On polynomials with given Hilbert function and applications
| dc.contributor.author | Bernardi, Alessandra | |
| dc.contributor.author | Jelisiejew, Joachim | |
| dc.contributor.author | Macias Marques, Pedro | |
| dc.contributor.author | Ranestad, Kristian | |
| dc.date.accessioned | 2017-01-04T15:48:28Z | |
| dc.date.available | 2017-01-04T15:48:28Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | Using Macaulay's correspondence we study the family of Artinian Gorenstein local algebras with fixed symmetric Hilbert function decomposition. As an application we give a new lower bound for the dimension of cactus varieties of the third Veronese embedding. We discuss the case of cubic surfaces, where interesting phenomena occur. | por |
| dc.description.sponsorship | Homing Plus programme of Foundation for Polish Science, co-financed from European Union, Regional Development Fund; Northeastern University; Project Galaad of INRIA Sophia Antipolis Méditerranée, France, Marie Curie Intra-European Fellowships for Carrer Development (FP7-PEOPLE-2009-IEF): ``DECONSTRUCT'', GNSAGA of INDAM, Mathematical Department Giuseppe Peano of Turin; Politecnico of Turin; Warsaw Center of Mathematics and Computer Science; Polish program KNOW; Polish National Science Center, project 2014/13/N/ST1/02640; ``Computational complexity, generalised Waring type problems and tensor decompositions'' project within ``Canaletto'', the executive program for scientific and technological cooperation between Italy and Poland, 2013-2015; Fundação para a Ciência e Tecnologia, projects ``Geometria Algébrica em Portugal'', PTDC/MAT/099275/2008, ``Comunidade Portuguesa de Geometria Algébrica'', PTDC/MAT-GEO/0675/2012, and sabbatical leave grant SFRH/BSAB/1392/2013; CIMA -- Centro de Investigação em Matemética e Aplicações, Universidade de Évora, projects PEst-OE/MAT/UI0117/2011 and PEst-OE/MAT/UI0117/2014; Fundação de Amparo à Pesquisa do Estado de São Paulo, grant 2014/12558--9; RCN project no 239015 ``Special Geometries'' | por |
| dc.identifier.authoremail | alessandra.bernardi@unitn.it | |
| dc.identifier.authoremail | jjelisiejew@mimuw.edu.pl | |
| dc.identifier.authoremail | pmm@uevora.pt | |
| dc.identifier.authoremail | ranestad@math.uio.no | |
| dc.identifier.doi | 10.1007/s13348-016-0190-2 | por |
| dc.identifier.scientificarea | 333 | por |
| dc.identifier.uri | http://hdl.handle.net/10174/19523 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Collectanea Mathematica | por |
| dc.rights | restrictedAccess | por |
| dc.subject | cactus rank | por |
| dc.subject | Artinian Gorenstein local algebra | por |
| dc.title | On polynomials with given Hilbert function and applications | por |
| dc.type | article | por |