LEADER 02948oam 2200637 450 001 996466654003316 005 20211206194914.0 010 $a3-540-46021-7 024 7 $a10.1007/b62130 035 $a(CKB)1000000000234686 035 $a(SSID)ssj0000326185 035 $a(PQKBManifestationID)11212929 035 $a(PQKBTitleCode)TC0000326185 035 $a(PQKBWorkID)10296281 035 $a(PQKB)11522140 035 $a(DE-He213)978-3-540-46021-3 035 $a(MiAaPQ)EBC5590776 035 $a(MiAaPQ)EBC6485439 035 $a(Au-PeEL)EBL5590776 035 $a(OCoLC)1066189330 035 $a(PPN)155173464 035 $a(EXLCZ)991000000000234686 100 $a20210714d1999 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe red book of varieties and schemes $eincludes the Michigan lectures (1974) on curves and their Jacobians /$fDavid Mumford 205 $aSecond, expanded edition. 210 1$aBerlin ;$aHeidelberg :$cSpringer,$d[1999] 210 4$d©1999 215 $a1 online resource (X, 314 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1358 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-63293-X 327 $aVarieties -- Preschemes -- Local properties of schemes -- References -- Appendix: Curves and their Jacobians -- Survey of work on the Schottky problem up to 1996 (by Enrico Arbarello) -- References -- Guide to the Literature and References (Curves and Their Jacobians) -- Supplementary Bibliography on the Schottky Problem. 330 $aMumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduate students or mathematicians in other fields wishing to learn quickly what algebraic geometry is all about. This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to learn i) the concept of "scheme" as part of their study of algebraic geometry and ii) an overview of moduli problems for curves and of the use of theta functions to study these. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1358 606 $aGeometry, Algebraic 615 0$aGeometry, Algebraic. 676 $a516.35 686 $a14A10$2msc 686 $a14A15$2msc 686 $a14H10$2msc 686 $a14Kxx$2msc 686 $a14Fxx$2msc 686 $a14Lxx$2msc 700 $aMumford$b David$f1937-$042095 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a996466654003316 996 $aRed book of varieties and schemes$978627 997 $aUNISA