LEADER 04420nam 22006615 450 001 9910300241803321 005 20221012213058.0 010 $a1-4939-3082-6 024 7 $a10.1007/978-1-4939-3082-1 035 $a(CKB)3710000000478732 035 $a(EBL)4178118 035 $a(SSID)ssj0001585159 035 $a(PQKBManifestationID)16264055 035 $a(PQKBTitleCode)TC0001585159 035 $a(PQKBWorkID)14864897 035 $a(PQKB)10253464 035 $a(DE-He213)978-1-4939-3082-1 035 $a(MiAaPQ)EBC4178118 035 $a(PPN)190530340 035 $a(EXLCZ)993710000000478732 100 $a20150925d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Grassmannian variety $egeometric and representation-theoretic aspects /$fby V. Lakshmibai, Justin Brown 205 $a1st ed. 2015. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015. 215 $a1 online resource (174 p.) 225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v42 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Introduction -- Part I. Algebraic Geometry?A Brief Recollection - 2. Preliminary Material -- 3. Cohomology Theory -- 4. Gröbner Bases -- Part II. Grassmannian and Schubert Varieties -- 5. The Grassmannian and Its Schubert Varieties -- 6. Further Geometric Properties of Schubert Varieties -- 7. Flat Degenerations -- Part III. Flag Varieties and Related Varieties -- 8. The Flag Variety: Geometric and Representation-Theoretic Aspects -- 9. Relationship to Classical Invariant Theory -- 10. Determinantal Varieties -- 11. Related Topics -- References -- List of Symbols -- Index. 330 $aThis book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this  text uniquely presents an exciting playing field  for graduate students and researchers in mathematics, physics, and computer science, to expand their knowledge in the field of algebraic geometry. The standard monomial theory (SMT) for the Grassmannian varieties and their Schubert subvarieties are introduced and the text presents some important applications of SMT including the Cohen?Macaulay property, normality, unique factoriality, Gorenstein property, singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory. This text would serve well as a reference book for a graduate work on Grassmannian varieties and would be an excellent supplementary text for several courses including those in geometry of spherical varieties, Schubert varieties, advanced topics in geometric and differential topology, representation theory of compact and reductive groups, Lie theory, toric varieties, geometric representation theory, and singularity theory. The reader should have some familiarity with commutative algebra and algebraic geometry. 410 0$aDevelopments in Mathematics,$x1389-2177 ;$v42 606 $aGeometry, Algebraic 606 $aAlgebraic topology 606 $aCombinatorial analysis 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aGeometry, Algebraic. 615 0$aAlgebraic topology. 615 0$aCombinatorial analysis. 615 14$aAlgebraic Geometry. 615 24$aAlgebraic Topology. 615 24$aCombinatorics. 676 $a512.2 700 $aLakshmibai$b V$4aut$4http://id.loc.gov/vocabulary/relators/aut$0955751 702 $aBrown$b Justin$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300241803321 996 $aThe Grassmannian Variety$92533257 997 $aUNINA LEADER 05756nam 2200721Ia 450 001 9910968835703321 005 20200520144314.0 010 $a9786612104909 010 $a9781282104907 010 $a128210490X 010 $a9789027291066 010 $a9027291063 024 7 $a10.1075/btl.82 035 $a(CKB)1000000000722888 035 $a(SSID)ssj0000130979 035 $a(PQKBManifestationID)11134209 035 $a(PQKBTitleCode)TC0000130979 035 $a(PQKBWorkID)10098309 035 $a(PQKB)10326298 035 $a(MiAaPQ)EBC622386 035 $a(Au-PeEL)EBL622386 035 $a(CaPaEBR)ebr10279950 035 $a(CaONFJC)MIL210490 035 $a(OCoLC)646801393 035 $a(DE-B1597)721751 035 $a(DE-B1597)9789027291066 035 $a(EXLCZ)991000000000722888 100 $a20080922d2009 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aCorpus use and translating $ecorpus use for learning to translate and learning corpus use to translate /$fedited by Allison Beeby, Patricia Rodriguez Ines and Pilar Sanchez-Gijon 205 $a1st ed. 210 $aAmsterdam ;$aPhiladelphia $cJohn Benjamins Pub. Co.$d2009 215 $a1 online resource (x, 151 p.) 225 1 $aBenjamins translation library,$x0929-7316 ;$vv. 82 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9789027224262 311 08$a9027224269 320 $aIncludes bibliographical references and index. 327 $aCorpus Use and Translating -- Editorial page -- Title page -- LCC data -- Table of contents -- List of editors and contributors -- Introduction -- References -- Using corpora and retrieval software as a source of materials for the translation classroom -- 1. The role of corpus-related resources in translator training -- 2. Pedagogic assumptions: Objectives and methodology -- 3. Designing corpus-related translation tasks -- 4. Conclusion -- References -- Appendix 1. Tasks with als and wenn for the German-Catalan translation classroom -- Appendix 2. A multiple choice task based on a corpus of student translations -- Appendix 3. Tasks with now for the English-Catalan translation classroom -- Appendix 4. References to text in COVALT corpus -- Safeguarding the lexicogrammatical environment: Translating semantic prosody -- Introduction -- 1. Studies on semantic prosody -- 2. The teaching module: Methodology and results -- 3. Discussion of the methodology adopted -- 4. Summing up: Corpus use and learning to translate -- References -- Are translations longer than source texts? A corpus-based study of explicitation -- 1. Introduction -- 2. Explicitation -- 3. Text length in COMPARA 5.2 -- 4. Results -- 5. Conclusions -- 6. Implications for translator education -- Acknowledgements -- References -- Arriving at equivalence: Making a case for comparable general reference corpora in translation studi -- 1. Introduction -- 2. Comparability and general reference corpora -- 3. Background to this research -- 4. Identifying translation equivalents -- 5. Native norms and creativity in translation -- 6. Discussion -- References -- Virtual corpora as documentation resources: Translating travel insurance documents (English-Spani -- 1. Introduction -- 2. Corpora in translation training -- 3. Guidelines for corpus creation -- 4. Determining corpus representativeness. 327 $a5. Using the corpus to translate -- 6. Conclusion -- References -- Developing documentation skills to build do-it-yourself corpora in the specialised translation cour -- 1. Specialised translation and the translator's needs -- 2. Documentation in translator training -- 3. The use of a DIY corpus as a documentation resource -- 4. Conclusions -- References -- Evaluating the process and not just the product when using corpora in translator education -- 1. Introduction -- 2. Theoretical background -- 3. Pedagogical framework and proposal -- 4. Results -- 5. Conclusions -- References -- Subject index -- The series Benjamins Translation Library. 330 $aProfessional translators are increasingly dependent on electronic resources, and trainee translators need to develop skills that allow them to make the best use of these resources. The aim of this book is to show how CULT (Corpus Use for Learning to Translate) methodologies can be used to prepare learning materials, and how novice translators can become autonomous users of corpora. Readers interested in translation studies, translator training and corpus linguistics will find the book particularly useful. Not only does it include practical, technical advice for using and learning to use corpora, but it also addresses important issues such as the balance between training and education and how CULT methodologies reinforce student autonomy and responsibility. Not only is this a good introduction to CULT, but it also incorporates the latest developments in this field, showing the advantages of using these methodologies in competence-based learning. 410 0$aBenjamins translation library ;$vv. 82. 606 $aTranslating and interpreting$xData processing 606 $aCorpora (Linguistics) 606 $aTranslators$xTraining of 615 0$aTranslating and interpreting$xData processing. 615 0$aCorpora (Linguistics) 615 0$aTranslators$xTraining of. 676 $a440 701 $aBeeby$b Allison$01799949 701 $aRodriguez Ines$b Patricia$01800212 701 $aSanchez-Gijon$b Pilar$01800213 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910968835703321 996 $aCorpus use and translating$94344862 997 $aUNINA