Zobrazeno 1 - 10
of 257
pro vyhledávání: '"SMITH, GREGORY G."'
We introduce tools for transferring nonnegativity certificates for global sections between line bundles on real algebraic surfaces. As applications, we improve Hilbert's degree bounds on sum-of-squares multipliers for nonnegative ternary forms, give
Externí odkaz:
http://arxiv.org/abs/2409.08834
Publikováno v:
J. Softw. Alg. Geom. 13 (2023) 53-59
We highlight some features of the SimplicialComplexes package in Macaulay2.
Comment: 8 pages, 2 figures
Comment: 8 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2303.17659
Autor:
Kropielnicka-Kruk, Katarzyna, Trotter, Andrew J., Fitzgibbon, Quinn P., Carter, Chris G., McRae, Jane, Smith, Gregory G.
Publikováno v:
In Aquaculture 30 January 2025 595 Part 1
Autor:
Lewis, Courtney L., Codabaccus, Basseer M., Carter, Chris G., Fitzgibbon, Quinn P., Smith, Gregory G., Elizur, Abigail, Ventura, Tomer
Publikováno v:
In Aquaculture Reports December 2024 39
Publikováno v:
Rendiconti dell'Istituto di Matematica dell'Universit\`a di Trieste 54 (2022) 1-15
By analyzing degeneracy loci over projectivized vector bundles, we recompute the degree of the discriminant locus of a vector bundle and provide a new proof of the Bogomolov instability theorem.
Comment: 12 pages, typos corrected, reference adde
Comment: 12 pages, typos corrected, reference adde
Externí odkaz:
http://arxiv.org/abs/2204.10352
Autor:
Lewis, Courtney L., Glendinning, Susan, Codabaccus, Basseer M., Carter, Chris G., Fitzgibbon, Quinn P., Smith, Gregory G., Elizur, Abigail, Ventura, Tomer
Publikováno v:
In Aquaculture Reports October 2024 38
Publikováno v:
Notices of the American Mathematical Society, 68 (2021) no. 5, 734-747
The relationship between nonnegative polynomials and sums of squares is one of the central questions in real algebraic geometry. A modern approach is to look at nonnegative polynomials and sums of squares on a real variety. We survey the rich history
Externí odkaz:
http://arxiv.org/abs/2101.05773
Autor:
Skjelnes, Roy, Smith, Gregory G.
Publikováno v:
Journal fur die reine und angewandte Mathematik (Crelles Journal) 794 (2023) 281-305
Closed subschemes in projective space with a fixed Hilbert polynomial are parametrized by a Hilbert scheme. We classify the smooth ones. We identify numerical conditions on a polynomial that completely determine when the Hilbert scheme is smooth. We
Externí odkaz:
http://arxiv.org/abs/2008.08938
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Publikováno v:
In Aquaculture 15 November 2023 576