LEADER 01127nam a2200325 i 4500 001 991000908399707536 005 20020507103058.0 008 951204s1977 de ||| | eng 020 $a0378081275 035 $ab10146684-39ule_inst 035 $aLE00638967$9ExL 040 $aDip.to Fisica$bita 084 $a53.8.8 084 $a546 084 $a621.3.2.4 084 $aQC480 100 1 $aPankove, Jacques I.$053716 245 10$aElectroluminescence /$cedited by J.I. Pankove ; with contributions by P.J. Dean ... [et al.] 260 $aBerlin ; New York :$bSpringer-Verlag,$c1977 300 $aix, 212 p. :$bill. ;$c24 cm. 490 0 $aTopics in applied physics ;$v17 500 $aIncludes bibliographical references and index. 650 4$aElectroluminescence 700 1 $aDean, Paul Jeremy 907 $a.b10146684$b17-02-17$c27-06-02 912 $a991000908399707536 945 $aLE006 53.8.8 PAN$g1$i2006000057059$lle006$o-$pE0.00$q-$rl$s- $t0$u1$v0$w1$x0$y.i10174680$z27-06-02 996 $aElectroluminescence$9186274 997 $aUNISALENTO 998 $ale006$b01-01-95$cm$da $e-$feng$gde $h0$i1 LEADER 03465nam 22004575 450 001 9910303445103321 005 20251116211615.0 010 $a3-030-03350-3 024 7 $a10.1007/978-3-030-03350-7 035 $a(CKB)4100000007335180 035 $a(DE-He213)978-3-030-03350-7 035 $a(MiAaPQ)EBC5627158 035 $a(PPN)23296419X 035 $a(EXLCZ)994100000007335180 100 $a20181230d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSingular Algebraic Curves $eWith an Appendix by Oleg Viro /$fby Gert-Martin Greuel, Christoph Lossen, Eugenii Shustin 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XX, 553 p. 74 illus.) 225 1 $aSpringer Monographs in Mathematics,$x1439-7382 311 08$a3-030-03349-X 327 $aZero-Dimensional Schemes for Singularities -- Global Deformation Theory -- H 1-Vanishing Theorems -- Equisingular Families of Curves. 330 $aSingular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area. 410 0$aSpringer Monographs in Mathematics,$x1439-7382 606 $aGeometry, Algebraic 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 615 0$aGeometry, Algebraic. 615 14$aAlgebraic Geometry. 676 $a516.35 700 $aGreuel$b G.-M$g(Gert-Martin),$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767897 702 $aLossen$b Christoph$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aShustin$b Eugenii$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910303445103321 996 $aSingular Algebraic Curves$92175759 997 $aUNINA