000 03735nam a22006855i 4500
001 9783110426120
003 DE-B1597
005 20200803184528.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 190615s2015 pl fo d z eng d
020 _a9783110426120
024 7 _a10.2478/9783110426120
_2doi
035 _a(DE-B1597)451091
035 _a(OCoLC)1002264468
035 _a(OCoLC)1004885805
035 _a(OCoLC)1011472890
035 _a(OCoLC)1013949441
035 _a(OCoLC)979751005
035 _a(OCoLC)980193239
035 _a(OCoLC)987945039
035 _a(OCoLC)992507820
035 _a(OCoLC)999379023
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _apl
_cPL
050 4 _aQA333
_b.A48 2014eb
072 7 _aMAT000000
_2bisacsh
072 7 _aMAT002000
_2bisacsh
072 7 _aMAT003000
_2bisacsh
072 7 _aMAT012000
_2bisacsh
082 0 4 _81p
_a510
_qDE-101
084 _aSK 400
_2rvk
100 1 _aAlvanos, Paraskevas,
_eauthor.
245 1 0 _aRiemann-Roch Spaces and Computation /
_cParaskevas Alvanos.
264 1 _aWarsaw ;
_aBerlin :
_bDe Gruyter Open Poland,
_c[2015]
264 4 _c©2015
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 0 _tFrontmatter --
_tContents --
_tPreface --
_tPart I: Riemann-Roch Spaces --
_t1 Elements of Algebra --
_t2 Function Fields and Curves --
_t3 Riemann-Roch Spaces --
_t4 Integral Domains --
_tPart II: Computation --
_t5 Computing Integral Bases --
_t6 Computing Riemann-Roch Spaces --
_t7 Computing Resultant and Norm Form Equations --
_t8 Computing Integral Points on Rational Curves --
_tAppendices --
_tBibliography --
_tIndex --
_tIndex of Algorithms
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _aThe book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex analysis and algebraic geometry. On one hand, the theorem connects the Riemann surface with its topological genus, and on the other it allows us to compute the algebraic function field spaces. In the first part of this book, algebraic structures and some of their properties are presented. The second part shows efficient algorithms and examples connected to Riemann-Roch spaces. What is important, a variety of examples with codes of algorithms are given in the book, covering the majority of the cases.
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license:
_uhttps://creativecommons.org/licenses/by-nc-nd/3.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 15. Jun 2019)
650 0 _aMathematics.
650 4 _aRiemann-Roch spaces, Diophantine equations, integral domains.
650 7 _0(DE-601)104282150
_0(DE-588)4288348-9
_aRiemann-Roch-Satz
_2gnd
650 7 _aMATHEMATICS / General.
_2bisacsh
776 0 _cEPUB
_z9783110439489
776 0 _cprint
_z9783110426137
856 4 0 _uhttps://doi.org/10.2478/9783110426120
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9783110426120.jpg
912 _aGBV-deGruyter-alles
912 _aZDB-23-GOA
999 _c535150
_d535148