Moduli of Abelian Varieties -

Moduli of Abelian Varieties

Buch | Softcover
XII, 518 Seiten
2012 | 1. Softcover reprint of the original 1st ed. 2001
Springer Basel (Verlag)
978-3-0348-9509-5 (ISBN)
160,49 inkl. MwSt

Abelian varieties and their moduli are a central topic of increasing importance in today`s mathematics. Applications range from algebraic geometry and number theory to mathematical physics.
The present collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.
The book will appeal to pure mathematicians, especially algebraic geometers and number theorists, but will also be relevant for researchers in mathematical physics.

On extra components in the functorial compactification of Ag.- On Mumford's uniformization and Néron models of Jacobians of semistable curves over complete rings.- Torelli theorem via Fourier-Mukai transform.- On the André-Oort conjecture for Hilbert modular surfaces.- Toroidal resolutions for some matrix singularities.- Formal Brauer groups and moduli of abelian surfaces.- Isogeny classes of abelian varieties with no principal polarizations.- Igusa's modular form and the classification of Siegel modular threefolds.- Mirror symmetry and quantization of abelian varieties.- Group schemes with additional structures and Weyl group cosets.- Moduli space of elliptic curves with Heisenberg level structure.- Singularities of the height strata in the moduli of K3 surfaces.- A stratification of a moduli space of abelian varieties.- Newton polygon strata in the moduli space of abelian varieties.- The dimension of Oort strata of Shimura varieties of PEL-type.- Hyperelliptic Jacobians and modular representations.- Windows for displays of p-divisible groups.

Erscheint lt. Verlag 23.10.2012
Reihe/Serie Progress in Mathematics
Zusatzinfo XII, 518 p.
Verlagsort Basel
Sprache englisch
Maße 155 x 235 mm
Gewicht 801 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte Algebraische Geometrie • Mathematical Physics • Mathematische Physik • modular form • moduli space • Number Theory • Polygon • Zahlentheorie
ISBN-10 3-0348-9509-7 / 3034895097
ISBN-13 978-3-0348-9509-5 / 9783034895095
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