LEADER 01154cam0 2200277 450 001 E600200032421 005 20200707103203.0 100 $a20071213d1954 |||||ita|0103 ba 101 $aita 102 $aIT 200 1 $aBattista Grassi$eDiscorso pronunciato dal Socio Nazionale Giulio Cotronei nella seduta a Classi riunite del 10 aprile 1954 in occasione del 1 centenario della nascita di Battista Grassi$fGiulio Cotronei 210 $aRoma$cAccademia Nazionale dei Lincei$d1954 215 $a22 p.$d27 cm 225 2 $aProblemi attuali di scienza e di cultura$v33 300 $aEstr. da : "Accademia Nazionale dei Lincei", CCCLI(1954) 410 1$1001LAEC00017316$12001 $a*Problemi attuali di scienza e di cultura$v33 700 1$aCotronei$b, Giulio$3A600200045442$4070$070186 801 0$aIT$bUNISOB$c20200707$gRICA 850 $aUNISOB 852 $aUNISOB$j500|Opusc$m77528 912 $aE600200032421 940 $aM 102 Monografia moderna SBN 941 $aM 957 $a500|Opusc$b000006$gSi$d77528$racquisto$1pregresso3$2UNISOB$3UNISOB$420071213112819.0$520200707103152.0$6Spinosa 996 $aBattista Grassi$91687973 997 $aUNISOB LEADER 04192nam 22007095 450 001 9910865249503321 005 20260302094128.0 010 $a3-031-55284-9 024 7 $a10.1007/978-3-031-55284-7 035 $a(MiAaPQ)EBC31364488 035 $a(Au-PeEL)EBL31364488 035 $a(CKB)32228629600041 035 $a(MiAaPQ)EBC31367208 035 $a(Au-PeEL)EBL31367208 035 $a(DE-He213)978-3-031-55284-7 035 $a(EXLCZ)9932228629600041 100 $a20240603d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDeterminantal Ideals of Square Linear Matrices /$fby Zaqueu Ramos, Aron Simis 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (326 pages) 311 08$a3-031-55283-0 327 $aPart I: General oversight -- Background steps in determinantal rings -- Algebraic preliminaries -- Geometric oversight -- Part II: Linear section of notable structured square matrices -- Linear sections of the generic square matrix -- Symmetry preserving linear sections of the generic symmetric matrix -- Linear sections of the generic square Hankel matrix -- Hankel like catalecticants -- The dual variety of a linear determinantal hypersurface -- Part III: Other classes of linear sections -- Hilbert-Burch linear sections -- Apocryphal classes -- Appendix -- Index. 330 $aThis book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices. Its content has been extensively tested in several lectures given on various occasions, typically to audiences composed of commutative algebraists, algebraic geometers, and singularity theorists. Traditionally, texts on this topic showcase determinantal rings as the main actors, emphasizing their properties as algebras. This book follows a different path, exploring the role of the ideal theory of minors in various situations?highlighting the use of Fitting ideals, for example. Topics include an introduction to the subject, explaining matrices and their ideals of minors, as well as classical and recent bounds for codimension. This is followed by examples of algebraic varieties defined by such ideals. The book also explores properties of matrices that impact their ideals of minors, such as the 1-generic property, explicitly presenting a criterion by Eisenbud. Additionally, the authors address the problem of the degeneration of generic matrices and their ideals of minors, along with applications to the dual varieties of some of the ideals. Primarily intended for graduate students and scholars in the areas of commutative algebra, algebraic geometry, and singularity theory, the book can also be used in advanced seminars and as a source of aid. It is suitable for beginner graduate students who have completed a first course in commutative algebra. 606 $aCommutative algebra 606 $aCommutative rings 606 $aGeometry, Algebraic 606 $aAlgebraic fields 606 $aPolynomials 606 $aCommutative Rings and Algebras 606 $aAlgebraic Geometry 606 $aField Theory and Polynomials 606 $aMatrius (Matemātica)$2thub 606 $aGeometria algebraica$2thub 606 $aPolinomis$2thub 608 $aLlibres electrōnics$2thub 615 0$aCommutative algebra. 615 0$aCommutative rings. 615 0$aGeometry, Algebraic. 615 0$aAlgebraic fields. 615 0$aPolynomials. 615 14$aCommutative Rings and Algebras. 615 24$aAlgebraic Geometry. 615 24$aField Theory and Polynomials. 615 7$aMatrius (Matemātica) 615 7$aGeometria algebraica 615 7$aPolinomis 676 $a512.44 700 $aRamos$b Zaqueu$01742033 701 $aSimis$b Aron$057153 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910865249503321 996 $aDeterminantal Ideals of Square Linear Matrices$94168652 997 $aUNINA