Determinantal Ideals
Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commu...
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oai:112.137.131.14:VNU_123-315682020-06-21T01:58:11Z Determinantal Ideals Miró-Roig, Rosa M. Mathematics and Statistics ; Ideals (Algebra) 512.42 Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commutative algebra and algebraic geometry, and they also have numerous connections with invariant theory, representation theory, and combinatorics. Due to their important role, their study has attracted many researchers and has received considerable attention in the literature. In this book three crucial problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals. 2017-04-20T03:09:04Z 2017-04-20T03:09:04Z 2008 Book 978-3-7643-8535-4 http://repository.vnu.edu.vn/handle/VNU_123/31568 http://dx.doi.org/10.1007/978-3-7643-8535-4 en 149 p. application/pdf Springer |
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Vietnam National University, Hanoi |
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VNU Library & Information Center |
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Vietnam |
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VNU Digital Repository |
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English |
| topic |
Mathematics and Statistics ; Ideals (Algebra) 512.42 |
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Mathematics and Statistics ; Ideals (Algebra) 512.42 Miró-Roig, Rosa M. Determinantal Ideals |
| description |
Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls.
Determinantal ideals are a central topic in both commutative algebra and algebraic geometry, and they also have numerous connections with invariant theory, representation theory, and combinatorics. Due to their important role, their study has attracted many researchers and has received considerable attention in the literature. In this book three crucial problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals. |
| format |
Book |
| author |
Miró-Roig, Rosa M. |
| author_facet |
Miró-Roig, Rosa M. |
| author_sort |
Miró-Roig, Rosa M. |
| title |
Determinantal Ideals |
| title_short |
Determinantal Ideals |
| title_full |
Determinantal Ideals |
| title_fullStr |
Determinantal Ideals |
| title_full_unstemmed |
Determinantal Ideals |
| title_sort |
determinantal ideals |
| publisher |
Springer |
| publishDate |
2017 |
| url |
http://repository.vnu.edu.vn/handle/VNU_123/31568 http://dx.doi.org/10.1007/978-3-7643-8535-4 |
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1680963329552547840 |