussed here is to consider and identify pairs of ideals with the same number of reduced Gröbner bases, that is, with the same cardinality of their associated Gröbner fan.

Estimating the Volumes of the Cones in a Gröbner Fan

2010 ◽  
Vol 3 (4) ◽  
pp. 457-463 ◽  
Author(s):  
Elena S. Dimitrova
Keyword(s):  
Gröbner Fan ◽  
Grobner Fan

scholarly journals The Gröbner fan of an ideal

1988 ◽  
Vol 6 (2-3) ◽  
pp. 183-208 ◽  
Author(s):  
Teo Mora ◽  
Lorenzo Robbiano
Keyword(s):  
Gröbner Fan ◽  
Grobner Fan

The degree compatible Gröbner fan for linear codes

2015 ◽  
Vol 49 (1) ◽  
pp. 18-19
Author(s):  
Natalia Dück ◽  
Irene Márquez-Corbella ◽  
Edgar Martínez-Moro
Keyword(s):  
Linear Codes ◽  
Gröbner Fan ◽  
Grobner Fan
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