"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 ..."
"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 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 ..."
"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 ..."
"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 ..."
"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 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 ..."
"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 ..."
"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, ..."
"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 StefanMüller-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 ..."
"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 ..."
"... 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 StefanMüller-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 ..."
"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."
"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 ..."
"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