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Books by Stefan Müller-Stach






The Arithmetic and Geometry of Algebraic Cycles(Reprint)
(Nato Science Series C:)
by B. Brent Gordon, James D. Lewis, Shuji Saito, Noriko Yui, Stefan Müller-Stach, Stefan Mueller-Stach, Professor Shuji Saito
Paperback, 615 Pages, Published 2000 by Springer
ISBN-13: 978-0-7923-6194-7, ISBN: 0-7923-6194-6

"The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al­ berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off act ..."






Period Mappings and Period Domains(2nd Edition)
(Cambridge Studies in Advanced Mathematics)
by James Carlson, Chris Peters, Stefan Müller-Stach, Stefan Mueller-Stach
Paperback, 576 Pages, Published 2017 by Cambridge University Press
ISBN-13: 978-1-316-63956-6, ISBN: 1-316-63956-8

"This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They exp ..."






The Arithmetic and Geometry of Algebraic Cycles
(Nato Science Series C:)
by B. Brent Gordon, James D. Lewis, Shuji Saito, Noriko Yui, Stefan Müller-Stach, Stefan Mueller-Stach, Professor Shuji Saito, Stefan Mller-Stach
Hardcover, 615 Pages, Published 2000 by Springer
ISBN-13: 978-0-7923-6193-0, ISBN: 0-7923-6193-8

"The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al­ berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off act ..."






Period Mappings and Period Domains(2nd Edition)
(Cambridge Studies in Advanced Mathematics)
by James Carlson, Chris Peters, Stefan Müller-Stach, Stefan Mueller-Stach
Hardcover, 578 Pages, Published 2017 by Cambridge University Press
ISBN-13: 978-1-108-42262-8, ISBN: 1-108-42262-4

"This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They exp ..."






Period Mappings and Period Domains
by James Carlson, Stefan Müller-Stach, Chris Peters
Published 2017 by Cambridge University Press
ISBN-13: 978-1-108-11818-7, ISBN: 1-108-11818-6

"Peters, C. 1975. The local Torelli theorem: complete intersections. Math. Ann., 217, 1–16. Peters, C. 1976a. Erratum to “The local Torelli theorem. I: complete intersections”. Math. Ann., 223, 191–192. Peters, C. 1976b. The local Torelli theorem II: cyclic branched coverings. Ann. Sc. Norm. Sup. Pisa Ser. IV, 3, 321– 339. Peters, C. 1984. A criterion for flatness of Hodge bundles over curves and geometric applications. Math. Ann., 2 ..."






Period Mappings and Period Domains(2nd Edition)
(Cambridge Studies in Advanced Mathematics)
by James Carlson, Chris Peters, Stefan Müller-Stach, Stefan Mueller-Stach
Hardcover, 590 Pages, Published 2017 by Cambridge University Press
ISBN-13: 978-1-107-18986-7, ISBN: 1-107-18986-1

"This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They exp ..."






Period Mappings and Period Domains
(Cambridge Studies in Advanced Mathematics)
by James Carlson, Chris Peters, Stefan Müller-Stach, Stefan Mueller-Stach
Paperback, 446 Pages, Published 2013 by Cambridge University Press
ISBN-13: 978-1-107-41277-4, ISBN: 1-107-41277-3

"The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the complex structure of a two-torus varies, thereby showing that certain families contain all elliptic curves. Generalizing to higher dimensions resulted in the formulation of the celebrated H ..."






Period Mappings and Period Domains(1st Edition)
(Cambridge Studies in Advanced Mathematics)
by Chris Peters, Stefan Müller-Stach, James A. Carlson, James Carlson, Stefan Mueller-Stach
Hardcover, 448 Pages, Published 2003 by Cambridge University Press
ISBN-13: 978-0-521-81466-9, ISBN: 0-521-81466-9

"The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the complex structure of a two-torus varies, thereby showing that certain families contain all elliptic curves. Generalizing to higher dimensions resulted in the formulation of the celebrated H ..."






Transcendental Aspects of Algebraic Cycles(1st Edition)
Proceedings of the Grenoble Summer School, 2001 (London Mathematical Society Lecture Note Series)
by C. Peters, S. Müller-Stach, Stefan Muller-Stach, Chris Peters, S. Mueller-Stach, London Mathematical Society
Paperback, 310 Pages, Published 2004 by Cambridge University Press
Mobipocket_Ebook
ISBN-13: 978-0-521-54547-1, ISBN: 0-521-54547-1

"This is a collection of lecture notes from the Summer School 'Cycles Algébriques; Aspects Transcendents, Grenoble 2001'. The topics range from introductory lectures on algebraic cycles to more advanced material. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. Among the topics treated are: cycle spaces, Chow topology, morphic cohomology, ..."






Elementare und algebraische Zahlentheorie(2nd Edition)
Ein moderner Zugang zu klassischen Themen (German Edition)
by Stefan Müller-Stach, Jens Piontkowski, Stefan Mç¬Ller-Stach
Paperback, 261 Pages, Published 2011 by Vieweg+Teubner Verlag
ISBN-13: 978-3-8348-1256-8, ISBN: 3-8348-1256-0

"Das Buch wendet sich an alle, die in die klassischen Themen der Zahlentheorie einsteigen wollen. Viel Wert wird auf die konkrete Berechenbarkeit bei allen Problemlösungen gelegt. So gibt es auch Abschnitte über moderne Primzahltests und Faktorisierungsalgorithmen und am Ende des Buches wird ein Weg zur Bestimmung der Klassenzahl der quadratischen Zahlkörper aufgezeigt. Im Rahmen der Bachelor-/Master-Studiengä ..."






Richard Dedekind
Was sind und was sollen die Zahlen? Stetigkeit und Irrationale Zahlen (Klassische Texte der Wissenschaft) (German Edition)
by Stefan Müller-Stach, Springer Spektrum
Paperback, 203 Pages, Published 2017 by Springer Spektrum
ISBN-13: 978-3-662-54338-2, ISBN: 3-662-54338-9

"Was sind und was sollen die Zahlen? Stetigkeit und Irrationale ZahlenBroschiertes BuchDie beiden Bücher "Was sind und was sollen die Zahlen?" (1888) und "Stetigkeit und Irrationale Zahlen" (1872) sind Dedekinds Beiträge zu den Grundlagen der Mathematik; er legte darin die Grundsteine der Mengenlehre und der Theorie der reellen und natürlichen Zahlen. Diese Schriften sind aus der modernen Mathematik nicht mehr wegzudenken. Dennoch wurde ..."






Periods and Nori Motives(1st Edition)
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
by Annette Huber, Stefan Müller-Stach, Benjamin Friedrich, Jonas Von Wangenheim, Stefan Mueller-Stach
Hardcover, 372 Pages, Published 2017 by Springer
ISBN-13: 978-3-319-50925-9, ISBN: 3-319-50925-X

"This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori s abelian category of mixed motives. It develops Nori s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties.Peri ..."






Periods and Nori Motives
by Annette Huber, Stefan Müller-Stach
372 Pages, Published 2017 by Springer
ISBN-13: 978-3-319-50926-6, ISBN: 3-319-50926-8

"... Duco van Straten, Konrad Völkel and Matthias Wendt. We are very grateful to Wolfgang Soergel for his continuous support in the Tannakian aspects of Part II. His insights greatly improved the exposition. We thank Jörg Schürmann for his patient explanations on weakly constructible sheaves in Sect. 2.5. We would not have been able to find all these references without him. We thank Yves André for sharing his insights on the period ..."






Richard Dedekind
Was sind und was sollen die Zahlen? Stetigkeit und Irrationale Zahlen
by Stefan Müller-Stach
203 Pages, Published 2017 by Springer-Verlag
ISBN-13: 978-3-662-54339-9, ISBN: 3-662-54339-7

"Stetigkeit und Irrationale Zahlen Stefan Müller-Stach. enthalten, Q ̄ ∩ R betrachtet. wobei er Dedekinds allerdings Beitrag unnötigerweise wird in nur dieser reelle ... Dies ist vermutlich ein Zugeständnis an den Herausgeber Kronecker und dessen Haltung zur Cantor Menge hat aller in seinem reellen Leben Zahlen. zwei ̈Uberabzählbarkeitsbeweise gegeben [95]. Dieser erste ist sehr bemerkenswert und weitgehend unbekannt. Cantor beweist ..."






The Arithmetic and Geometry of Algebraic Cycles
by B. Brent Gordon, James Lewis, Stefan Müller-Stach, Shuji Saito, Noriko Yui
615 Pages, Published 2012 by Springer Science & Business Media
ISBN-13: 978-94-011-4098-0, ISBN: 94-011-4098-7

"Collino, A., Griffiths' infinitesimal invariant and higher K-theory on hyperelliptic jacobians, J. of Alg. Geom. 6 (1997) ... Jannsen, U., Motivic sheaves and filtrations on Chow groups, Motives (Jannsen, Kleiman, Serre, eds.), Proc. Symp. ... Murre, J.P., Algebraic cycles and algebraic aspects of cohomology and K- theory, Algebraic Cycles and Hodge Theory, Torino, 1993 (Albano & Bardelli, eds .), Lect."






Elementare und Algebraische Zahlentheorie
Ein Moderner Zugang Zu Klassischen Themen
by Stefan Müller-Stach, Jens Piontkowski
261 Pages, Published 2011 by Springer-Verlag
ISBN-13: 978-3-8348-8263-9, ISBN: 3-8348-8263-1

"Ein moderner Zugang zu klassischen Themen Stefan Müller-Stach, Jens Piontkowski ... ̄ F ̈urS G bezeichnet S die von S erzeugte Untergruppe, d.h. die kleinste Untergruppe von G, die S enth ̈alt. Die Elemente von S heißen Erzeuger von ..."






Elementare und algebraische Zahlentheorie(1st Edition)
Ein moderner Zugang zu klassischen Themen
by Stefan Müller-Stach, Jens Piontkowski
Paperback, 240 Pages, Published 2007 by Vieweg
ISBN-13: 978-3-8348-0211-8, ISBN: 3-8348-0211-5

"Ein moderner Zugang zu klassischen Themen Stefan Müller-Stach, Jens Piontkowski ... Ist L = K(a), so hat das Minimalpolynom von a selbst den Grad n = [L : K]. Ist K C K(ß) C L, so gilt [L:K} = [K(a) : K(ß)] □ [K(ß) : K], d.h. der Grad des Minimalpolynoms von ß teilt n=[L:K}. Betrachten wir nochmal L = K(a) C C Das Minimalpolynom von a hat n verschiedene Nullstellen a,- in C, die Konjugierten von a. Jede Nullstelle a,- definiert ein ..."






Der Code der Mathematik
Beweis und Wahrheit (German Edition)
by Müller-Stach, Stefan
Paperback, 193 Pages, Published 2023 by Springer Spektrum
ISBN-13: 978-3-662-66561-9, ISBN: 3-662-66561-1






Periods and Nori Motives(Softcover reprint of the original 1st ed. 2017)
(Paperback)
by Annette Huber
Paperback, 395 Pages, Published 2018 by Springer International Publishing Ag, Switzerland
ISBN-13: 978-3-319-84524-1, ISBN: 3-319-84524-1






Richard Dedekind
Was sind und was sollen die Zahlen? Stetigkeit und Irrationale Zahlen (Klassische Texte der Wissenschaft) (German Edition) by Müller-Stach, Stefan [Paperback ]
by Müller-Stach, Stefan
Paperback, 212 Pages, Published 2023 by Springer Spektrum
ISBN-13: 978-3-662-68141-1, ISBN: 3-662-68141-2



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