LEADER 06060nam 2201417 450 001 9910816804403321 005 20230422033300.0 010 $a0-691-05075-9 010 $a1-4008-6520-4 024 7 $a10.1515/9781400865208 035 $a(CKB)3710000000221859 035 $a(EBL)1756197 035 $a(OCoLC)887499496 035 $a(SSID)ssj0001378329 035 $a(PQKBManifestationID)11816897 035 $a(PQKBTitleCode)TC0001378329 035 $a(PQKBWorkID)11339924 035 $a(PQKB)10317839 035 $a(MiAaPQ)EBC1756197 035 $a(DE-B1597)448057 035 $a(OCoLC)891400001 035 $a(OCoLC)979954521 035 $a(DE-B1597)9781400865208 035 $a(Au-PeEL)EBL1756197 035 $a(CaPaEBR)ebr10907684 035 $a(CaONFJC)MIL636774 035 $a(EXLCZ)993710000000221859 100 $a20140822h20002000 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEuler systems /$fby Karl Rubin 210 1$aPrinceton, New Jersey ;$aChichester, England :$cPrinceton University Press,$d2000. 210 4$dİ2000 215 $a1 online resource (241 p.) 225 1 $aAnnals of Mathematics Studies ;$vNumber 147 300 $aDescription based upon print version of record. 311 $a1-322-05523-8 311 $a0-691-05076-7 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tAcknowledgments /$rRubin, Karl --$tIntroduction --$tChapter 1. Galois Cohomology of p-adic Representations --$tChapter 2. Euler Systems: Definition and Main Results --$tChapter 3. Examples and Applications --$tChapter 4. Derived Cohomology Classes --$tChapter 5. Bounding the Selmer Group --$tChapter 6. Twisting --$tChapter 7. Iwasawa Theory --$tChapter 8. Euler Systems and p-adic L-functions --$tChapter 9. Variants --$tAppendix A. Linear Algebra --$tAppendix B. Continuous Cohomology and Inverse Limits --$tAppendix C. Cohomology of p-adic Analytic Groups --$tAppendix D. p-adic Calculations in Cyclotomic Fields --$tBibliography --$tIndex of Symbols --$tSubject Index 330 $aOne of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980's in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic Geometry, Euler systems should be a powerful tool in the future development of the field. Here, in the first book to appear on the subject, Karl Rubin presents a self-contained development of the theory of Euler systems. Rubin first reviews and develops the necessary facts from Galois cohomology. He then introduces Euler systems, states the main theorems, and develops examples and applications. The remainder of the book is devoted to the proofs of the main theorems as well as some further speculations. The book assumes a solid background in algebraic Number Theory, and is suitable as an advanced graduate text. As a research monograph it will also prove useful to number theorists and researchers in Arithmetic Algebraic Geometry. 410 0$aAnnals of mathematics studies ;$vNumber 147. 606 $aAlgebraic number theory 606 $ap-adic numbers 610 $aAbelian extension. 610 $aAbelian variety. 610 $aAbsolute Galois group. 610 $aAlgebraic closure. 610 $aBarry Mazur. 610 $aBig O notation. 610 $aBirch and Swinnerton-Dyer conjecture. 610 $aCardinality. 610 $aClass field theory. 610 $aCoefficient. 610 $aCohomology. 610 $aComplex multiplication. 610 $aConjecture. 610 $aCorollary. 610 $aCyclotomic field. 610 $aDimension (vector space). 610 $aDivisibility rule. 610 $aEigenvalues and eigenvectors. 610 $aElliptic curve. 610 $aError term. 610 $aEuler product. 610 $aEuler system. 610 $aExact sequence. 610 $aExistential quantification. 610 $aField of fractions. 610 $aFinite set. 610 $aFunctional equation. 610 $aGalois cohomology. 610 $aGalois group. 610 $aGalois module. 610 $aGauss sum. 610 $aGlobal field. 610 $aHeegner point. 610 $aIdeal class group. 610 $aInteger. 610 $aInverse limit. 610 $aInverse system. 610 $aKarl Rubin. 610 $aLocal field. 610 $aMathematical induction. 610 $aMaximal ideal. 610 $aModular curve. 610 $aModular elliptic curve. 610 $aNatural number. 610 $aOrthogonality. 610 $aP-adic number. 610 $aPairing. 610 $aPrincipal ideal. 610 $aR-factor (crystallography). 610 $aRalph Greenberg. 610 $aRemainder. 610 $aResidue field. 610 $aRing of integers. 610 $aScientific notation. 610 $aSelmer group. 610 $aSubgroup. 610 $aTate module. 610 $aTaylor series. 610 $aTensor product. 610 $aTheorem. 610 $aUpper and lower bounds. 610 $aVictor Kolyvagin. 615 0$aAlgebraic number theory. 615 0$ap-adic numbers. 676 $a512/.74 700 $aRubin$b Karl$059452 702 $aRubin$b Karl, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910816804403321 996 $aEuler systems$9377969 997 $aUNINA LEADER 03486nam 22008293a 450 001 9910674385303321 005 20250203235425.0 010 $a9783039215348 010 $a3039215345 024 8 $a10.3390/books978-3-03921-534-8 035 $a(CKB)4100000010106119 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/53400 035 $a(ScCtBLL)f71236df-1bf7-4e86-8fc6-593c6b5a3c33 035 $a(OCoLC)1163814706 035 $a(oapen)doab53400 035 $a(EXLCZ)994100000010106119 100 $a20250203i20192019 uu 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aMicrobial Fuel Cells 2018$fJung Rae Kim 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 210 1$aBasel, Switzerland :$cMDPI,$d2019. 215 $a1 electronic resource (84 p.) 311 08$a9783039215355 311 08$a3039215353 330 $aThe rapid growth of global energy consumption and simultaneous waste discharge requires more sustainable energy production and waste disposal/recovery technology. In this respect, microbial fuel cell and bioelectrochemical systems have been highlighted to provide a platform for waste-to-energy and cost-efficient treatment. Microbial fuel cell technology has also contributed to both academia and industry through the development of breakthrough sustainable technologies, enabling cross- and multi-disciplinary approaches in microbiology, biotechnology, electrochemistry, and bioprocess engineering. To further spread these technologies and to help the implementation of microbial fuel cells, this Special Issue, entitled "Microbial Fuel Cells 2018", was proposed for the international journal Energies. This Special Issue mainly covers original research and studies related to the above-mentioned topic, including, but not limited to, bioelectricity generation, microbial electrochemistry, useful resource recovery, system and process design, and the implementation of microbial fuel cells. 606 $aHistory of engineering and technology$2bicssc 610 $abiogenic conversion 610 $apower density 610 $atreatment efficiency 610 $amicrobial fuel cell (MFC) 610 $aflow rate 610 $ahydrogen production 610 $abioelectrochemical system 610 $aC1 gas 610 $aacetate 610 $abioelectrochemical reactor 610 $aTiO2 nanotube 610 $aenvironmental engineering 610 $alignite 610 $adye decolorization 610 $aelectrodialysis 610 $aNi?Co alloy 610 $adilution rate 610 $asubstrate supply rate 610 $acarbon monoxide 610 $ainhibition 610 $amicrobial fuel cell 610 $aacetosyringone 610 $aanodic volume 610 $amicrobial electrolysis cell 610 $asyringaldehyde 610 $alaccase 610 $amethane 610 $aanode distance 610 $acoal 610 $apower generation 610 $ayeast wastewater 610 $acathode 610 $arenewable energy source 610 $anatural redox mediators 615 7$aHistory of engineering and technology 700 $aKim$b Jung Rae$01338456 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910674385303321 996 $aMicrobial Fuel Cells 2018$93058516 997 $aUNINA